P1-nonconforming triangular finite element method for elliptic and parabolic interface problems

doi:10.1007/s10483-015-1974-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (9): 1197-1212.doi: https://doi.org/10.1007/s10483-015-1974-6

P₁-nonconforming triangular finite element method for elliptic and parabolic interface problems

Hongbo GUAN¹, Dongyang SHI²

1. College of Mathematics and Information Sciences, Zhengzhou University of Light Industry, Zhengzhou 450002, China;
2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

收稿日期:2014-08-22 修回日期:2015-01-20 出版日期:2015-09-01 发布日期:2015-09-01
通讯作者: Hongbo GUAN E-mail:guanhongbo@zzuli.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11271340)

P₁-nonconforming triangular finite element method for elliptic and parabolic interface problems

Hongbo GUAN¹, Dongyang SHI²

1. College of Mathematics and Information Sciences, Zhengzhou University of Light Industry, Zhengzhou 450002, China;
2. School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China

Received:2014-08-22 Revised:2015-01-20 Online:2015-09-01 Published:2015-09-01
Contact: Hongbo GUAN E-mail:guanhongbo@zzuli.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11271340)

摘要/Abstract

摘要： The lowest order P₁-nonconforming triangular finite element method (FEM) for elliptic and parabolic interface problems is investigated. Under some reasonable regularity assumptions on the exact solutions, the optimal order error estimates are obtained in the broken energy norm. Finally, some numerical results are provided to verify the theoretical analysis.

关键词: P₁-nonconforming finite element method (FEM), interface problem, optimal order error estimate

Abstract: The lowest order P₁-nonconforming triangular finite element method (FEM) for elliptic and parabolic interface problems is investigated. Under some reasonable regularity assumptions on the exact solutions, the optimal order error estimates are obtained in the broken energy norm. Finally, some numerical results are provided to verify the theoretical analysis.

Key words: P₁-nonconforming finite element method (FEM), interface problem, optimal order error estimate

中图分类号:

O242.21

Hongbo GUAN, Dongyang SHI. P₁-nonconforming triangular finite element method for elliptic and parabolic interface problems[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(9): 1197-1212.

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P₁-nonconforming triangular finite element method for elliptic and parabolic interface problems

P₁-nonconforming triangular finite element method for elliptic and parabolic interface problems

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