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P 1-nonconforming triangular finite element method for elliptic and parabolic interface problems |
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| Authors: | Hongbo Guan Dongyang Shi |
| Institution: | 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 |
| 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. |
| Keywords: | P1-nonconforming finite element method (FEM) interface problem optimal order error estimate |
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