A Coarsening Algorithm on Adaptive Grids by the Newest Vertex Bisection and Its Applications

A Coarsening Algorithm on Adaptive Grids by the Newest Vertex Bisection and Its Applications

Year:    2010

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 6 : pp. 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 dimensions. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1004-m3172

Journal of Computational Mathematics, Vol. 28 (2010), Iss. 6 : pp. 767–789

Published online:    2010-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Adaptive finite element method Coarsening Newest vertex bisection Multilevel preconditioning.

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