IMPROVED ERROR ESTIMATION FOR THE PARTIALLY PENALIZED IMMERSED FINITE ELEMENT METHODS FOR ELLIPTIC INTERFACE PROBLEMS

被引：2

作者：

Guo, Ruchi ^{[1
]}

Lin, Tao ^{[1
]}

Zhuang, Qiao ^{[1
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2019年 / 16卷 / 04期

关键词：

Interface problems; immersed finite element methods; optimal convergence; discontinuous coefficients; finite element spaces; interface independent mesh; regularity; ELASTICITY EQUATIONS; SPACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is for proving that the partially penalized immersed finite element (PPIFE) methods developed in [25] converge optimally under the standard piecewise H-2 regularity assumption for the exact solution. In energy norms, the error estimates given in this paper are better than those in [25] where a stronger piecewise H-3 regularity was assumed. Furthermore, with the standard piecewise H-2 regularity assumption, this paper proves that these PPIFE methods also converge optimally in the L-2 norm which could not be proved in [25] because of the excessive H-3 regularity requirement.

引用

页码：575 / 589

页数：15

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