Additive Schwarz Methods for the hp Version of the Boundary Element Method in ℝ3

DOI10.1007/978-3-642-25670-7_3zbMath1248.65126OpenAlexW40862078MaRDI QIDQ2902582

Florian Leydecker, Ernst Peter Stephan

Publication date: 21 August 2012

Published in: Fast Boundary Element Methods in Engineering and Industrial Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-25670-7_3

zbMATH Keywords

numerical examples Laplace equation preconditioners Galerkin boundary element method weakly singular first kind integral equation additive Schwarz methods hypersingular

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Preconditioners for iterative methods (65F08)

Cites Work

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An extension theorem for polynomials on triangles
Boundary integral equations for screen problems in ${\mathbb{R}}^ 3$
Two-level methods for the single layer potential in $\mathbb{R}^3$
Additive Schwarz algorithms for the $p$ version of the Galerkin boundary element method
Multiplicative Schwarz Algorithms for the Galerkin Boundary Element Method
An additive Schwarz method for the h-p version of the boundary element method for hypersingular integral equations in R3
Polynomial Liftings on a Tetrahedron and Applications to the h-p Version of the Finite Element Method in Three Dimensions
An iterative substructuring method for the hp‐version of the BEM on quasi‐uniform triangular meshes
Iterative Substructuring for Hypersingular Integral Equations in $\Bbb R^3$
Additive schwarz methods for the H-version boundary element method
Domain decomposition methods for boundary integral equations of the first kind: numerical results
Multilevel additive Schwarz method for the ℎ-𝑝 version of the Galerkin boundary element method
Domain Decomposition Algorithms for Indefinite Hypersingular Integral Equations: The h and p Versions
A Polylogarithmic Bound for an Iterative Substructuring Method for Spectral Elements in Three Dimensions
Additive Schwarz method for the $p$-version of the boundary element method for the single layer potential operator on a plane screen
Two-level additive Schwarz preconditioners for the $h$-$p$ version of the Galerkin boundary element method for 2-$D$ problems

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