Stability and a posteriori error analysis of discontinuous Galerkin methods for linearized elasticity

DOI10.1016/j.cma.2010.10.007zbMath1228.74078OpenAlexW2091874846MaRDI QIDQ653696

Leila J. Bridgeman, Thomas P. Wihler

Publication date: 19 December 2011

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.10.007

zbMATH Keywords

linear elasticityA posteriori error analysisvolume lockinginfdiscontinuous Galerkin FEMsup stability

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Related Items (7)

Hybrid Discretizations in Solid Mechanics for Non-linear and Non-smooth Problems ⋮ MIXED hp-DISCONTINUOUS GALERKIN FEM FOR LINEAR ELASTICITY AND STOKES FLOW IN THREE DIMENSIONS ⋮ Uniformly Convergent Interior Penalty Methods Using Multilinear Approximations for Problems in Elasticity ⋮ The compact discontinuous Galerkin method for nearly incompressible linear elasticity ⋮ A geometric structure-preserving discretization scheme for incompressible linearized elasticity ⋮ A reduced local discontinuous Galerkin method for nearly incompressible linear elasticity ⋮ Convergence in the incompressible limit of new discontinuous Galerkin methods with general quadrilateral and hexahedral elements

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