A fully discrete C0 interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:247

Article

Gudi, Thirupathi¹  Gupta, Hari Shanker¹ 

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

关键词: Finite element;    Discontinuous Galerkin;    Error estimate;    Regularity;    Stability;    EFK equation;   

DOI  :  10.1016/j.cam.2012.12.019

来源: Elsevier

【 摘 要 】

A fully discrete C-0 interior penalty finite element method is proposed and analyzed for the Extended Fisher-Kolmogorov (EFK) equation u(t) + gamma Delta(2)u - Delta u + u(3) - u = 0 with appropriate initial and boundary conditions, where gamma is a positive constant. We derive a regularity estimate for the solution u of the EFK equation that is explicit in gamma and as a consequence we derive a priori error estimates that are robust in gamma. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

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