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A Preconditioned Iterative Method for the Solution of the Biharmonic Problem

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Publication:3340087
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DOI10.1093/imanum/4.1.55zbMath0548.65083OpenAlexW2007733660MaRDI QIDQ3340087

Ivar Gustafsson

Publication date: 1984

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/4.1.55

zbMATH Keywords

computational complexityfinite elementbiharmonic equationpreconditioned conjugate gradient methodcoupled iteration


Mathematics Subject Classification ID

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) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)


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Conjugate gradient-like solution algorithms for the mixed finite element approximation of the biharmonic equation, applied to plate bending problems



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