Multilevel preconditioners for discretizations of the biharmonic equation by rectangular finite elements

DOI10.1002/nla.1680020603zbMath0855.65046OpenAlexW2163008446MaRDI QIDQ4868104

Peter Oswald

Publication date: 11 February 1997

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1680020603

zbMATH Keywords

iterative methodscondition numbersmultilevel preconditionersBogner-Fox-Schmit rectangleAdini elementsadditive Schwarz schemeselliptic finite element discretizationsfourth-order biharmonic problem

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for higher-order elliptic equations (35J40) 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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Cites Work

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