International Journal of Numerical Modelling Electronic Networks Devices and Fields · 1991 · 15 citations · 13 references
ComputingComputational EngineeringComputer-aided DesignFinite Element AnalysisFinite Element MethodsAdaptive Mesh RefinementFinite Element DiscretizationFinite Element FormulationSubdivision SurfacesAdaptive RefinementCurved ElementsFinite Element ModelingMesh Adaptation CriteriaMesh RefinementMesh Refinement CriteriaMesh Refinement TechniquesSubdivision
Abstract An adaptive mesh refinement scheme in the finite element method is presented in this paper. The new criterion B diff for adaptive refinement is tested for its validity. A technique for approximating curved boundaries employing the concept of triangle subdivision in conjunction with Delauney triangulation is also considered, so that the mesh produced is optimal. The implementation of the adaptive mesh refinement criterion in conjunction with the proposed technique of including the curved boundaries in the finite element model is described in detail and several examples of its application are given by way of illustration.
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