Multigrid Preconditioning for the Biharmonic Dirichlet Problem

DOI10.1137/0730009zbMath0772.65076OpenAlexW2003764670MaRDI QIDQ4032015

M. R. Hanisch

Publication date: 4 May 1993

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fc688a87aeaeae3e4c86d86a83e27d867f3d375a

zbMATH Keywords

numerical exampleerror estimatespreconditioningmixed finite element methodmultigrid algorithmsCiarlet-Raviart methodbiharmonic Dirichlet problem\(W\)-cycle multigrid iteration

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) 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) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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