Publications of Stefan Sauter (total list after date)
1) F. Florian, R. Hiptmair, S. Sauter
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients;
submitted (2023) arXiv:2305.00959
2) B. Grässle, N.-E. Bohne, S. Sauter
The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element;
submitted (2022) arXiv:2212.09673
3) J.M. Melenk, S. Sauter
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions;
Foundations of Computational Mathematics, Online first (Nov. 2023) link, arXiv:2201.02602
4) S. Sauter
The inf-sup constant for hp-Crouzeix-Raviart triangular elements ;
Comput. Math. Appl., no. 149, pp. 49-70(2023) link, arXiv:2204.01270
5) S. Sauter, C. Torres
On the Inf-Sup Stabillity of Crouzeix-Raviart Stokes Elements in 3D;
Math Comp 92, no. 341, 1033-1059(2022) link, arXiv:2205.00062
6) C. Carstensen, S. Sauter
Crouzeix-Raviart triangular elements are inf-sup stable;
MathComp 91, pp. 2041-2057(2022) arXiv:2105.14987
7) C. Carstensen, S. Sauter
Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements;
Computers & Mathematics with Applications, 108:12-23(2022) link, arXiv:2105.14981
8) M. Bernkopf, S. Sauter, C. Torres, A. Veit
Solvability of Discrete Helmholtz Equations;
IMA Journal of Numerical Analysis (2022) link, arXiv:2105.02273
9) M. Grote, S. Michel, S. Sauter
Stabilized leapfrog based local time-stepping method for the wave equation;
Math. Comp. 90, pp. 2603-2643(2021) link, arXiv:2005.13350
10) M. Chipot, W. Hackbusch, S. Sauter, A. Veit
Numerical approximation of Poisson problems in long domains;
Vietnam Journal of Mathematics, pp. 1-19(2021) link, arXiv:1811.02227
11) S. Börm, M. López Fernández, S. Sauter
Variable Order, Directional H^2-Matrices for Helmholtz Problems with Complex Frequency;
IMA Journal of Numerical Analysis, Vol. 41, Issue 4, pp. 2896–2935 (October 2021) link, arXiv:1903.02803
12) J.M. Melenk, S. Sauter
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with transparent boundary conditions;
Foundations of Computational Mathematics, 21, pp. 125–241(2021) link, arXiv:1803.01619
13) S. Eberle, F. Florian, R. Hiptmair, S. Sauter
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions;
SIAM J. Math. Anal., Vol. 53(2), pp. 1492–1508(2021) link, arXiv:1907.01738
14) S. Sauter, C. Torres
The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's Operator and Stability Estimates;
Asymptotic Analysis, Vol. 125, no. 3-4, pp. 289-325(2021) link, arXiv:2006.15866
15) J.M. Melenk, S. Sauter, C. Torres
Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems;
SIAM J. Numer. Anal., 58(4), 2119 - 2143(2020) link, arXiv:1904.00207
16) S. I. Repin, S. Sauter
Accuracy of Mathematical Models. Dimension Reduction, Homogenization, and Simplification;
Book, pp. 317, EMS (2020)
17) R. Gasser, J. Gedicke, S. Sauter
Benchmark computation of eigenvalues with large defect for non-selfadjoint elliptic differential operators;
SIAM J. Sci. Comput., 41(6), A3938–A3953 (2019) link, arXiv:1902.02114
18) I. G. Graham, S. Sauter
Stability and error analysis for the Helmholtz equation with variable coefficients;
Mathematics of Computation, Vol. 89(321), pp. 105–138 (2019) link, arXiv:1803.00966
19) S. Sauter, C. Torres
Stability estimate for the Helmholtz equation with rapidly jumping coefficients ;
Zeitschrift für Angewante Mathematik und Physik (ZAMP), 69:139 (2018) link, arXiv:1711.05430
20) U. Vögeli, K. Nedaiasl, S. Sauter
A Fully Discrete Galerkin Method for Abel-type Integral Equations;
Adv. Comput Math., Vol. 44(5), pp. 1601 - 1626 (2018) link, arXiv:1612.01285
21) M. Grote, M. Mehlin, S. Sauter
Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation;
SIAM J. Numer. Anal., 56(2), 994 – 1021 (2018) link, arXiv:1703.07965
22) P. Ciarlet, Jr., Ch.F. Dunkl, S. Sauter
A Family of Crouzeix-Raviart Finite Elements in 3D;
Analysis and Applications, Vol 16(05), pp. 649 - 691 (2018) link, arXiv:1703.03224
23) S. Sauter, M. Schanz
Convolution Quadrature for the Wave Equation with Impedance Boundary Conditions;
Journal of Computational Physics, Vol 334, pp. 442 - 459 (2017) link , PDF
24) M. Weymuth, S. Sauter, S. I. Repin
A Posteriori Modelling-Discretization Error Estimate for Elliptic Problems with L∞-Coefficients ;
Comput. Methods Appl. Math. Vol. 17(3), pp. 515 - 531 (2017) link, arXiv:1704.01890
25) D. Pölz, S. Sauter, M. Schanz
Convolution Quadrature based BEM in acoustics for absorbing boundary conditions;
Proceedings in Applied Mathematics and Mechanics (PAMM), Vol 16 (1), pp. 23 - 26 (2016) link, PDF
26) K. Maleknejad, P. Torabi, S. Sauter
Numerical Solution of a Non-Linear Volterra Integral Equation;
Vietnam Journal of Mathematics, 44 (1), pp. 5 - 28 (2016) link, PDF
27) S. Falletta, S. Sauter
The Panel-Clustering Method for the Wave Equation in Two Spatial Dimensions;
J. of Computational Physics, 305 (C), pp. 217 - 243 (2016) link, PDF
28) M. López Fernández, S. Sauter
Generalized Convolution Quadrature based on Runge-Kutta Methods;
Numerische Mathematik, 133 (4), pp. 734 - 779 (2016) link, PDF
29) S. Sauter, A. Veit
Adaptive Time Discretization for Retarded Potentials;
Numerische Mathematik, 132(3), pp. 569 - 595 (2016) link, arXiv:1404.2322
30) P.G. Ciarlet, P. Ciarlet, Jr., S. Sauter, C. Simian
Intrinsic Finite Element Methods for theComputation of Fluxes for Poisson’s Equation;
Numerische Mathematik, 132 (3), pp. 433 - 462 (2016) link, PDF
31) S. I. Repin, T. Samrowski, S. Sauter
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem;
J. Numerical Mathematics, Vol 24(1), pp. 1 - 15 (2016) link, PDF
32) S. Sauter, J. Zech
A Posteriori Error Estimation of HP-DG finite Element Methods for highly indefinite Helmholtz Problems;
SIAM, J. Numer. Anal., 53 (5), pp. 2414 - 2440 (2015) link, arXiv:1407.1430
33) R. Bank, A. Parsania, S. Sauter
Saturation Estimates for hp-Finite Element Methods;
Computing and Visualization in Science, Vol 16 (5), pp. 195 - 217 (2015) link, PDF
34) S. Sauter, T. Koornwinder
The Intersection of Bivariate Orthogonal Polynomials on Triangle Patches;
Mathematics of Computation, 84(294), pp. 1795 - 1812 (2015) link, arXiv:1307.8429
35) M. López Fernández, S. Sauter
Generalized Convolution Quadrature with Variable Time Stepping.Part II: Algorithm and Numerical Results;
Applied Numerical Mathematics, 94, pp. 88 - 105 (2015) link, PDF
36) M. López Fernández, S. Sauter
Fast and Stable Contour Integration for High Order Divided Differences via Elliptic Functions;
Math. Comp. 84, pp. 1291 - 1315 (2015) link, PDF
37) S. Falletta, S. Sauter
Functional Estimates for Derivatives of the Modified Bessel Function K_0 and related Exponential Functions;
J. Math. Anal. Appl., 417 (2), pp. 559 - 579 (2014) link, arXiv:1310.8493
38) J.M. Melenk, A. Parsania, S. Sauter
Generalized DG Methods for Highly Indefinite Helmholtz Problems Based on the Ultra-Weak Variational Formulation;
Published with new title: "General DG-Methods for Highly Indefinite Helmholtz Problems"; J Sci Comput, 57(3), pp. 536 - 581 (2013) link, PDF
39) S. I. Repin, T. Samrowski, S. Sauter
A Posteriori Error Majorants of the Modelling Errors for Elliptic Homogenization Problems;
Comptes Rendus Mathématiques, 351 (23-24), pp. 877 - 882 (2013) link, PDF
40) M. López Fernández, S. Sauter
A Generalized Convolution Quadrature with Variable Time Stepping;
IMA J. Numer. Anal., Vol 33(4), pp. 1156 - 1175 (2013) link, PDF .
