Title

A P0–P0 weak Galerkin finite element method for solving singularly perturbed reaction–diffusion problems

Document Type

Article

Publication Title

Numerical Methods for Partial Differential Equations

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.

First Page

213

Last Page

227

DOI

10.1002/num.22415

Publication Date

3-1-2020

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