Weak Galerkin finite element methods for quad-curl problems

Chunmei Wang, Junping Wang, Shangyou Zhang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

This article introduces a weak Galerkin (WG) finite element method for quad-curl problems in three dimensions. It is proved that the proposed WG method is stable and accurate in an optimal order of error estimates for the exact solution in discrete norms. In addition, an L2 error estimate in an optimal order except the lowest order k=2 is derived for the WG solution. Some numerical experiments are conducted to verify the efficiency and accuracy of our WG method and furthermore a superconvergence has been observed from the numerical results.

Original languageEnglish
Article number115186
JournalJournal of Computational and Applied Mathematics
Volume428
DOIs
StatePublished - Aug 15 2023

Keywords

  • Finite element methods
  • Polyhedral partition
  • Quad-curl problem
  • WG
  • Weak Galerkin

Fingerprint

Dive into the research topics of 'Weak Galerkin finite element methods for quad-curl problems'. Together they form a unique fingerprint.

Cite this