41) J. Ballani, L. Banjai, S. Sauter, A. Veit
Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature;
Numer. Math., Vol 123(4), pp. 643 - 670 (2013) link, PDF
42) W. Dörfler, S. Sauter
A Posteriori Error Estimation for Highly Indefinite Helmholtz Problems;
Comp. Meth. Appl. Math., Vol 13(3), pp. 333 - 347 (2013) link, PDF
43) S. Sauter, A. Veit
Exact Solutions of Retarded Boundary Integral Equations: Implementation and Examples. Revised version with new title: A Galerkin Method for Retarded Boundary Integral Equations with Smooth and Compactly Supported Temporal Basis Functions. Part II: Implementation and Reference Solutions;
Numer. Math., Vol 123(1), pp. 145 - 176 (2013) PDF additional material
44) S. Sauter, A. Veit
A Galerkin Method for Retarded Boundary Integral Equations with Smooth and Compactly Supported Temporal Basis Functions;
Numer. Math., Vol 123(1), pp. 145 - 176 (2013) link, PDF
45) S. Sauter
A Posteriori Error Estimation for Elliptic PartialDifferential Equations.Lecture Notes of the Zürich Summerschool 2012.;
Preprint 11-2012, University of Zurich (2012) PDF
46) L. Banjai, S. Sauter
Frequency Explicit Regularity Estimates for the Electric Field Integral Operator;
Preprint 05-2012, University of Zurich (2012) PDF
47) S. I. Repin, T. Samrowski, S. Sauter
Combined a posteriori modelling-discretization error estimate for elliptic problems with variable coefficients;
ESAIM: Math. Model. Numer. Anal., Vol 46, pp. 1389 - 1405 (2012) link, PDF
48) L. Grasedyck, I. Greff, S. Sauter
The AL Basis for the solution of elliptic problems in heterogeneous media;
SIAM J. Mulatiscale Model. Simul., Vol 10(1), pp. 245 - 258 (2012) link, PDF
49) D. Peterseim, S. Sauter
Error Estimates for Finite ElementDiscretizations of Elliptic Problems withOscillatory Coefficients;
appeared with new title: Finite Elements for Elliptic Problems with Highly Varying, Nonperiodic Diffusion Matrix
SIAM, Multiscale Model. Simul. Vol 10(3), pp. 665 - 695 (2012) link, PDF
50) W. Hackbusch, B. N. Khoromskij, S. Sauter, E. E. Tyrtyshnikov
Use of Tensor Formats in Elliptic Eigenvalue Problems;
Num. Lin. Alg. Appl. Vol 19(1), pp. 133 - 151 (2012) link, PDF
51) B. N. Khoromskij, S. Sauter, A. Veit
Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation;
Computational Methods in Applied Mathematics, Vol 11(3), pp. 342 - 362 (2011) link, PDF
52) S. Sauter, C. Schwab
Boundary Element Methods;
Book, pp. 561, Springer (2011)
53) T. Preusser, M. Rumpf, S. Sauter, O. Schwen
3D composite finite elements for elliptic boundary value problems with discontinuous coefficients;
SIAM Journal on Scientific Computing, Vol 33(5), pp 2115 - 2143 (2011) link, PDF
54) J.M. Melenk, S. Sauter
Wave-Number Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
SIAM J. Numer. Anal., Vol 49, pp. 1210 - 1243 (2011); extended version link,;
PDF
55) P.G. Ciarlet, P. Ciarlet, Jr., O. Iosifescu, S. Sauter, J. Zou
Lagrange multipliers in intrinsic elasticity;
Math. Mod. Meth. Appl. Sci. (M3AS). Vol 21(4), pp. 651-666 (2011) link
56) D. Braess, S. Sauter, C. Schwab
On the Justification of Plate Models;
Journal of Elasticity, Vol 103(1), pp. 53-71 (2011) link, PDF
57) D. Peterseim, S. Sauter
Finite element methods for the Stokes problem on complicated domains;
Comput. Methods Appl. Mech. Engrg. Vol 200(33-36), pp. 2611 - 2623 (2011) link, PDF
58) S. I. Repin, S. Sauter
Estimates of the modeling error for the Kirchhoff-Love plate model;
Comptes Rendus Mathematique, 348(17-18), 1039 - 1043 (2010) link
59) P.G. Ciarlet, P. Ciarlet, Jr., O. Iosifescu, S. Sauter, J. Zou
A Lagrangian approach to intrinsic linearized elasticity;
Comptes Rendus Mathematique, Ser. I, 348(9-10), 587 - 592 (2010) link
60) J.M. Melenk, S. Sauter
Convergence Analysis for Finite Element Discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions;
Mathematics of Computation, Vol 79(272), pp. 1871 - 1914 (2010) link, PDF
61) S. I. Repin, S. Sauter
Computable estimates of the modeling error related to Kirchhoff-Love plate model;
Analysis and Applications (AA), Vol. 8(4), pp. 409 - 428 (2010) link, PDF
62) S. Sauter
Finite Elements for Elliptic Eigenvalue Problems: Error estimates which are explicit with respect to $\lambda$, h and p;
SIAM J. Numer. Anal., Vol. 48(1), pp. 95 - 108 (2010) link, PDF
63) F. Lihr, T. Preusser, M. Rumpf, S. Sauter, O. Schwen
Composite Finite Elements for 3D Image Based Computing;
Computing and Visualization in Sciences, Vol 12(4), pp. 171 – 188 (2009) link, PDF
64) W. Hackbusch, W. Kress, S. Sauter
Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation;
IMA, J. Numer. Anal., Vol 29(1), pp. 158 - 179 (2009) link, PDF
65) S. Sauter
Finite Elements for Elliptic Eigenvalue Problems: Lecture Notes for the Zürich Summerschool 2008;
PDF
66) L. Banjai, S. Sauter
Rapid solution of the wave equation in unbounded domains;
SIAM J. Num. Anal., Vol 47(1), pp. 227 - 249 (2008) link, PDF
67) D. Peterseim, S. Sauter
The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains;
SIAM J. Num. Anal., Vol 46(6), pp. 3181 - 3206 (2008) link, PDF
68) I. Babuska, S. Sauter
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method;
SIAM, J. Sci. Comput., Vol 30(5), pp. 2386 - 2404 (2008) link, PDF
69) I. G. Graham, L. Grasedyck, W. Hackbusch, S. Sauter
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement;
SIAM J. Num. Anal., Vol 46(1), pp. 517 - 543 (2008) link, PDF
70) D. Peterseim, S. Sauter
Recent advances in Composite Finite Elements;
Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach Reports No. 23-2008, Schnelle Löser für partielle Differentialgleichungen link
71) Ch. Wüst, S. Sauter, P.I. Ward, L. F. Bussiere
The fluid dynamics of yellow dung fly sperm flow;
Preprint 16-2008, University of Zurich (2008) PDF
72) L. Banjai, S. Börm, S. Sauter
FEM for Elliptic Eigenvalue Problems: How Coarse Can the Coarsest Mesh be Chosen? An Experimental Study.;
Computing and Visualization in Sciences, Vol 11(4-6), pp. 363 - 372 (2008) link, PDF
73) W. Kress, S. Sauter
Numerical treatment of Retarded BoundaryIntegral Equations by Sparse Panel Clustering;
IMA J. Numer Anal., Vol 28, pp. 162 - 185 (2008) link, PDF
74) W. Hackbusch, W. Kress, S. Sauter
Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and Panel-Clustering;
In: M. Schanz, O. Steinbach (Eds.): Boundary Element Analysis, Springer, pp. 113 - 134 (2007) link, PDF
75) L. Banjai, S. Sauter
A refined Galerkin error and stability analysis for highly indefinite variational problems;
SIAM J. on Num. Anal., Vol 45(1), pp. 37 - 53 (2007) link, PDF
76) S. I. Repin, S. Sauter, A. Smolianski
Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems;
SIAM J. Num. Anal., Vol 45(3), pp. 928 - 945 (2007) link, PDF
77) W. Hackbusch, B. N. Khoromskij, S. Sauter
