Domain decomposition preconditioning for \(p\)-version finite elements with high aspect ratios

DOI10.1016/0168-9274(91)90077-DzbMath0739.65094OpenAlexW2005019548MaRDI QIDQ1181541

Jan Mandel, G. Scott Lett

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90077-d

zbMATH Keywords

domain decompositioncondition numberaspect ratiopolynomial extensiontrace inequality\(p\)-version finite element method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

An iterative solver for \(p\)-version finite elements in three dimensions, An algebraic multigrid method for higher-order finite element discretizations, Iterative methods for \(p\)-version finite elements: Preconditioning thin solids, A numerical study on Neumann-Neumann and FETI methods for \(hp\) approximations on geometrically refined boundary layer meshes in two dimensions., Iterative solvers by substructuring for the \(p\)-version finite element method, An \(\mathcal{O}(p^3)\) \(hp\)-version FEM in two dimensions: preconditioning and post-processing, Error estimates and adaptive finite element methods, Hybrid multigrid/Schwarz algorithms for the spectral element method, Multiscale domain decomposition methods for elliptic problems with high aspect ratios

Cites Work

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