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A three-dimensional adaptive method based on the iterative grid redistribution
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DOI：10.1016/j.jcp.2004.02.014.png)
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Abstract
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In this paper, we develop a three-dimensional adaptive method based on iterative grid redistribution technique introduced in [J. Comput. Phys. 159 (2000) 246]. The key step for the successful implementation is a fast algorithm for grid generation, which is composed of solving the linear grid equation systems and an efficient method for inverting a map by computing iso-surface intersections. To carry out the three-dimensional calculations, the whole procedure is also parallelized on a PC cluster. The improved and extended three-dimensional adaptive method is applied to solve PDEs with singular solutions that have three-dimensional structures. Numerical experiments have demonstrated the method's effectiveness. (C) 2004 Elsevier Inc. All rights reserved.
Keywords:
SINGULAR PROBLEMS
ALGORITHM
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