Adaptive Galerkin Boundary Element Methods with Panel Clustering;
Numer. Math., Vol 105(4), pp. 603 - 631 (2007) link, PDF
78) D. Peterseim, S. Sauter
The Composite Mini Element - A new mixed FEM for the Stokes equations on complicated domains;
Proceedings of the 6th International Congress on Industrial and Applied Mathematics, Vol 7(1), (2007) link
79) S. Sauter
A Refined Finite Element Convergence Theory for Highly Indefinite Helmholtz Problems;
Computing, Vol 78(2), 101 - 1115 (2006) link, PDF
80) W. Hackbusch, M. Löhndorf, S. Sauter
Coarsening of Finite Element and Boundary Element Spaces;
Computing, Vol 77(3), 253 - 273 (2006) link, PDF
81) S. Nicaise, S. Sauter
Efficient Numerical Solution of Neumann Problems on Complicated Domains;
Calcolo, Vol 43(2), 95 - 120 (2006) link, PDF
82) S. I. Repin, S. Sauter
Functional A Posteriori Estimates for theReaction-Diffusion Problem;
Comptes rendus Mathematique, Vol 343(5), 349 - 355 (2006) link
83) S. Sauter, R. Warnke
Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients;
Computing, Vol 77(1), pp. 29 - 55 (2006) link, PDF
84) A. Buffa, S. Sauter
On the acoustic single layer potential: Stabilisation and Fourier analysis;
SIAM, J. Sci. Comput., Vol 28(5), pp. 1974 - 1999 (2006) link, PDF
85) M. Rech, S. Sauter, A. Smolianski
Two-Scale Composite Finite Element Method for the Dirichlet Problem on Complicated Domains;
Numer. Math., Vol 102(4), pp. 681 - 708 (2006) link, PDF (revised version, July 2005)
86) S. Börm, N. Krzebek, S. Sauter
May the singular integrals in BEM be replaced by Zero?;
Comp. Meth. in Appl. Mech. Eng., 194(2-5), pp. 383 - 393 (2005) link, PDF
87) S. Börm, S. Sauter
Classical BEM with linear complexity;
Mathematics of Computation, Vol 74, pp. 1139 - 1177 (2005) link, PDF
88) I. G. Graham, W. Hackbusch, S. Sauter
Finite elements on degenerate meshes: inverse-type inequalities and applications.;
IMA, J. Numer. Anal., Vol 25(2), pp. 379 - 407 (2005) link, PDF
89) S. Sauter, C. Schwab
Randelementmethoden;
Book, pp. 382, Teubner (2004)
90) T. Preusser, H.-O. Peitgen, F. Liehr, M. Rumpf, U. Weikard, S. Sauter
Simulation of radio-frequency ablation using composite finite element methods;
In: Perspective in Image Guided Surgery, Proceedings of the Scientific Workshop on Medical Robotics, Navigation and Visualization. Remangen: World Scientific, pp. 303 - 310 (2004) link
91) I. Babuska, S. Sauter
Algebraic Algorithms for the Analysis of Mechanical Trusses;
Mathematics of Computation, Vol 73, pp. 1601 - 1622 (2004) link, PDF
92) W. Dahmen, B. Faermann, I. G. Graham, W. Hackbusch, S. Sauter
Inverse Inequalities on Non-Quasiuniform Mehses and Applications to the Mortar Element Method;
Mathematics of Computation, 73, 1107 - 1138 (2004) link, PDF
93) S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Error Estimation for the Poisson Equation with Mixed Dirichlet/Neumann Boundary Conditions;
JCAM, Vol 164 - 165, 601 - 612 (2004) link, PDF
94) S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Estimation of Dimension Reduction Errors;
Proceedings von ENUMATH 2003 Conference, (eds. M. Feistauer, V. Dolejsi, P. Knobloch, K. Najzar), Springer, Berlin, pp. 716 - 725 (2004) link, PDF
95) I. Babuska, S. Sauter
Efficient Solution of Lattice Equations by the Recovery Method. Part 1: Scalar Elliptic Problems;
Comp. Vis. Sci.,Vol 7(3-4), pp. 113 - 119 (2004) link, PDF
96) S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Estimation of Dimension Reduction Errors for Elliptic Problems on Thin Domains;
SIAM J. Numer. Anal., Vol 42(4), pp. 1435 - 1451 (2004) link, PDF
97) C. Carstensen, S. Sauter
A posteriori error analysis for elliptic PDEs on domains with complicated structures;
Numer. Math., Vol 96(4), pp. 691 - 721 (2004) link, PDF
98) S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Error Estimation for the Dirichlet Problem with Account of the Error in the Approximation of Boundary Conditions;
Computing, Vol 70(3), pp. 205 - 233 (2003) link, PDF
99) D. Feuchter, I. Heppner, S. Sauter, G. Wittum
Bridging the gap between geometric and algebraic multi-grid methods;
Computing and Visualization in Science, Vol 6(1), pp. 1 - 13 (2003) link, PDF
100) N. Krzebek, S. Sauter
Fast Cluster Techniques for BEM;
Eng. Analysis with Boundary Elem., Vol 27(5), pp. 455 - 467 (2003) link, PDF (revised version)
101) S. Sauter
Composite Finite Elements and Multigrid ;
Lecture Notes of the Zürich Summerschool 02, Preprint Nr. 22-2002 (2002), Universität Zürich PDF
102) N. Frauböse, S. Sauter
Composite Finite Elements and Multi-Grid. Part I: Convergence Theory in 1-d;
Proceedings of the 17th GAMM-Seminar Leipzig on Construction of Grid Generation Algorithms, MPI Leipzig, pp. 69 - 86 (2001) link, PDF
103) S. Sauter, C. Lage
Transformation of hypersingular integrals and black-box cubature;
Mathematics of Computation, Vol 70, pp. 223 - 250 (2001) link, PDF
104) I. G. Graham, W. Hackbusch, S. Sauter
Hybrid Galerkin Boundary Elements: Theory and Implementation;
Numer. Math. Vol 86(1), pp. 139 - 172 (2000) link
105) I. G. Graham, W. Hackbusch, S. Sauter
Discrete Boundary Element Methods on General Meshes in 3D;
Numer. Math., Vol 86(1), pp. 103 - 137 (2000) link
106) I. G. Graham, W. Hackbusch, S. Sauter
Hybrid Galerkin boundary elements on degenerate meshes;
In "Mathematical Aspects of Boundary Element Methods" Eds. M. Bonnet, A.M. Saendig, W.L. Wendland. Eds, pp. 140 - 151, CRC Press (2000) link
107) W. Hackbusch, B. N. Khoromskij, S. Sauter
On H^2 matrices;
In: "Lectures on Applied Mathematics", Eds. H.-J. Bungartz, R.H.W. Hoppe, C. Zenger, Springer-Verlag, Heidelberg pp. 9 - 30 (2000) link, PDF
108) S. Sauter
Variable order panel clustering;
Computing, Vol 64(3), pp. 223 - 261 (2000) link, PDF
109) K. Hayami, S. Sauter
A panel clustering method for 3-d elastostatics using spherical harmonics;
In: "Integral methods in science and engineering", Eds. B. Bertram, C. Constanda and A. Struthers, Chapman & Hall/CRC, London, pp. 179-184 (2000) link
110) I. Babuska, S. Sauter
Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers;
SIAM, J. Numer. Anal. Vol 34 (1997), 2392 - 2423, Revised and reprinted in: SIAM Reviews, Vol 42(3), pp. 451 - 484 (2000) link
111) M. Gnewuch, S. Sauter
Boundary integral equation for second order elliptic boundary value problems;
Preprint Nr. 55/1999, Max-Planck-Institut für Mathematik, Leipzig (1999) link, PDF
112) I. G. Graham, R.A. Horrocks, S. Sauter
Enriched Hybrid Galerkin BEM;
Proceedings of 2nd UK Conference on Boundary Integral Methods, Brunel University Press, (L. Wrobel, S.N. Chandler-Wilde, Eds.), pp. 177-188 (1999)
113) S. Sauter, R. Warnke
Extension operators and approximation on domains containing small geometric details;
