Iterative solution of isoparametric spectral element equations by low- order finite element preconditioning

DOI10.1016/0377-0427(87)90136-1zbMath0639.65062OpenAlexW1999463927MaRDI QIDQ1099939

Anthony T. Patera, Ernest Mund, Michel O. Deville

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90136-1

zbMATH Keywords

preconditioningfinite elementHelmholtz equationPoisson equationisoparametric spectral element discretization

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Iterative solvers by substructuring for the \(p\)-version finite element method

Cites Work

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• An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
• Chebyshev pseudospectral solution of second-order elliptic equations with finite element preconditioning
• Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains
• Spectral methods for problems in complex geometries
• A Legendre spectral element method for the Stefan problem
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows

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