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 language | English |
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Pages (from-to) | 171-191 |
Number of pages | 21 |
Journal | Applied Numerical Mathematics |
Volume | 162 |
DOIs | |
State | Published - Apr 2021 |
Keywords
- Convection-diffusion
- Finite element methods
- Polygonal or polyhedral meshes
- Primal-dual
- Weak Galerkin
- Weak gradient