SIAM Journal on Numerical Analysis · 1983 · 660 citations · 6 references
ComputingComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsAdaptive Mesh RefinementConvergence AnalysisError EstimationFinite Element DiscretizationFinite Element FormulationSolid Mechanics ApplicationsA Posteriori Error EstimatesElement FormulationError Estimation For Finite Element SolutionsFinite Element ModelingLinear ModelsMesh RefinementMesh Refinement CriteriaMesh Refinement Techniques
Statically and kinematically admissible fields are explicitly derived from the finite element solution of the primal form of linear models. The error on constitutive law for these fields yields an expression of the finite element error. Moreover, the contribution of each element to this error allows to implement an automatic mesh refinement procedure leading to a uniform distribution of a given accuracy.
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