Discontinuous Galerkin immersed finite element methods for parabolic interface problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:299

Article

Yang, Qing¹  Zhang, Xu² 

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

关键词: Parabolic interface problems;    Discontinuous Galerkin;    Immersed finite element;    Error estimates;   

DOI  :  10.1016/j.cam.2015.11.020

来源: Elsevier

【 摘 要 】

In this article, interior penalty discontinuous Galerkin methods using immersed finite element functions are employed to solve parabolic interface problems. Typical semi discrete and fully discrete schemes are presented and analyzed. Optimal convergence for both semi-discrete and fully discrete schemes is proved. Some numerical experiments are provided to validate our theoretical results. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

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