Variable V-cycle multigrid preconditioners for the discrete systems from combined hybrid quadrilateral elements

DOI10.1016/j.camwa.2018.05.005zbMath1419.65127OpenAlexW2804399688WikidataQ129766611 ScholiaQ129766611MaRDI QIDQ2001705

Huiling Wang, Yu-Feng Nie

Publication date: 11 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.05.005

zbMATH Keywords

linear elasticity problemmultigrid preconditionercombined hybrid quadrilateral elementintergrid transfer operatorWilson interpolation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Classical linear elasticity (74B05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Preconditioners for iterative methods (65F08)

Cites Work

• A convergence condition for the quadrilateral Wilson element
• The multigrid method of Wilson element on arbitrary quadrilateral meshes with two new variational formulations
• Finite element method based on combination of ``saddle point variational formulations
• \(V\)-cycle multigrid methods for Wilson nonconforming element
• Multilevel methods for Wilson element approximation of elasticity problem
• Combined hybrid approach to finite element schemes of high performance
• Rational approach for assumed stress finite elements
• Multigrid Methods for Nonconforming Finite Element Methods
• An Optimal-Order Multigrid Method for P1 Nonconforming Finite Elements
• Mixed and Hybrid Finite Element Methods
• Iterative Methods by Space Decomposition and Subspace Correction
• An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods
• Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems
• Zero energy-error mechanism of the combined hybrid method and improvement of Allman's membrane element with drilling d.o.f.'s
• A plane hybrid element with rotational d.o.f. and adjustable stiffness
• The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms
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