On angle conditions in the finite element nethod
On angle conditions in the finite element nethod
复制标题
有限元方法中的角度条件
作者:
J. Brandts;A. Hannukainen;S. Korotov;M. Křížek
Angle conditions play an important role in the analysis of the finite element method. They enable us to derive the optimal interpolation order and prove convergence of this method, to derive various a posteriori error estimates, to perform regular mesh refinements, etc. In 1968, Miloš Zlámal introduced the minimum angle condition for triangular elements. From that time onward many other useful geometric angle conditions on the shape of elements appeared. In this paper, we shall give a survey of various generalizations of the minimum and also maximum angle condition in the finite element method and present some of their applications.
DOI:
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发表时间:
2007
期刊:
影响因子:
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作者:
H.;Maruyama
通讯作者:
Maruyama