Abstract
This paper investigates the lowest-order weak Galerkin finite element (WGFE) method for solving reaction–diffusion equations with singular perturbations in two and three space dimensions. The system of linear equations for the new scheme is positive definite, and one might readily get the well-posedness of the system. Our numerical experiments confirmed our error analysis that our WGFE method of the lowest order could deliver numerical approximations of the order O(h1/2) and O(h) in H1 and L2 norms, respectively.
| Original language | Undefined/Unknown |
|---|---|
| Pages (from-to) | 213-227 |
| Number of pages | 15 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 36 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 24 2019 |
Keywords
- discrete gradient
- finite element methods
- reaction–diffusion system
- singular perturbation
- weak Galerkin
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