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Quantitative study of adaptive mesh FEM with localization index of pattern

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概要 We study the effectivity of an adaptive mesh algorithm with triangular finite elements for two or three dimensional pattern dynamics appearing in several reactiondiffusion systems. The aim of this pap...er is to investigate a relation between the effectivity of the adaptive mesh and the pattern profile through several numerical experiments. Based on the result of our previous paper [6], the effectivity of the adaptive mesh is estimated in terms of the compression rate of the adapted mesh. We introduce a quantity called localization index which characterizes pattern profiles of numerical solutions.続きを見る

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2006-31 pdf 4.71 MB 33  

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登録日 2009.04.22
更新日 2018.02.26