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W. Hackbusch: Integral equations, Birkhaeuser Verlag, 1995. (Textbook on integral equations treating both theoretical and numerical aspects, Chap. 1, 3.5, 4.3-4.5, 8, 9)
W. McLean: Strongly elliptic systems and boundary integral equations, Cambridge, University Press, 2000. (Theory of boundary integral equations and prerequisites in functional analysis. Chap 3, and possibly 6,7)
R. Dautray and J.-L. Lions: Mathematical Analysis and Numerical Methods for Science and Technology. Vol. 4, Chap. XI, pp. 114-159. (Introduction to boundary integral equations and Galerkin boundary element methods)
M. Bonnet: Boundary Integral Equation Methods for Solids and Fluids. Wiley, 1995. (Includes are broad range of application areas)
G. Chen and J. Zhou: Boundary Element Methods. Academic Press, 1992. (Covers most areas of boundary integral equations and classical discretization methods)
K. Atkinson: The numerical solution of integral equations of the second kind. Cambridge, University Press, 1997. (Focus on integral equations of the 2nd kind and collocation methods)
M. Costabel: Boundary integral operators on Lipschitz domains. Elementary results. SIAM, J. Math. Anal.19, pp. 613-626, 1988. (Original paper containing the mapping properties of classical integral operators and regularity results.)
T.v. Petersdorff, C. Schwab: Fully Discrete Multiscale Galerkin BEM. Download: ap.ps.gz
S. Sauter: Variable order Panel Clustering. Download: Abstract / Preprint
S. Erichsen und S. Sauter: Efficient automatic quadrature in 3-d Galerkin BEM . Download: arbkern.ps
W. Hackbusch: A Sparse Matrix Arithmetic Based on H-Matrices. Part I: Introduction to H-Matrices. Erschienen in: Computing Vol 62 (1999), 89-108. |