New mixed finite elements for plane elasticity and Stokes equations

DOI10.1007/s11425-011-4171-3zbMath1235.74324OpenAlexW2256151550MaRDI QIDQ763617

Xiaoping Xie, Jin-Chao Xu

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4171-3

zbMATH Keywords

elasticityStokes equationmixed finite elementnonconforming

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (10)

A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses ⋮ Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method ⋮ The simplest conforming anisotropic rectangular and cubic mixed finite elements for elasticity ⋮ New low-order mixed finite element methods for linear elasticity ⋮ A posteriori error estimator for eigenvalue problems by mixed finite element method ⋮ A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension ⋮ Uniform convergence and a posteriori error estimation for assumed stress hybrid finite element methods ⋮ Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\) ⋮ Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation ⋮ High Order Mixed Finite Elements with Mass Lumping for Elasticity on Triangular Grids

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