The Ciarlet--Raviart Method for Biharmonic Problems on General Polygonal Domains: Mapping Properties and Preconditioning

DOI10.1137/130941225zbMath1312.65199OpenAlexW2007325561MaRDI QIDQ5253599

Walter Zulehner

Publication date: 27 May 2015

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

Full work available at URL: https://semanticscholar.org/paper/6e15a40da607d55557bce17088e0e51105d8f7e0

zbMATH Keywords

preconditioningbiharmonic equationmixed methodsCiarlet-Raviart methodmapping properties

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (6)

Poincaré-Friedrichs type constants for operators involving grad, curl, and div: theory and numerical experiments ⋮ A new mixed method for the biharmonic eigenvalue problem ⋮ The two-grid discretization of Ciarlet-Raviart mixed method for biharmonic eigenvalue problems ⋮ The adaptive Ciarlet-Raviart mixed method for biharmonic problems with simply supported boundary condition ⋮ Discontinuous Galerkin isogeometric analysis for the biharmonic equation ⋮ An approximate \(C^1\) multi-patch space for isogeometric analysis with a comparison to Nitsche's method

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