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The lowest order nonconforming finite element approximation to elliptic and parabolic interface problems
Shi Dongyang 1 *,Guan Hongbo 1,Guan Xiaofei 2
1.Department of Mathematics, University of Zhengzhou, Zhengzhou 450001
2.Department of Mathematics, University of Tongji, Shanghai 200092
*Correspondence author
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Funding: National Natural Science Foundation of China（No.11271340）, Specialized Research Fund for the Doctoral Program of Higher Education（No.20094101110006）
Opened online:11 March 2013
Accepted by: none
Citation: Shi Dongyang ,Guan Hongbo,Guan Xiaofei.The lowest order nonconforming finite element approximation to elliptic and parabolic interface problems[OL]. [11 March 2013] http://en.paper.edu.cn/en_releasepaper/content/4526345
 
 
This articleinvestigates the approximation to an elliptic interface problem withthe lowest order nonconforming linear triangular finite element(FE). Under some usual regularity assumptions on the exact solution,the optimal error estimates are obtained. In addition, this methodis applied to parabolic interface problems for a fully-discrete FEscheme, the optimal order estimates are also derived. The ideaprovided in this paper extends the application scope ofnonconforming FEs. Lastly, some numerical results are given toverify the theoretical analysis.
Keywords: interface problem; low order; nonconformingfinite element; optimal order error estimates
 
 
 

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