Preconditioning on Element Interfaces for the p-Version Finite Element Method and Spectral Element Method

DOI10.1137/S1064827596306951zbMath0945.65134OpenAlexW2074304065MaRDI QIDQ4702395

Weiming Cao, Ben Qi Guo

Publication date: 24 November 1999

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827596306951

zbMATH Keywords

numerical examplesdomain decompositionpreconditioningcondition numberPoisson equation\(p\)-version finite element methods

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) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Domain decomposition method for the \(h\)-\(p\) version finite element method ⋮ Error estimates and adaptive finite element methods ⋮ Chebyshev‐Legendre spectral method for solving the two‐dimensional vorticity equations with homogeneous Dirichlet conditions ⋮ A preconditioner with inexact element face solver for three dimensional \(p\)-version finite element methods

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