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Adaptive refinement in 2‐D finite element applications
Author(s) -
Golias N. A.,
Tsiboukis T. D.
Publication year - 1991
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.1660040204
Subject(s) - adaptive mesh refinement , finite element method , triangulation , conjunction (astronomy) , subdivision , computer science , scheme (mathematics) , algorithm , mesh generation , mathematical optimization , mathematics , geometry , computational science , mathematical analysis , structural engineering , engineering , physics , civil engineering , astronomy
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.