New primal-dual weak Galerkin finite element methods for convection-diffusion problems

Waixiang Cao, Chunmei Wang

Research output: Contribution to journalArticlepeer-review

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 L2 norms. A series of numerical experiments are conducted and reported to verify the theoretical findings.

Original languageEnglish
Pages (from-to)171-191
Number of pages21
JournalApplied Numerical Mathematics
Volume162
DOIs
StatePublished - Apr 2021

Keywords

  • Convection-diffusion
  • Finite element methods
  • Polygonal or polyhedral meshes
  • Primal-dual
  • Weak Galerkin
  • Weak gradient

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