Wavelet-based preconditioners for boundary integral equations

DOI10.1023/A:1018993624466zbMath0921.65074MaRDI QIDQ1284744

K. Appert

Publication date: 31 May 1999

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodcondition numberboundary integral equationspreconditioned conjugate gradient methodadditive Schwarz methodprewaveletshierarchical basishypersingular and weakly singular kernels

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Numerical computation of matrix norms, conditioning, scaling (65F35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations ⋮ A multiresolution collocation method and its convergence for Burgers' type equations ⋮ Stable multilevel splittings of boundary edge element spaces ⋮ Overlapping additive Schwarz preconditioners for boundary element methods ⋮ On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion

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