de Rham complexes for weak Galerkin finite element spaces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:397

Article

Wang, Chunmei¹  Wang, Junping²  Ye, Xiu³  Zhang, Shangyou⁴ 

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

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

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

[4] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

关键词: Weak Galerkin;    Finite element methods;    de Rham complex;    Polyhedral elements;   

DOI  :  10.1016/j.cam.2021.113645

来源: Elsevier

【 摘 要 】

Two de Rham complex sequences of the finite element spaces are introduced for weak finite element functions and weak derivatives developed in the weak Galerkin (WG) finite element methods on general polyhedral elements. One of the sequences uses polynomials of equal order for all the finite element spaces involved in the sequence and the other one uses polynomials of naturally descending orders. It is shown that the diagrams in both de Rham complexes commute for general polyhedral elements. The exactness of one of the complexes is established for the lowest order element. (C) 2021 Elsevier B.V. All rights reserved.

【 授权许可】

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