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Two‐dimensional mesh generation, adaptive remeshing and refinement
Author(s) -
Jin H.,
Wiberg N.E.
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620290709
Subject(s) - a priori and a posteriori , polygon mesh , discretization , mesh generation , adaptive mesh refinement , computer science , algorithm , finite element method , domain (mathematical analysis) , mathematical optimization , simple (philosophy) , basis (linear algebra) , poisson's equation , mathematics , computational science , geometry , engineering , mathematical analysis , structural engineering , computer graphics (images) , philosophy , epistemology
This paper discusses the generation of unstructured triangular meshes by the advancing front technique. We also employ the technique to discretize surfaces. A simple and effective algorithm for the specification of element sizes is described. A similar idea is then applied to adaptive remeshing where a completely new mesh is created on the basis of the isolines of a certain important variable. The isolines are obtained from the FE‐calculation based on the previous mesh. In this paper, attention is focused on the Poisson's equation. The optimal a priori error estimate for the problem is used to estimate the number of isolines needed for the remeshing. When the estimated error exceeds the tolerance in only a small part of the domain, the adaptive procedure is switched automatically to an adaptive refinement.