Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners

DOI10.1137/040621247zbMath1125.65111OpenAlexW1982519991MaRDI QIDQ5757400

William McLean, Ivan G. Graham

Publication date: 6 September 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/57f80669b67d61622b8ac2a583200484298a8c8d

zbMATH Keywords

boundary integral equationsGalerkin approximationspectral boundsanisotropic refinementdiagonal scalingsymmetric elliptic problemscondition number estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38)

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