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

✍ Scribed by Hongxing Rui; Sang Dong Kim; Seokchan Kim

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
970 KB
Volume
223
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 Οƒ . Optimal order error estimates are developed. Finally we give some numerical examples which are in good agreement with the theoretical analysis.

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