Schwarz methods with local refinement for the \(p\)-version finite element method

DOI10.1007/s002110050087zbMath0818.65111OpenAlexW2076517626MaRDI QIDQ1347057

Luca F. Pavarino

Publication date: 15 August 1995

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050087

zbMATH Keywords

numerical experimentsSchwarz methodsparallel computationerror boundlocal refinement\(p\)-version finite element method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05)

Related Items (9)

Anhp-adaptive refinement strategy for hypersingular operators on surfaces ⋮ Spectral Element Methods for Eigenvalue Problems Based on Domain Decomposition ⋮ Solver Composition Across the PDE/Linear Algebra Barrier ⋮ A class of domain decomposition preconditioners for \(hp\)-discontinuous Galerkin finite element methods ⋮ Error estimates and adaptive finite element methods ⋮ Preconditioning of the \(p\)-version of the finite element method ⋮ An improved multigrid solver for the \(p\)-hierarchical basis finite element method using a space decomposition smoother ⋮ Additive schwarz methods for indefinite hypersingular integral equations in R³- the p-version ⋮ Continuous analysis of the additive Schwarz method: A stable decomposition inH¹with explicit constants

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