A high quality mesh scheme for adaptive finite element methods

Author

Wang Bing ; Qin Hengfeng

Author_Institution

Sch. of Mech. Eng., Xiangtan Univ., Xiangtan, China

fYear

2013

Firstpage

2917

Lastpage

2921

Abstract

A high quality unstructured triangular mesh scheme for adaptive finite element methods (AFEM) is presented. The algorithm is based on Superconvergent Cluster Recovery (SCR), and coupled with remeshing procedure and centroidal Voronoi tessellation (CVT) optimization techniques. The advantage for SCR is robust and easy to implementation. Normalized edge lengths which based on a metric are employed as the remeshing criterion. A high quality mesh can be obtained by CVT. Numerical test shows that the scheme can be applied successfully to a typical elliptic equation problem and other relevant steady-state problems in engineering.

Keywords

computational geometry; mesh generation; optimisation; AFEM; CVT optimization techniques; SCR; adaptive finite element methods; centroidal Voronoi tessellation; elliptic equation problem; engineering; high quality unstructured triangular mesh scheme; metric; normalized edge lengths; numerical test; remeshing criterion; steady-state problems; superconvergent cluster recovery; Error analysis; Finite element analysis; Mathematical model; Mesh generation; Optimization; Robustness; Thyristors; Centroidal Voronoi Tessellation; Finite Element Methods; Superconvergent Cluster Recovery; remeshing; the a posteriori error estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639920