Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638231 | Journal of Computational and Applied Mathematics | 2016 | 13 Pages |
Abstract
A singularly perturbed problem with two small parameters is considered. On a Bakhvalov-type mesh we prove uniform convergence of a Galerkin finite element method with piecewise linear functions. Arguments in the error analysis include interpolation error bounds for a Clément quasi-interpolant as well as discretization error estimates in an energy norm. Numerical experiments support theoretical findings.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mirjana Brdar, Helena Zarin,