Multilevel methods for the \(h\)-, \(p\)-, and \(hp\)-versions of the boundary element method
From MaRDI portal
Publication:1841976
DOI10.1016/S0377-0427(00)00487-8zbMath0971.65112MaRDI QIDQ1841976
Publication date: 26 October 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
numerical resultsboundary element methodSchwarz methodspreconditioningcondition numberhypersingular integral equationmultilevel methods\(hp\)-versionscreen problemsnon-overlapping decomposition
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
Adaptive Galerkin boundary element methods with panel clustering, A wirebasket preconditioner for the mortar boundary element method, Fully discrete wavelet Galerkin schemes., An efficient algebraic multigrid preconditioner for a fast multipole boundary element method, Stable multilevel splittings of boundary edge element spaces, The optimal rate of convergence of the \(p\)-version of the boundary element method in two dimensions, A multilevel additive Schwarz method for a hypersingular integral equation on an open curve with graded meshes
Cites Work
- Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature
- The h-p version of the finite element method. I. The basic approximation results
- Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\)
- An iterative substructuring method for the \(p\)-version of the boundary element method for hypersingular integral operators in three dimensions
- Adaptive multilevel BEM for acoustic scattering
- Multilevel norms for \(H^{-1/2}\)
- Efficient algorithms for the \(p\)-version of the boundary element method
- The \(h\)-\(p\) boundary element method for solving 2- and 3-dimensional problems
- 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
- Schwarz iterations for the efficient solution of screen problems with boundary elements
- The \(hp\)-version of the boundary element method for Helmholtz screen problems
- Exponential convergence of the \(hp\)-version for the boundary element method on open surfaces
- The \(hp\)-version of the boundary element method on polygons
- Multiplicative Schwarz Algorithms for the Galerkin Boundary Element Method
- Regularity of mixed boundary value problems in ℝ3 and boundary element methods on graded meshes
- On the exponential convergence of theh-p version for boundary element Galerkin methods on polygons
- Exponential convergence of the h–p version BEM for mixed boundary value problems on polyhedrons
- The Construction of Preconditioners for Elliptic Problems by Substructuring. II
- Decompositions in Edge and Corner Singularities for the Solution of the Dirichlet Problem of the Laplacian in a Polyhedron
- Iterative Substructuring for Hypersingular Integral Equations in $\Bbb R^3$
- Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
- Additive schwarz methods for the H-version boundary element method
- Hierarchical basis preconditioners for first kind integral equations
- Multilevel additive Schwarz method for the ℎ-𝑝 version of the Galerkin boundary element method
- Boundary Integral Operators in Countably Normed Spaces
- An Additive Schwarz Method for the h-p Version of the Finite Element Method in Three Dimensions
- Domain Decomposition Algorithms for Indefinite Hypersingular Integral Equations: The h and p Versions
- Additive schwarz methods for indefinite hypersingular integral equations in R3- the p-version
- A Posteriori Error Estimates for Boundary Element Methods
- The<scp>h</scp>-<scp>p</scp>Version of the Voundary Element Method for Transmission Problems with Piecewise Analytic Data
- Domain decomposition algorithms for indefinite weakly singular integral equations: the h and p versions
- Adaptive Boundary Element Mevthods for Some First Kind Integral Equations
- Preconditioning the Poincaré-Steklov operator by using Green's function
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
