CONSTRUCTING OF H-ADAPTIVE FINITE ELEMENT METHOD FOR PIEZOELECTRICITY PROBLEM

被引：0
|
作者：
Chaban, F. V. [1 ]
Shynkarenko, H. A. [1 ]
机构：
[1] Ivan Franko Natl Univ Lviv, 1 Univ Str, UA-79000 Lvov, Ukraine
来源：
JOURNAL OF NUMERICAL AND APPLIED MATHEMATICS | 2009年 / 1卷 / 97期
关键词：
Piezoelectricity; finite element method (FEM); a posteriori error estimator (AEE); h adaptation of triangulation;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on a classic Galerkin scheme a piecewise-quadratic a posteriori error estimator (AEE) has been built for finite element method piecewise-linear approximation of a stationary piezoelectricity problem for elastic deformation and electric potential. In addition to energy error characteristics on a triangular element, the proposed AEE allows to calculate approximate point-values of errors in center of its sides. Using this AEE and Delaunay triangulation constructing algorithm an h adaptive FEM scheme has been built, which convergence computing characteristics are illustrated by results of the solved model problem.
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页码：1 / 9
页数：9
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