Volume 28, Issue 6
A Coarsening Algorithm on Adaptive Grids by Newest Vertex Bisection and Its Applications

Long Chen & Chensong Zhang

J. Comp. Math., 28 (2010), pp. 767-789.

Published online: 2010-12

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  • Abstract

In this paper, an efficient and easy-to-implement coarsening algorithm is proposed for adaptive grids obtained using the newest vertex bisection method in two dimemsions. The new coarsening algorithm does not require storing the binary refinement tree explicitly. Instead, the structure is implicitly contained in a special ordering of triangular elements. Numerical experiments demonstrate that the proposed coarsening algorithm is efficient when applied for multilevel preconditioners and mesh adaptivity for time-dependent problems.

  • Keywords

Adaptive finite element method Coarsening Newest vertex bisection

  • AMS Subject Headings

65M55 65N55 65N22 65F10.

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COPYRIGHT: © Global Science Press

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@Article{JCM-28-767, author = {Long Chen and Chensong Zhang}, title = {A Coarsening Algorithm on Adaptive Grids by Newest Vertex Bisection and Its Applications}, journal = {Journal of Computational Mathematics}, year = {2010}, volume = {28}, number = {6}, pages = {767--789}, abstract = {

In this paper, an efficient and easy-to-implement coarsening algorithm is proposed for adaptive grids obtained using the newest vertex bisection method in two dimemsions. The new coarsening algorithm does not require storing the binary refinement tree explicitly. Instead, the structure is implicitly contained in a special ordering of triangular elements. Numerical experiments demonstrate that the proposed coarsening algorithm is efficient when applied for multilevel preconditioners and mesh adaptivity for time-dependent problems.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1004-m3172}, url = {http://global-sci.org/intro/article_detail/jcm/8549.html} }
TY - JOUR T1 - A Coarsening Algorithm on Adaptive Grids by Newest Vertex Bisection and Its Applications AU - Long Chen & Chensong Zhang JO - Journal of Computational Mathematics VL - 6 SP - 767 EP - 789 PY - 2010 DA - 2010/12 SN - 28 DO - http://doi.org/10.4208/jcm.1004-m3172 UR - https://global-sci.org/intro/article_detail/jcm/8549.html KW - Adaptive finite element method KW - Coarsening KW - Newest vertex bisection KW - AB -

In this paper, an efficient and easy-to-implement coarsening algorithm is proposed for adaptive grids obtained using the newest vertex bisection method in two dimemsions. The new coarsening algorithm does not require storing the binary refinement tree explicitly. Instead, the structure is implicitly contained in a special ordering of triangular elements. Numerical experiments demonstrate that the proposed coarsening algorithm is efficient when applied for multilevel preconditioners and mesh adaptivity for time-dependent problems.

Long Chen & Chensong Zhang. (1970). A Coarsening Algorithm on Adaptive Grids by Newest Vertex Bisection and Its Applications. Journal of Computational Mathematics. 28 (6). 767-789. doi:10.4208/jcm.1004-m3172
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