East-West J. Numer. Math., Vol 7(1), pp. 61 - 77 (1999) link, PDF
114) I. G. Graham, W. Hackbusch, S. Sauter
Fast integration techniques in 3D boundary elements.;
In Domain Decomposition Methods in Science and Engineering (Eds., P.E. Bjoerstad, M. Cross, C.-H. Lai, O. Widland), Domain Decomposition Press, Bergen, pp. 37 - 48 (1999) link, PDF
115) W. Hackbusch, S. Sauter
A new finite element approach for problems containing small geometric details;
Arch. Math., Vol 34(1), pp. 105 - 117 (1998) link, PDF
116) K. Hayami, S. Sauter
Cost estimation of the panel clustering method applied to 3-D elastostatcs;
in C.A. Brebbia ed., Proceedings of the Second European Boundary Element Symposium, Southampton, May, 1998, Computational Mechanics Publication, U.K., pp. 33 - 42 (1998) link
117) S. Erichsen, S. Sauter
Efficient automatic quadrature in 3-d Galerkin BEM;
Computer Methods in Applied Mechanics and Engineering 157, Elsevier, pp. 215 - 224 (1998) link
118) K. Hayami, S. Sauter
Panel Clustering for 3-d Elastostatics using spherical harmonics;
In: A. Kassab, C.A. Brebbia and M. Chopra eds., Boundary Elements XX, Proc. 20th Int. Conf. on the Boundary Element Method, Orlando, Computational Mechanics Publications, pp. 289 - 298 (1998) link
119) S. Sauter
The Panel Clustering Method in 3-d BEM;
Wave Propagation in Complex Media (G. Papanicolaou ed.), Springer, IMA-Volumes in Mathematics and its Applications 96, pp. 199 - 224 (1998) link, PDF
120) K. Hayami, S. Sauter
Application of the panel clustering method to the three-dimensional elastostatic problem;
Boundary Elements XIX, Proceedings of the 19th International Conference on the Boundary Element Method, Rome, 1997, Computational Mechanics Publications, (M. Marchetti, C.A. Brebbia and M.H.Aliabadi, eds.), pp. 625 - 634 (1997) link
121) S. Sauter
Composite Finite Elements for problems with complicated boundary. Part III: Essential Boundary Conditions;
Technical-Report 97-16, Universität Kiel (1997) PDF
122) W. Hackbusch, S. Sauter
Composite Finite Elements for the approximation of PDEs on domains with complicated micro-structures;
Numer. Math., Vol 75(4), pp. 447 - 472 (1997) link, PDF
123) W. Hackbusch, S. Sauter
Composite finite elements for problems containing small geometric details. Part II: Implementation and numerical results;
Computing and Visualization in Science, Vol 1, pp. 15 - 25 (1997) link, PDF
124) W. Hackbusch, C. Lage, S. Sauter
On the efficient realization of sparse matrix techniques for integral equations with focus on panel clustering, cubature and software design aspects;
Boundary Element Topics, Springer, (eds. W.L. Wendland), pp. 51 - 76 (1997) link, PDF
125) S. Sauter, C. Schwab
Quadrature for hp-Galerkin BEM in R^3;
Numer. Math., Vol 78, pp. 211 - 258 (1997) link, PDF
126) I. Babuska, F. Ihlenburg, S. Sauter
Reliability of finite element methods for the numerical computation of waves;
Advances in Engineering Software, Vol 28, pp. 417 - 424 (1997) link, PDF
127) I. G. Graham, W. Hackbusch, S. Sauter
The hybrid Galerkin boundary element method;
Proceedings of the First UK Conference on Boundary Integral Methods, (L. Elliot, D.B. Ingham, D. Lesnic, eds.), Leeds University Press, pp. 98 - 107 (1997)
128) S. Sauter
Vergröberung von Finite-Elemente-Räumen;
Habilitationsschrift, Universität Kiel (1997) PDF
129) K. Hayami, S. Sauter
A formulation of the Panel-Clustering Method for three-dimensional elastostatics;
Proceedings of the Annual Meeting of the Japanese Society for Industrial and Applied Mathematics (JSIAM), pp. 218 - 219 (1996) PDF
130) K. Hayami, S. Sauter
A formulation of the panel clustering method for the three-dimensional elastostatic problem;
Proceedings of the JASCOME 13th symposium on BEM, Tokyo, 125 - 130 (1996)
131) S. Sauter
A remark on extension theorems for domains having small geometric details;
Technical report 96-03, Universität Kiel (1996) PDF
132) W. Hackbusch, S. Sauter
Adaptive Composite Finite Elements for the solution of PDEs containing non-uniformly distributed micro-scales;
Matematicheskoe modelirovanie, Vol 8(9), pp. 31 - 43 (1996) link
133) S. Sauter
Cubature techniques for 3-d Galerkin BEM;
Boundary Elements: Implementation and Analysis of Advanced Algorithms, W. Hackbusch, G. Wittum eds, NNNFM 54, Vieweg-Verlag, pp. 29 - 44 (1996) link, PDF
134) A. Krapp, S. Sauter
On the effect of numerical integration in the Galerkin boundary element method;
Numer. Math., Vol 74, pp. 337 - 360 (1996) link
135) C. Lage, S. Sauter
On the efficient computation of singular and nearly singular surface integrals arising in 3D-Galerkin BEM;
ZAMM Vol 76, pp. 273 - 275 (1996) link
136) S. Sauter, C. Schwab
Realization of hp-Galerkin BEM in 3-d;
Boundary Elements: Implementation and Analysis of Advanced Algorithms, W. Hackbusch, G. Wittum eds, NNNFM 54, Vieweg-Verlag, pp. 194 - 206 (1996) link
137) I. Babuska, F. Ihlenburg, E.T. Paik, S. Sauter
A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution;
Comp. Meth. Appl. Mech. Eng., Vol 128, pp. 325 - 359 (1995) link
138) S. Sauter
On the stability of the Incomplete Cholesky Decomposition for a Singular Perturbed Problem, where the Coefficient Matrix is not an M-Matrix;
J. Numer. Lin. Alg. Appl., Vol 2, pp. 17 - 28 (1995) link
139) W. Hackbusch, S. Sauter
On Numerical Cubatures of Nearly Singular Surface Integrals Arising in BEM Collocation;
Computing, Vol 52, pp. 139 - 159 (1994) link
140) S. Sauter
On the Efficient Implementation of the Galerkin-BEM;
ZAMM 74(6), pp. 516 - 518 (1994) link
141) W. Hackbusch, S. Sauter
On the Efficient Use of the Galerkin Method to Solve Fredholm Integral Equations;
Applications of Mathematics, Vol 38(4-5), pp. 301 - 322 (1993) link
142) S. Sauter
On the stability of the ILU method for singular perturbed finite-element problems. In Notes on Numerical Fluid Mechanics, Incomplete Decompositions (ILU), Theory, Technique and Applications. Proceedings of the 8th Kieler GAMM-Seminar 1991, Eds. W. Hackbusch;
Proceedings of the 8th Kieler GAMM-Seminar 1991, G. Wittum, pp. 139-149, Vieweg, Braunschweig, (1993)
143) S. Sauter, G. Wittum
A Multigrid Method for the Computation of Eigenmodes of Closed Water Basins;
Impact of Computing in Science and Engineering, Vol 4, pp. 124 - 152 (1992) link
144) S. Sauter
Über die effiziente Verwendung des Galerkinverfahrens zur Lösung Fredholmscher Integralgleichungen;
Phd thesis, Universität Kiel (1992) link
145) S. Sauter
Der Aufwand der Panel-Clustering-Methode für Integralgleichungen.;
Report Nr. 9115, University Kiel, (1991).
146) S. Sauter, G. Wittum
On the computation of the Eigenmodes of Lake Constance by means of a Multi-Grid method.;
GMD-Studien Nr. 189 of the 3rd European Conference on Multigrid methods, Eds. W. Hackbusch, U. Trottenberg, Bonn (1991).
