Additive Schwarz algorithms for the \(p\) version of the Galerkin boundary element method

DOI10.1007/s002110000125zbMath0953.65085OpenAlexW2071196586MaRDI QIDQ1572935

N. Delaunay

Publication date: 10 January 2001

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110000125

zbMATH Keywords

numerical examplescondition numberhypersingular integral equationsadditive Schwarz operatorGalerkin boundary element methodnon-overlappingnon-overlapping methodsoverlapping methodsweakly singular integral equations of the first kind

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (10)

Unnamed Item ⋮ Additive Schwarz Methods for the hp Version of the Boundary Element Method in ℝ3 ⋮ Remarks on Sobolev norms of fractional orders ⋮ Stable multilevel splittings of boundary edge element spaces ⋮ Additive Schwarz preconditioners for theh-pversion boundary-element approximation to the hypersingular operator in three dimensions ⋮ Overlapping additive Schwarz preconditioners for boundary element methods ⋮ Preconditioners for pseudodifferential equations on the sphere with radial basis functions ⋮ Multiplicative Schwarz algorithms for the \(p\)-version Galerkin boundary element method in 3D ⋮ An improved multigrid solver for the \(p\)-hierarchical basis finite element method using a space decomposition smoother ⋮ Multilevel methods for the \(h\)-, \(p\)-, and \(hp\)-versions of the boundary element method

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