Multilevel Iteration for Mixed Finite Element Systems with Penalty

DOI10.1137/0914065zbMath0809.65114OpenAlexW2041207393MaRDI QIDQ4271096

Joseph E. Pasciak, Charles I. Goldstein, Zhi-qiang Cai

Publication date: 9 January 1994

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

Full work available at URL: https://doi.org/10.1137/0914065

zbMATH Keywords

performancenumerical resultscondition numberiterative methodsmultigrid methodmultilevel algorithmselliptic problempenalty parameterRaviart-Thomas approximation

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Complexity and performance of numerical algorithms (65Y20)

Related Items (14)

Multilevel iterative methods for mixed finite element discretizations of elliptic problems ⋮ Preconditioning discretizations of systems of partial differential equations ⋮ Quadratic finite elements and incompressible viscous flows ⋮ Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods ⋮ Multilevel preconditioned augmented Lagrangian techniques for \(2\)nd order mixed problems ⋮ Domain embedding preconditioners for mixed systems ⋮ Unnamed Item ⋮ ROBUST SUBSPACE CORRECTION METHODS FOR NEARLY SINGULAR SYSTEMS ⋮ Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations ⋮ Mixed moving finite element method ⋮ Unnamed Item ⋮ $H( {div})$ preconditioning for a mixed finite element formulation of the diffusion problem with random data ⋮ A domain embedding preconditioner for the Lagrange multiplier system ⋮ A general mixed covolume framework for constructing conservative schemes for elliptic problems

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