An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems

DOI10.1163/1569395042571265zbMath1069.65132OpenAlexW4253673600MaRDI QIDQ4659958

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Publication date: 21 March 2005

Full work available at URL: http://www.repo.uni-hannover.de/handle/123456789/3133

linear elasticity preconditioning condition number Laplace equation additive Schwarz method Galerkin boundary element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

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A parallel scalable domain decomposition preconditioner for elastic crack simulation using XFEM ⋮ A domain decomposition method for solving the hypersingular integral equation on the sphere with spherical splines ⋮ Remarks on Sobolev norms of fractional orders ⋮ Stable multilevel splittings of boundary edge element spaces ⋮ An overlapping additive Schwarz preconditioner for the Laplace-Beltrami equation using spherical splines ⋮ Preconditioners for pseudodifferential equations on the sphere with radial basis functions ⋮ Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere

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