A Multigrid Method for the Mortar-Type Morley Element Approximation of a Plate Bending Problem

DOI10.1137/S0036142999364728zbMath1049.74056MaRDI QIDQ4539390

Wenbin Chen, Xuejun Xu, Li-Kang Li

Publication date: 8 July 2002

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

zbMATH Keywords

\(W\)-cycle multigrid method\(V\)-cycle multigrid preconditioner

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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 (8)

Energy-preserving local mesh-refined splitting FDTD schemes for two dimensional Maxwell's equations ⋮ Numerical method for two-dimensional linearly elastic clamped plate model ⋮ \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes ⋮ New error estimates of the Morley element for the plate bending problems ⋮ A mortar finite element approximation for the linear Poisson-Boltzmann equation ⋮ Isogeometric mortar methods ⋮ A generalized BPX multigrid framework covering nonnested V-cycle methods ⋮ A unified mortar condition for nonconforming finite elements

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