147) S. Sauter
The ILU method for finite-element discretizations;
Journal of Computational and Applied Mathematics, Vol 36, pp. 91 - 106 (1991) link
148) S. Sauter
Ein Mehrgitterverfahren zur Berechnung der Eigenschwingungen von abgeschlossenen Wasserbecken;
Diploma thesis, Heidelberg, (1989) link PDF
1) F. Florian, R. Hiptmair, S. Sauter
Skeleton Integral Equations for Acoustic Transmission Problems with Varying Coefficients;
submitted (2023) arXiv:2305.00959
2) B. Grässle, N.-E. Bohne, S. Sauter
The pressure-wired Stokes element: a mesh-robust version of the Scott-Vogelius element;
submitted (2022) arXiv:2212.09673
3) J.M. Melenk, S. Sauter
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with impedance boundary conditions;
Foundations of Computational Mathematics, Online first (Nov. 2023) link, arXiv:2201.02602
4) S. Sauter
The inf-sup constant for hp-Crouzeix-Raviart triangular elements ;
Comput. Math. Appl., no. 149, pp. 49-70(2023) link, arXiv:2204.01270
5) S. Sauter, C. Torres
On the Inf-Sup Stabillity of Crouzeix-Raviart Stokes Elements in 3D;
Math Comp 92, no. 341, 1033-1059(2022) link, arXiv:2205.00062
6) C. Carstensen, S. Sauter
Crouzeix-Raviart triangular elements are inf-sup stable;
MathComp 91, pp. 2041-2057(2022) arXiv:2105.14987
7) C. Carstensen, S. Sauter
Critical Functions and Inf-Sup Stability of Crouzeix-Raviart Elements;
Computers & Mathematics with Applications, 108:12-23(2022) link, arXiv:2105.14981
8) M. Bernkopf, S. Sauter, C. Torres, A. Veit
Solvability of Discrete Helmholtz Equations;
IMA Journal of Numerical Analysis (2022) link, arXiv:2105.02273
9) M. Grote, S. Michel, S. Sauter
Stabilized leapfrog based local time-stepping method for the wave equation;
Math. Comp. 90, pp. 2603-2643(2021) link, arXiv:2005.13350
10) M. Chipot, W. Hackbusch, S. Sauter, A. Veit
Numerical approximation of Poisson problems in long domains;
Vietnam Journal of Mathematics, pp. 1-19(2021) link, arXiv:1811.02227
11) S. Börm, M. López Fernández, S. Sauter
Variable Order, Directional H^2-Matrices for Helmholtz Problems with Complex Frequency;
IMA Journal of Numerical Analysis, Vol. 41, Issue 4, pp. 2896–2935 (October 2021) link, arXiv:1903.02803
12) J.M. Melenk, S. Sauter
Wavenumber-explicit hp-FEM analysis for Maxwell's equations with transparent boundary conditions;
Foundations of Computational Mathematics, 21, pp. 125–241(2021) link, arXiv:1803.01619
13) S. Eberle, F. Florian, R. Hiptmair, S. Sauter
A Stable Boundary Integral Formulation of an Acoustic Wave Transmission Problem with Mixed Boundary Conditions;
SIAM J. Math. Anal., Vol. 53(2), pp. 1492–1508(2021) link, arXiv:1907.01738
14) S. Sauter, C. Torres
The Heterogeneous Helmholtz Problem with Spherical Symmetry: Green's Operator and Stability Estimates;
Asymptotic Analysis, Vol. 125, no. 3-4, pp. 289-325(2021) link, arXiv:2006.15866
15) J.M. Melenk, S. Sauter, C. Torres
Wavenumber Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems;
SIAM J. Numer. Anal., 58(4), 2119 - 2143(2020) link, arXiv:1904.00207
16) S. I. Repin, S. Sauter
Accuracy of Mathematical Models. Dimension Reduction, Homogenization, and Simplification;
Book, pp. 317, EMS (2020)
17) R. Gasser, J. Gedicke, S. Sauter
Benchmark computation of eigenvalues with large defect for non-selfadjoint elliptic differential operators;
SIAM J. Sci. Comput., 41(6), A3938–A3953 (2019) link, arXiv:1902.02114
18) I. G. Graham, S. Sauter
Stability and error analysis for the Helmholtz equation with variable coefficients;
Mathematics of Computation, Vol. 89(321), pp. 105–138 (2019) link, arXiv:1803.00966
19) S. Sauter, C. Torres
Stability estimate for the Helmholtz equation with rapidly jumping coefficients ;
Zeitschrift für Angewante Mathematik und Physik (ZAMP), 69:139 (2018) link, arXiv:1711.05430
20) U. Vögeli, K. Nedaiasl, S. Sauter
A Fully Discrete Galerkin Method for Abel-type Integral Equations;
Adv. Comput Math., Vol. 44(5), pp. 1601 - 1626 (2018) link, arXiv:1612.01285
21) M. Grote, M. Mehlin, S. Sauter
Convergence analysis of energy conserving explicit local time-stepping methods for the wave equation;
SIAM J. Numer. Anal., 56(2), 994 – 1021 (2018) link, arXiv:1703.07965
22) P. Ciarlet, Jr., Ch.F. Dunkl, S. Sauter
A Family of Crouzeix-Raviart Finite Elements in 3D;
Analysis and Applications, Vol 16(05), pp. 649 - 691 (2018) link, arXiv:1703.03224
23) S. Sauter, M. Schanz
Convolution Quadrature for the Wave Equation with Impedance Boundary Conditions;
Journal of Computational Physics, Vol 334, pp. 442 - 459 (2017) link , PDF
24) M. Weymuth, S. Sauter, S. I. Repin
A Posteriori Modelling-Discretization Error Estimate for Elliptic Problems with L∞-Coefficients ;
Comput. Methods Appl. Math. Vol. 17(3), pp. 515 - 531 (2017) link, arXiv:1704.01890
25) D. Pölz, S. Sauter, M. Schanz
Convolution Quadrature based BEM in acoustics for absorbing boundary conditions;
Proceedings in Applied Mathematics and Mechanics (PAMM), Vol 16 (1), pp. 23 - 26 (2016) link, PDF
26) K. Maleknejad, P. Torabi, S. Sauter
Numerical Solution of a Non-Linear Volterra Integral Equation;
Vietnam Journal of Mathematics, 44 (1), pp. 5 - 28 (2016) link, PDF
27) S. Falletta, S. Sauter
The Panel-Clustering Method for the Wave Equation in Two Spatial Dimensions;
J. of Computational Physics, 305 (C), pp. 217 - 243 (2016) link, PDF
28) M. López Fernández, S. Sauter
Generalized Convolution Quadrature based on Runge-Kutta Methods;
Numerische Mathematik, 133 (4), pp. 734 - 779 (2016) link, PDF
29) S. Sauter, A. Veit
Adaptive Time Discretization for Retarded Potentials;
Numerische Mathematik, 132(3), pp. 569 - 595 (2016) link, arXiv:1404.2322
30) P.G. Ciarlet, P. Ciarlet, Jr., S. Sauter, C. Simian
Intrinsic Finite Element Methods for theComputation of Fluxes for Poisson’s Equation;
Numerische Mathematik, 132 (3), pp. 433 - 462 (2016) link, PDF
31) S. I. Repin, T. Samrowski, S. Sauter
Estimates of the modeling error generated by homogenization of an elliptic boundary value problem;
J. Numerical Mathematics, Vol 24(1), pp. 1 - 15 (2016) link, PDF
32) S. Sauter, J. Zech
A Posteriori Error Estimation of HP-DG finite Element Methods for highly indefinite Helmholtz Problems;
SIAM, J. Numer. Anal., 53 (5), pp. 2414 - 2440 (2015) link, arXiv:1407.1430
33) R. Bank, A. Parsania, S. Sauter
Saturation Estimates for hp-Finite Element Methods;
Computing and Visualization in Science, Vol 16 (5), pp. 195 - 217 (2015) link, PDF
34) S. Sauter, T. Koornwinder
The Intersection of Bivariate Orthogonal Polynomials on Triangle Patches;
Mathematics of Computation, 84(294), pp. 1795 - 1812 (2015) link, arXiv:1307.8429
35) M. López Fernández, S. Sauter
Generalized Convolution Quadrature with Variable Time Stepping.Part II: Algorithm and Numerical Results;
Applied Numerical Mathematics, 94, pp. 88 - 105 (2015) link, PDF
36) M. López Fernández, S. Sauter
Fast and Stable Contour Integration for High Order Divided Differences via Elliptic Functions;
Math. Comp. 84, pp. 1291 - 1315 (2015) link, PDF
37) S. Falletta, S. Sauter
Functional Estimates for Derivatives of the Modified Bessel Function K_0 and related Exponential Functions;
J. Math. Anal. Appl., 417 (2), pp. 559 - 579 (2014) link, arXiv:1310.8493
38) J.M. Melenk, A. Parsania, S. Sauter
Generalized DG Methods for Highly Indefinite Helmholtz Problems Based on the Ultra-Weak Variational Formulation;
Published with new title: "General DG-Methods for Highly Indefinite Helmholtz Problems"; J Sci Comput, 57(3), pp. 536 - 581 (2013) link, PDF
39) S. I. Repin, T. Samrowski, S. Sauter
A Posteriori Error Majorants of the Modelling Errors for Elliptic Homogenization Problems;
Comptes Rendus Mathématiques, 351 (23-24), pp. 877 - 882 (2013) link, PDF
40) M. López Fernández, S. Sauter
A Generalized Convolution Quadrature with Variable Time Stepping;
IMA J. Numer. Anal., Vol 33(4), pp. 1156 - 1175 (2013) link, PDF .
