Comparative Analysis of the Finite Element Methods for the Elasticity Problem with Singularity

被引：2
|
作者：
Rukavishnikov, V. A. [1 ]
Rukavishnikova, E., I [1 ]
机构：
[1] Russian Acad Sci, Comp Ctr, Far Eastern Branch, Kim Yu Chen Str 65, Khabarovsk 680000, Russia
来源：
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018) | 2019年 / 2116卷
关键词：
BOUNDARY-VALUE-PROBLEMS; STOKES PROBLEM; DEGENERATION; EQUATIONS;
D O I：
10.1063/1.5114509
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a comparative analysis of the weighted FEM and the finite element method with refined meshes for the elasticity problem with singularity is carried out. The finite element method with refined meshes fails on high-dimensional grids because of the small mesh size near the singular point, and the weighted FEM stably allows to find approximate solution with the accuracy O(h) under the same number of grid nodes.
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页数：4
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