@article{b6d32e6c2c454abfa12bf9165af6f564,
title = "de Rham complexes for weak Galerkin finite element spaces",
abstract = "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.",
keywords = "Finite element methods, Polyhedral elements, Weak Galerkin, de Rham complex",
author = "Chunmei Wang and Junping Wang and Xiu Ye and Shangyou Zhang",
note = "Funding Information: The research of Chunmei Wang was partially supported by National Science Foundation, United States Award DMS-1849483.The research of Junping Wang was supported by the NSF IR/D program, United States, while working at National Science Foundation. However, any opinion, finding, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.This research was supported in part by National Science Foundation, United States Grant DMS-1620016. Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",
year = "2021",
month = dec,
day = "1",
doi = "10.1016/j.cam.2021.113645",
language = "English",
volume = "397",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
}