SIAM Journal on Numerical Analysis · 1981 · 123 citations · 4 references
ComputingComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisError EstimationFinite Element DiscretizationFinite Element FormulationA Posteriori AnalysisA Posteriori Error EstimatesA Posteriori Error EstimationEnergy Norm Error AnalysisError Estimation For Finite Element SolutionsL2 Error Analysis
The paper develops a theory of a posteriors error estimates under the $L_p $-energy norm for $2 \leqq p \leqq \infty $. The theory is based on a general concept of error indicators and error estimators. Several specific examples of these quantities are introduced and analyzed in detail. The results provide a variety of easily computable error estimates under all these important norms for finite element solutions of one-dimensional problems.
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