Discrete maximum principle for the P1 - P0 weak Galerkin finite element approximations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:362

Article

Wang, Junping¹  Ye, Xiu²  Zhai, Qilong³  Zhang, Ran³ 

[1] Natl Sci Fdn, Div Math Sci, Alexandria, VA 22314 USA

[2] Univ Arkansas, Dept Math, Little Rock, AR 72204 USA

[3] Jilin Univ, Dept Math, Changchun, Jilin, Peoples R China

关键词: Weak Galerkin;    Finite element methods;    Discrete maximum principle;    Second order elliptic equations;   

DOI  :  10.1016/j.jcp.2018.02.013

来源: Elsevier

【 摘 要 】

This paper presents two discrete maximum principles (DMP) for the numerical solution of second order elliptic equations arising from the weak Galerkin finite element method. The results are established by assuming an h-acute angle condition for the underlying finite element triangulations. The mathematical theory is based on the well-known De Giorgi technique adapted in the finite element context. Some numerical results are reported to validate the theory of DMP. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free