Mathematical Models and Methods in Applied Sciences · 2003 · 112 citations · 11 references
ComputingComputational EngineeringMechanical EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisElasticity TheoryFinite Element FormulationMixed Finite Element MethodsShape FunctionsVariational FormulationElasticityFinite Element Variational FormulationHellinger-reissner FormulationMixed ElementsMixed Finite Element ConvergenceMixed Variational FormulationsNonconforming Finite ElementsPolynomial Shape Functions
We construct first-order, stable, nonconforming mixed finite elements for plane elasticity and analyze their convergence. The mixed method is based on the Hellinger–Reissner variational formulation in which the stress and displacement fields are the primary unknowns. The stress elements use polynomial shape functions but do not involve vertex degrees of freedom.
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