Split least-squares finite element methods for linear and nonlinear parabolic problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:223

Article

Rui, Hongxing¹  Kim, Sang Dong²  Kim, Seokchan³ 

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

[2] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea

[3] Changwon Natl Univ, Dept Appl Math, Chang Won 641773, South Korea

关键词: Split;    Least squares;    Finite element;    Error estimates;    Parabolic problem;   

DOI  :  10.1016/j.cam.2008.03.030

来源: Elsevier

【 摘 要 】

In this paper, we propose some least-squares finite element procedures for linear and nonlinear parabolic equations based on first-order systems. By selecting the least-squares functional properly each proposed procedure can be split into two independent symmetric positive definite sub-procedures, one of which is for the primary unknown variable u and the other is for the expanded flux unknown variable a. Optimal order error estimates are developed. Finally we give some numerical examples which are in good agreement with the theoretical analysis. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free