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

• Articles • Previous Articles     Next Articles

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

Hongbo GUAN1, Dongyang SHI2   

  1. 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)

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

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals