de Rham complexes for weak Galerkin finite element spaces

Chunmei Wang, Junping Wang, Xiu Ye, Shangyou Zhang

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number113645
JournalJournal of Computational and Applied Mathematics
Volume397
DOIs
StatePublished - Dec 1 2021

Keywords

  • Finite element methods
  • Polyhedral elements
  • Weak Galerkin
  • de Rham complex

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