Iterative Solution Methods for Plate Bending Problems: Multigrid and Preconditioned<scp>cg</scp>algorithm

DOI10.1137/0727084zbMath0721.73040OpenAlexW1989201563WikidataQ121826512 ScholiaQ121826512MaRDI QIDQ5753638

Erwin Stein, Petra Peisker, Wilhelm Rust

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1137/0727084

zbMATH Keywords

Kirchhoff platelinear equationsmultigrid algorithmpreconditioned conjugate gradientsZienkiewicz triangleMindlin-Reissner formulationdiscretization of clamped loaded platemodified shear energyoptimal order multigrid method

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (7)

Multigrid methods for Hellan-Herrmann-Johnson mixed method of Kirchhoff plate bending problems ⋮ Auxiliary space preconditioners for a \(C^0\) finite element approximation of Hamilton-Jacobi-Bellman equations with cordes coefficients ⋮ Multigrid methods for parameter dependent problems ⋮ An additive Schwarz method for plate bending problems ⋮ On the convergence of spectral multigrid methods for solving periodic problems ⋮ Is There More Than One Dirichlet--Neumann Algorithm for the Biharmonic Problem? ⋮ Convergence of nonconforming multigrid methods without full elliptic regularity

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