English

Equivalence of Weak Galerkin Methods and Virtual Element Methods for Elliptic Equations

Numerical Analysis 2018-04-17 v2

Abstract

We propose a modification of the weak Galerkin methods and show its equivalence to a new version of virtual element methods. We also show the original weak Galerkin method is equivalent to the non-conforming virtual element method. As a consequence, ideas and techniques used for one method can be transferred to another. The key of the connection is the degree of freedoms.

Keywords

Cite

@article{arxiv.1503.04700,
  title  = {Equivalence of Weak Galerkin Methods and Virtual Element Methods for Elliptic Equations},
  author = {Long Chen},
  journal= {arXiv preprint arXiv:1503.04700},
  year   = {2018}
}

Comments

Some arguments are not exactly correct

R2 v1 2026-06-22T08:54:12.724Z