scientific article; zbMATH DE number 1123843

DOI<47::AID-NUM3>3.0.CO;2-L 10.1002/(SICI)1098-2426(199801)14:1<47::AID-NUM3>3.0.CO;2-LzbMath0896.65078MaRDI QIDQ4378196

Norbert Heuer, Ernst Peter Stephan

Publication date: 12 October 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite element methodnumerical examplespreconditioning\(p\)-versionboundary elementsinterface problemadditive Schwarz methodsgeneralized minimum residual methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)

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Cites Work

• Coupling of finite elements and boundary elements for some nonlinear interface problems
• The coupling of boundary element and finite element methods for a nonlinear exterior boundary value problem
• A direct boundary integral equation method for transmission problems
• Additive Schwarz algorithms for the \(p\) version of the Galerkin boundary element method
• On the \(h\)-\(p\) version of the boundary element method for Symm's integral equation on polygons
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• Two-level domain decomposition preconditioning for thep-version finite element method in three dimensions
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The $h-p$ version of the finite element method with quasiuniform meshes
• Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions
• The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes
• Timely Communication: Diagonal Edge Preconditioners in p-version and Spectral Element Methods
• Coupling of FEM and BEM for a nonlinear interface problem: The h–p version
• The<scp>h</scp>-<scp>p</scp>Version of the Voundary Element Method for Transmission Problems with Piecewise Analytic Data
• A Polylogarithmic Bound for an Iterative Substructuring Method for Spectral Elements in Three Dimensions
• Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem