Mathematics of Computation · 2006 · 77 citations · 26 references
ComputingComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsAdaptive Mesh RefinementConvergence AnalysisError EstimationFinite Element DiscretizationFinite Element FormulationSolid Mechanics ApplicationsA Posteriori AnalysisA Posteriori Error EstimatesA Posteriori Error EstimationDiscontinuous Galerkin FormulationElasticity ProblemsError Estimation For Finite Element SolutionsFinite-element Mesh AdaptationLinear Elasticity
An adaptive discontinuous Galerkin finite element method for linear elasticity problems is presented. We develop an a posteriori error estimate and prove its robustness with respect to nearly incompressible materials (absence of volume locking). Furthermore, we present some numerical experiments which illustrate the performance of the scheme on adaptively refined meshes.
26