Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 22, Pages 11255-11268Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2012.05.018
Keywords
Mixed finite element; Independent symmetric positive definite; Convergence analysis
Categories
Funding
- National Natural Science Foundation of China [60971132]
- Shandong Provincial Natural Science Foundation [ZR2010AL020]
- Fundamental Research Funds for the Central Universities
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Two novel mixed finite element procedures are established for parabolic integro-differential equations, which can be split into two independent symmetric positive definite sub-schemes and do not need to solve a coupled system of equations without requiring the LBB consistency condition. The convergence analysis shows that both methods lead to the optimal order L-2(Omega) norm error estimate for u and optimal H(div;Omega) norm error estimate for sigma. A numerical example is presented to illustrate the theoretical analysis. (C) 2012 Elsevier Inc. All rights reserved.
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