SIAM Journal on Numerical Analysis · 1997 · 169 citations · 17 references
Numerical AnalysisEngineeringMechanical EngineeringComputer-aided DesignStructural OptimizationComputational MechanicsMesh OptimizationNumerical SimulationMesh SmoothingComputational GeometryApproximation TheoryStatisticsGeometric ModelingInverse ProblemsUnstructured Mesh GenerationSimple Mesh-smoothing AlgorithmFinite Element MethodNatural SciencesMesh ReductionDelaunay TriangulationSurface ModelingFinite-element TriangulationsPosteriori Error Estimates
We develop a simple mesh-smoothing algorithm for adaptively improving finite-element triangulations. The algorithm makes use of a posteriori error estimates which are now widely used in finite-element calculations. In this paper we derive the method, present some numerical illustrations, and give a brief analysis of the issue of uniqueness.
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