41) J. Ballani, L. Banjai, S. Sauter, A. Veit
Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature;
Numer. Math., Vol 123(4), pp. 643 - 670 (2013) link, PDF
42) W. Dörfler, S. Sauter
A Posteriori Error Estimation for Highly Indefinite Helmholtz Problems;
Comp. Meth. Appl. Math., Vol 13(3), pp. 333 - 347 (2013) link, PDF
43) S. Sauter, A. Veit
Exact Solutions of Retarded Boundary Integral Equations: Implementation and Examples. Revised version with new title: A Galerkin Method for Retarded Boundary Integral Equations with Smooth and Compactly Supported Temporal Basis Functions. Part II: Implementation and Reference Solutions;
Numer. Math., Vol 123(1), pp. 145 - 176 (2013) PDF additional material
44) S. Sauter, A. Veit
A Galerkin Method for Retarded Boundary Integral Equations with Smooth and Compactly Supported Temporal Basis Functions;
Numer. Math., Vol 123(1), pp. 145 - 176 (2013) link, PDF
45) S. Sauter
A Posteriori Error Estimation for Elliptic PartialDifferential Equations.Lecture Notes of the Zürich Summerschool 2012.;
Preprint 11-2012, University of Zurich (2012) PDF
46) L. Banjai, S. Sauter
Frequency Explicit Regularity Estimates for the Electric Field Integral Operator;
Preprint 05-2012, University of Zurich (2012) PDF
47) S. I. Repin, T. Samrowski, S. Sauter
Combined a posteriori modelling-discretization error estimate for elliptic problems with variable coefficients;
ESAIM: Math. Model. Numer. Anal., Vol 46, pp. 1389 - 1405 (2012) link, PDF
48) L. Grasedyck, I. Greff, S. Sauter
The AL Basis for the solution of elliptic problems in heterogeneous media;
SIAM J. Mulatiscale Model. Simul., Vol 10(1), pp. 245 - 258 (2012) link, PDF
49) D. Peterseim, S. Sauter
Error Estimates for Finite ElementDiscretizations of Elliptic Problems withOscillatory Coefficients;
appeared with new title: Finite Elements for Elliptic Problems with Highly Varying, Nonperiodic Diffusion Matrix
SIAM, Multiscale Model. Simul. Vol 10(3), pp. 665 - 695 (2012) link, PDF
50) W. Hackbusch, B. N. Khoromskij, S. Sauter, E. E. Tyrtyshnikov
Use of Tensor Formats in Elliptic Eigenvalue Problems;
Num. Lin. Alg. Appl. Vol 19(1), pp. 133 - 151 (2012) link, PDF
51) B. N. Khoromskij, S. Sauter, A. Veit
Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation;
Computational Methods in Applied Mathematics, Vol 11(3), pp. 342 - 362 (2011) link, PDF
52) S. Sauter, C. Schwab
Boundary Element Methods;
Book, pp. 561, Springer (2011)
53) T. Preusser, M. Rumpf, S. Sauter, O. Schwen
3D composite finite elements for elliptic boundary value problems with discontinuous coefficients;
SIAM Journal on Scientific Computing, Vol 33(5), pp 2115 - 2143 (2011) link, PDF
54) J.M. Melenk, S. Sauter
Wave-Number Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation
SIAM J. Numer. Anal., Vol 49, pp. 1210 - 1243 (2011); extended version link,;
55) P.G. Ciarlet, P. Ciarlet, Jr., O. Iosifescu, S. Sauter, J. Zou
Lagrange multipliers in intrinsic elasticity;
Math. Mod. Meth. Appl. Sci. (M3AS). Vol 21(4), pp. 651-666 (2011) link
56) D. Braess, S. Sauter, C. Schwab
On the Justification of Plate Models;
Journal of Elasticity, Vol 103(1), pp. 53-71 (2011) link, PDF
57) D. Peterseim, S. Sauter
Finite element methods for the Stokes problem on complicated domains;
Comput. Methods Appl. Mech. Engrg. Vol 200(33-36), pp. 2611 - 2623 (2011) link, PDF
58) S. I. Repin, S. Sauter
Estimates of the modeling error for the Kirchhoff-Love plate model;
Comptes Rendus Mathematique, 348(17-18), 1039 - 1043 (2010) link
59) P.G. Ciarlet, P. Ciarlet, Jr., O. Iosifescu, S. Sauter, J. Zou
A Lagrangian approach to intrinsic linearized elasticity;
Comptes Rendus Mathematique, Ser. I, 348(9-10), 587 - 592 (2010) link
60) J.M. Melenk, S. Sauter
Convergence Analysis for Finite Element Discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions;
Mathematics of Computation, Vol 79(272), pp. 1871 - 1914 (2010) link, PDF
61) S. I. Repin, S. Sauter
Computable estimates of the modeling error related to Kirchhoff-Love plate model;
Analysis and Applications (AA), Vol. 8(4), pp. 409 - 428 (2010) link, PDF
62) S. Sauter
Finite Elements for Elliptic Eigenvalue Problems: Error estimates which are explicit with respect to $\lambda$, h and p;
SIAM J. Numer. Anal., Vol. 48(1), pp. 95 - 108 (2010) link, PDF
63) F. Lihr, T. Preusser, M. Rumpf, S. Sauter, O. Schwen
Composite Finite Elements for 3D Image Based Computing;
Computing and Visualization in Sciences, Vol 12(4), pp. 171 – 188 (2009) link, PDF
64) W. Hackbusch, W. Kress, S. Sauter
Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation;
IMA, J. Numer. Anal., Vol 29(1), pp. 158 - 179 (2009) link, PDF
65) S. Sauter
Finite Elements for Elliptic Eigenvalue Problems: Lecture Notes for the Zürich Summerschool 2008;
66) L. Banjai, S. Sauter
Rapid solution of the wave equation in unbounded domains;
SIAM J. Num. Anal., Vol 47(1), pp. 227 - 249 (2008) link, PDF
67) D. Peterseim, S. Sauter
The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains;
SIAM J. Num. Anal., Vol 46(6), pp. 3181 - 3206 (2008) link, PDF
68) I. Babuska, S. Sauter
Efficient Solution of Anisotropic Lattice Equations by the Recovery Method;
SIAM, J. Sci. Comput., Vol 30(5), pp. 2386 - 2404 (2008) link, PDF
69) I. G. Graham, L. Grasedyck, W. Hackbusch, S. Sauter
Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement;
SIAM J. Num. Anal., Vol 46(1), pp. 517 - 543 (2008) link, PDF
70) D. Peterseim, S. Sauter
Recent advances in Composite Finite Elements;
Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach Reports No. 23-2008, Schnelle Löser für partielle Differentialgleichungen link
71) Ch. Wüst, S. Sauter, P.I. Ward, L. F. Bussiere
The fluid dynamics of yellow dung fly sperm flow;
Preprint 16-2008, University of Zurich (2008) PDF
72) L. Banjai, S. Börm, S. Sauter
FEM for Elliptic Eigenvalue Problems: How Coarse Can the Coarsest Mesh be Chosen? An Experimental Study.;
Computing and Visualization in Sciences, Vol 11(4-6), pp. 363 - 372 (2008) link, PDF
73) W. Kress, S. Sauter
Numerical treatment of Retarded BoundaryIntegral Equations by Sparse Panel Clustering;
IMA J. Numer Anal., Vol 28, pp. 162 - 185 (2008) link, PDF
74) W. Hackbusch, W. Kress, S. Sauter
Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation by Cutoff and Panel-Clustering;
In: M. Schanz, O. Steinbach (Eds.): Boundary Element Analysis, Springer, pp. 113 - 134 (2007) link, PDF
75) L. Banjai, S. Sauter
A refined Galerkin error and stability analysis for highly indefinite variational problems;
SIAM J. on Num. Anal., Vol 45(1), pp. 37 - 53 (2007) link, PDF
76) S. I. Repin, S. Sauter, A. Smolianski
Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems;
SIAM J. Num. Anal., Vol 45(3), pp. 928 - 945 (2007) link, PDF
77) W. Hackbusch, B. N. Khoromskij, S. Sauter
Adaptive Galerkin Boundary Element Methods with Panel Clustering;
