International Journal for Numerical Methods in Engineering · 1986 · 18 citations · 4 references
ComputingComputational EngineeringMechanical EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsAdaptive Mesh RefinementConvergence AnalysisEigenvalue ProblemsError EstimationFinite Element DiscretizationFinite Element FormulationA Posteriori AnalysisA Posteriori Error EstimatesA Posteriori Error EstimationEigenvalue ComputationError Estimation For Eigenvalue ProblemsGeneralized Eigenvalue ProblemsHierarchical Error EstimationRayleigh Quotient
Abstract The hierarchical concept applied to eigenvalue problems is considered. An error indicator is derived from the pertinent Rayleigh quotient. The indicator serves as an estimation ‘ a posteriori ’ of the relative change in an eigenvalue for a hierarchical refinement. A numerical example is included.
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An Analysis of the Finite Element Method
E. I., Gilbert Strang, George J. Fix · Mathematics of Computation · 1974 · 3.5K citations
Computing, Computational Engineering, Mechanical Engineering +12