Additive Schwarz algorithms for solving \(hp\)-version finite element systems on triangular meshes

DOI10.1016/S0168-9274(02)00104-6zbMath1018.65126MaRDI QIDQ1861993

Yanyan Li

Publication date: 10 March 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite elementsdomain decompositionpreconditioningcondition numbershp-versioninterface problemsadditive Schwarz algorithms

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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)

Related Items (1)

A numerical study on Neumann-Neumann methods forhpapproximations on geometrically refined boundary layer meshes II. Three-dimensional problems

Cites Work

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• Parallel Domain Decomposition Solver for Adaptive hp Finite Element Methods
• Quasi-Optimal Schwarz Methods for the Conforming Spectral Element Discretization
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Equivalent Norms for Sobolev Spaces

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