Numer. Math., Vol 105(4), pp. 603 - 631 (2007) link, PDF
78) D. Peterseim, S. Sauter
The Composite Mini Element - A new mixed FEM for the Stokes equations on complicated domains;
Proceedings of the 6th International Congress on Industrial and Applied Mathematics, Vol 7(1), (2007) link
79) S. Sauter
A Refined Finite Element Convergence Theory for Highly Indefinite Helmholtz Problems;
Computing, Vol 78(2), 101 - 1115 (2006) link, PDF
80) W. Hackbusch, M. Löhndorf, S. Sauter
Coarsening of Finite Element and Boundary Element Spaces;
Computing, Vol 77(3), 253 - 273 (2006) link, PDF
81) S. Nicaise, S. Sauter
Efficient Numerical Solution of Neumann Problems on Complicated Domains;
Calcolo, Vol 43(2), 95 - 120 (2006) link, PDF
82) S. I. Repin, S. Sauter
Functional A Posteriori Estimates for theReaction-Diffusion Problem;
Comptes rendus Mathematique, Vol 343(5), 349 - 355 (2006) link
83) S. Sauter, R. Warnke
Composite Finite Elements for Elliptic Boundary Value Problems with Discontinuous Coefficients;
Computing, Vol 77(1), pp. 29 - 55 (2006) link, PDF
84) A. Buffa, S. Sauter
On the acoustic single layer potential: Stabilisation and Fourier analysis;
SIAM, J. Sci. Comput., Vol 28(5), pp. 1974 - 1999 (2006) link, PDF
85) M. Rech, S. Sauter, A. Smolianski
Two-Scale Composite Finite Element Method for the Dirichlet Problem on Complicated Domains;
Numer. Math., Vol 102(4), pp. 681 - 708 (2006) link, PDF (revised version, July 2005)
86) S. Börm, N. Krzebek, S. Sauter
May the singular integrals in BEM be replaced by Zero?;
Comp. Meth. in Appl. Mech. Eng., 194(2-5), pp. 383 - 393 (2005) link, PDF
87) S. Börm, S. Sauter
Classical BEM with linear complexity;
Mathematics of Computation, Vol 74, pp. 1139 - 1177 (2005) link, PDF
88) I. G. Graham, W. Hackbusch, S. Sauter
Finite elements on degenerate meshes: inverse-type inequalities and applications.;
IMA, J. Numer. Anal., Vol 25(2), pp. 379 - 407 (2005) link, PDF
89) S. Sauter, C. Schwab
Randelementmethoden;
Book, pp. 382, Teubner (2004)
90) T. Preusser, H.-O. Peitgen, F. Liehr, M. Rumpf, U. Weikard, S. Sauter
Simulation of radio-frequency ablation using composite finite element methods;
In: Perspective in Image Guided Surgery, Proceedings of the Scientific Workshop on Medical Robotics, Navigation and Visualization. Remangen: World Scientific, pp. 303 - 310 (2004) link
91) I. Babuska, S. Sauter
Algebraic Algorithms for the Analysis of Mechanical Trusses;
Mathematics of Computation, Vol 73, pp. 1601 - 1622 (2004) link, PDF
92) W. Dahmen, B. Faermann, I. G. Graham, W. Hackbusch, S. Sauter
Inverse Inequalities on Non-Quasiuniform Mehses and Applications to the Mortar Element Method;
Mathematics of Computation, 73, 1107 - 1138 (2004) link, PDF
93) S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Error Estimation for the Poisson Equation with Mixed Dirichlet/Neumann Boundary Conditions;
JCAM, Vol 164 - 165, 601 - 612 (2004) link, PDF
94) S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Estimation of Dimension Reduction Errors;
Proceedings von ENUMATH 2003 Conference, (eds. M. Feistauer, V. Dolejsi, P. Knobloch, K. Najzar), Springer, Berlin, pp. 716 - 725 (2004) link, PDF
95) I. Babuska, S. Sauter
Efficient Solution of Lattice Equations by the Recovery Method. Part 1: Scalar Elliptic Problems;
Comp. Vis. Sci.,Vol 7(3-4), pp. 113 - 119 (2004) link, PDF
96) S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Estimation of Dimension Reduction Errors for Elliptic Problems on Thin Domains;
SIAM J. Numer. Anal., Vol 42(4), pp. 1435 - 1451 (2004) link, PDF
97) C. Carstensen, S. Sauter
A posteriori error analysis for elliptic PDEs on domains with complicated structures;
Numer. Math., Vol 96(4), pp. 691 - 721 (2004) link, PDF
98) S. I. Repin, S. Sauter, A. Smolianski
A Posteriori Error Estimation for the Dirichlet Problem with Account of the Error in the Approximation of Boundary Conditions;
Computing, Vol 70(3), pp. 205 - 233 (2003) link, PDF
99) D. Feuchter, I. Heppner, S. Sauter, G. Wittum
Bridging the gap between geometric and algebraic multi-grid methods;
Computing and Visualization in Science, Vol 6(1), pp. 1 - 13 (2003) link, PDF
100) N. Krzebek, S. Sauter
Fast Cluster Techniques for BEM;
Eng. Analysis with Boundary Elem., Vol 27(5), pp. 455 - 467 (2003) link, PDF (revised version)
101) S. Sauter
Composite Finite Elements and Multigrid ;
Lecture Notes of the Zürich Summerschool 02, Preprint Nr. 22-2002 (2002), Universität Zürich PDF
102) N. Frauböse, S. Sauter
Composite Finite Elements and Multi-Grid. Part I: Convergence Theory in 1-d;
Proceedings of the 17th GAMM-Seminar Leipzig on Construction of Grid Generation Algorithms, MPI Leipzig, pp. 69 - 86 (2001) link, PDF
103) S. Sauter, C. Lage
Transformation of hypersingular integrals and black-box cubature;
Mathematics of Computation, Vol 70, pp. 223 - 250 (2001) link, PDF
104) I. G. Graham, W. Hackbusch, S. Sauter
Hybrid Galerkin Boundary Elements: Theory and Implementation;
Numer. Math. Vol 86(1), pp. 139 - 172 (2000) link
105) I. G. Graham, W. Hackbusch, S. Sauter
Discrete Boundary Element Methods on General Meshes in 3D;
Numer. Math., Vol 86(1), pp. 103 - 137 (2000) link
106) I. G. Graham, W. Hackbusch, S. Sauter
Hybrid Galerkin boundary elements on degenerate meshes;
In "Mathematical Aspects of Boundary Element Methods" Eds. M. Bonnet, A.M. Saendig, W.L. Wendland. Eds, pp. 140 - 151, CRC Press (2000) link
107) W. Hackbusch, B. N. Khoromskij, S. Sauter
On H^2 matrices;
In: "Lectures on Applied Mathematics", Eds. H.-J. Bungartz, R.H.W. Hoppe, C. Zenger, Springer-Verlag, Heidelberg pp. 9 - 30 (2000) link, PDF
108) S. Sauter
Variable order panel clustering;
Computing, Vol 64(3), pp. 223 - 261 (2000) link, PDF
109) K. Hayami, S. Sauter
A panel clustering method for 3-d elastostatics using spherical harmonics;
In: "Integral methods in science and engineering", Eds. B. Bertram, C. Constanda and A. Struthers, Chapman & Hall/CRC, London, pp. 179-184 (2000) link
110) I. Babuska, S. Sauter
Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers;
SIAM, J. Numer. Anal. Vol 34 (1997), 2392 - 2423, Revised and reprinted in: SIAM Reviews, Vol 42(3), pp. 451 - 484 (2000) link
111) M. Gnewuch, S. Sauter
Boundary integral equation for second order elliptic boundary value problems;
Preprint Nr. 55/1999, Max-Planck-Institut für Mathematik, Leipzig (1999) link, PDF
112) I. G. Graham, R.A. Horrocks, S. Sauter
Enriched Hybrid Galerkin BEM;
Proceedings of 2nd UK Conference on Boundary Integral Methods, Brunel University Press, (L. Wrobel, S.N. Chandler-Wilde, Eds.), pp. 177-188 (1999)
113) S. Sauter, R. Warnke
Extension operators and approximation on domains containing small geometric details;
East-West J. Numer. Math., Vol 7(1), pp. 61 - 77 (1999) link, PDF
114) I. G. Graham, W. Hackbusch, S. Sauter
Fast integration techniques in 3D boundary elements.;
