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New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems

Numerical Analysis 2020-01-22 v1 Numerical Analysis

Abstract

This article devises a new primal-dual weak Galerkin finite element method for the convection-diffusion equation. Optimal order error estimates are established for the primal-dual weak Galerkin approximations in various discrete norms and the standard L2L^2 norms. A series of numerical experiments are conducted and reported to verify the theoretical findings.

Keywords

Cite

@article{arxiv.2001.06847,
  title  = {New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems},
  author = {Waixiang Cao and Chunmei Wang},
  journal= {arXiv preprint arXiv:2001.06847},
  year   = {2020}
}

Comments

26 pages, 3 figures, 9 tables

R2 v1 2026-06-23T13:15:03.650Z