Convergence in L2 norm of the SDFEM on a Shishkin triangular mesh for problems with characteristic layers

Jin Zhang and Xiaowei Liu

Applied Mathematics and Computation, 2016, vol. 287-288, 171-183

Abstract: In this paper, we analyze a streamline diffusion finite element method (SDFEM) on a Shishkin triangular mesh, which is applied to a model singularly perturbed convection-diffusion problem. The main result is to show the SDFEM solution on the triangular mesh possesses the optimal convergence order in the L2 norm provided that the diffusion coefficient is sufficiently small compared with the mesh size. Numerical experiments illustrate the theoretical result.

Keywords: Convection-diffusion; Characteristic layer; SDFEM; Shishkin triangular mesh (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316302855
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:287-288:y:2016:i::p:171-183

DOI: 10.1016/j.amc.2016.04.035

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 ().