In Domain Decomposition Methods in Science and Engineering (Eds., P.E. Bjoerstad, M. Cross, C.-H. Lai, O. Widland), Domain Decomposition Press, Bergen, pp. 37 - 48 (1999) link, PDF
115) W. Hackbusch, S. Sauter
A new finite element approach for problems containing small geometric details;
Arch. Math., Vol 34(1), pp. 105 - 117 (1998) link, PDF
116) K. Hayami, S. Sauter
Cost estimation of the panel clustering method applied to 3-D elastostatcs;
in C.A. Brebbia ed., Proceedings of the Second European Boundary Element Symposium, Southampton, May, 1998, Computational Mechanics Publication, U.K., pp. 33 - 42 (1998) link
117) S. Erichsen, S. Sauter
Efficient automatic quadrature in 3-d Galerkin BEM;
Computer Methods in Applied Mechanics and Engineering 157, Elsevier, pp. 215 - 224 (1998) link
118) K. Hayami, S. Sauter
Panel Clustering for 3-d Elastostatics using spherical harmonics;
In: A. Kassab, C.A. Brebbia and M. Chopra eds., Boundary Elements XX, Proc. 20th Int. Conf. on the Boundary Element Method, Orlando, Computational Mechanics Publications, pp. 289 - 298 (1998) link
119) S. Sauter
The Panel Clustering Method in 3-d BEM;
Wave Propagation in Complex Media (G. Papanicolaou ed.), Springer, IMA-Volumes in Mathematics and its Applications 96, pp. 199 - 224 (1998) link, PDF
120) K. Hayami, S. Sauter
Application of the panel clustering method to the three-dimensional elastostatic problem;
Boundary Elements XIX, Proceedings of the 19th International Conference on the Boundary Element Method, Rome, 1997, Computational Mechanics Publications, (M. Marchetti, C.A. Brebbia and M.H.Aliabadi, eds.), pp. 625 - 634 (1997) link
121) S. Sauter
Composite Finite Elements for problems with complicated boundary. Part III: Essential Boundary Conditions;
Technical-Report 97-16, Universität Kiel (1997) PDF
122) W. Hackbusch, S. Sauter
Composite Finite Elements for the approximation of PDEs on domains with complicated micro-structures;
Numer. Math., Vol 75(4), pp. 447 - 472 (1997) link, PDF
123) W. Hackbusch, S. Sauter
Composite finite elements for problems containing small geometric details. Part II: Implementation and numerical results;
Computing and Visualization in Science, Vol 1, pp. 15 - 25 (1997) link, PDF
124) W. Hackbusch, C. Lage, S. Sauter
On the efficient realization of sparse matrix techniques for integral equations with focus on panel clustering, cubature and software design aspects;
Boundary Element Topics, Springer, (eds. W.L. Wendland), pp. 51 - 76 (1997) link, PDF
125) S. Sauter, C. Schwab
Quadrature for hp-Galerkin BEM in R^3;
Numer. Math., Vol 78, pp. 211 - 258 (1997) link, PDF
126) I. Babuska, F. Ihlenburg, S. Sauter
Reliability of finite element methods for the numerical computation of waves;
Advances in Engineering Software, Vol 28, pp. 417 - 424 (1997) link, PDF
127) I. G. Graham, W. Hackbusch, S. Sauter
The hybrid Galerkin boundary element method;
Proceedings of the First UK Conference on Boundary Integral Methods, (L. Elliot, D.B. Ingham, D. Lesnic, eds.), Leeds University Press, pp. 98 - 107 (1997)
128) S. Sauter
Vergröberung von Finite-Elemente-Räumen;
Habilitationsschrift, Universität Kiel (1997) PDF
129) K. Hayami, S. Sauter
A formulation of the Panel-Clustering Method for three-dimensional elastostatics;
Proceedings of the Annual Meeting of the Japanese Society for Industrial and Applied Mathematics (JSIAM), pp. 218 - 219 (1996) PDF
130) K. Hayami, S. Sauter
A formulation of the panel clustering method for the three-dimensional elastostatic problem;
Proceedings of the JASCOME 13th symposium on BEM, Tokyo, 125 - 130 (1996)
131) S. Sauter
A remark on extension theorems for domains having small geometric details;
Technical report 96-03, Universität Kiel (1996) PDF
132) W. Hackbusch, S. Sauter
Adaptive Composite Finite Elements for the solution of PDEs containing non-uniformly distributed micro-scales;
Matematicheskoe modelirovanie, Vol 8(9), pp. 31 - 43 (1996) link
133) S. Sauter
Cubature techniques for 3-d Galerkin BEM;
Boundary Elements: Implementation and Analysis of Advanced Algorithms, W. Hackbusch, G. Wittum eds, NNNFM 54, Vieweg-Verlag, pp. 29 - 44 (1996) link, PDF
134) A. Krapp, S. Sauter
On the effect of numerical integration in the Galerkin boundary element method;
Numer. Math., Vol 74, pp. 337 - 360 (1996) link
135) C. Lage, S. Sauter
On the efficient computation of singular and nearly singular surface integrals arising in 3D-Galerkin BEM;
ZAMM Vol 76, pp. 273 - 275 (1996) link
136) S. Sauter, C. Schwab
Realization of hp-Galerkin BEM in 3-d;
Boundary Elements: Implementation and Analysis of Advanced Algorithms, W. Hackbusch, G. Wittum eds, NNNFM 54, Vieweg-Verlag, pp. 194 - 206 (1996) link
137) I. Babuska, F. Ihlenburg, E.T. Paik, S. Sauter
A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution;
Comp. Meth. Appl. Mech. Eng., Vol 128, pp. 325 - 359 (1995) link
138) S. Sauter
On the stability of the Incomplete Cholesky Decomposition for a Singular Perturbed Problem, where the Coefficient Matrix is not an M-Matrix;
J. Numer. Lin. Alg. Appl., Vol 2, pp. 17 - 28 (1995) link
139) W. Hackbusch, S. Sauter
On Numerical Cubatures of Nearly Singular Surface Integrals Arising in BEM Collocation;
Computing, Vol 52, pp. 139 - 159 (1994) link
140) S. Sauter
On the Efficient Implementation of the Galerkin-BEM;
ZAMM 74(6), pp. 516 - 518 (1994) link
141) W. Hackbusch, S. Sauter
On the Efficient Use of the Galerkin Method to Solve Fredholm Integral Equations;
Applications of Mathematics, Vol 38(4-5), pp. 301 - 322 (1993) link
142) S. Sauter
On the stability of the ILU method for singular perturbed finite-element problems. In Notes on Numerical Fluid Mechanics, Incomplete Decompositions (ILU), Theory, Technique and Applications. Proceedings of the 8th Kieler GAMM-Seminar 1991, Eds. W. Hackbusch;
Proceedings of the 8th Kieler GAMM-Seminar 1991, G. Wittum, pp. 139-149, Vieweg, Braunschweig, (1993)
143) S. Sauter, G. Wittum
A Multigrid Method for the Computation of Eigenmodes of Closed Water Basins;
Impact of Computing in Science and Engineering, Vol 4, pp. 124 - 152 (1992) link
144) S. Sauter
Über die effiziente Verwendung des Galerkinverfahrens zur Lösung Fredholmscher Integralgleichungen;
Phd thesis, Universität Kiel (1992) link
145) S. Sauter
Der Aufwand der Panel-Clustering-Methode für Integralgleichungen.;
Report Nr. 9115, University Kiel, (1991).
146) S. Sauter, G. Wittum
On the computation of the Eigenmodes of Lake Constance by means of a Multi-Grid method.;
GMD-Studien Nr. 189 of the 3rd European Conference on Multigrid methods, Eds. W. Hackbusch, U. Trottenberg, Bonn (1991).
147) S. Sauter
The ILU method for finite-element discretizations;
Journal of Computational and Applied Mathematics, Vol 36, pp. 91 - 106 (1991) link
148) S. Sauter
Ein Mehrgitterverfahren zur Berechnung der Eigenschwingungen von abgeschlossenen Wasserbecken;
Diploma thesis, Heidelberg, (1989) link PDF
