The BPX preconditioner for the single layer potential operator

DOI10.1080/00036819708840615zbMath0892.65071OpenAlexW2036810362WikidataQ58151554 ScholiaQ58151554MaRDI QIDQ4385744

Stefan A. Funken, Ernst Peter Stephan

Publication date: 9 August 1998

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840615

zbMATH Keywords

boundary element methodspseudodifferential operatorSymm's integral equationsingle layer potential operatorBPX preconditionerfirst kind integral equationsefficient preconditionersBPX algorithm

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary value problems for PDEs with pseudodifferential operators (35S15) 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 (7)

Fast multipole boundary element method for electrostatic field computations ⋮ Convergence analysis of a multigrid algorithm for the acoustic single layer equation ⋮ A new first kind boundary integral formulation for the Dirichlet-to-Neumann map in 2D ⋮ An efficient algebraic multigrid preconditioner for a fast multipole boundary element method ⋮ Fast solvers with block-diagonal preconditioners for linear FEM-BEM coupling ⋮ Multilevel norms for \(H^{-1/2}\) ⋮ Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement

Cites Work

• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• A posterior error estimates for hp—boundary element methods

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