SIAM Journal on Scientific Computing · 2006 · 49 citations · 11 references
ComputingComputational EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisEigenvalue ProblemsFinite Element DiscretizationFinite Element FormulationMesh AnalysisMesh ProcessingConvergence Under Mesh RefinementDelaunay Triangulation AlgorithmsEigenvalue ComputationHigh-order Eigenvalue ApproximationMesh ConvergenceMesh Convergence AnalysisOrder Convergence
Abstract. The polynomial preserving recovery (PPR) is used to enhance the finite element eigenvalue approximation. Remarkable fourth order convergence is observed for linear elements under structured meshes as well as unstructured initial meshes (produced by the Delaunay triangulation) with the conventional bisection refinement.
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