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首页> 外文期刊>Journal of Computational Physics >THE METHOD OF AUXILIARY MAPPING FOR THE FINITE ELEMENT SOLUTIONS OF ELASTICITY PROBLEMS CONTAINING SINGULARITIES
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THE METHOD OF AUXILIARY MAPPING FOR THE FINITE ELEMENT SOLUTIONS OF ELASTICITY PROBLEMS CONTAINING SINGULARITIES

机译:包含奇异性的弹性问题的有限元解决方案的辅助映射方法

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摘要

We have introduced a new approach called the method of auxiliary mapping to deal with elliptic boundary Value problems with singularities. In this paper this method is extended so that it can handle the plane elasticity problems containing singularities. In order to show the effectiveness, this method is compared with the conventional approach in the framework of the p-version of the finite element method. Moreover, it is demonstrated that this method yields a better solution for those elasticity problems containing strong singularities than does the h-p version of the finite element method. (C) 1995 Academic Press. Inc. [References: 38]
机译:我们引入了一种称为辅助映射的新方法来处理具有奇异性的椭圆边界值问题。在本文中,对该方法进行了扩展,使其可以处理包含奇异性的平面弹性问题。为了证明有效性,将该方法与传统方法在有限元方法的p版本框架内进行了比较。而且,证明了与有限元方法的h-p版本相比,该方法对于包含强奇异性的那些弹性问题提供了更好的解决方案。 (C)1995年学术出版社。 Inc. [参考:38]

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