On graded meshes for a two-parameter singularly perturbed problem

Mirjana Brdar and Helena Zarin

Applied Mathematics and Computation, 2016, vol. 282, issue C, 97-107

Abstract: A one-dimensional reaction–diffusion–convection problem is numerically solved by a finite element method on two layer-adapted meshes, Duran-type mesh and Duran–Shishkin-type mesh, both defined by recursive formulae. Robust error estimates in the energy norm are proved. Numerical results are given to illustrate the parameter–uniform convergence of numerical approximations.

Keywords: Singularly perturbed problem; Two small parameters; Graded meshes; Galerkin finite element method (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316300698
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:282:y:2016:i:c:p:97-107

DOI: 10.1016/j.amc.2016.01.060

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().