Title
A singularly perturbed problem with two parameters on a Bakhvalov-type mesh
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.
Year
DOI
Venue
2016
10.1016/j.cam.2015.07.011
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
65L11,65L20,65L60,65L70
Galerkin finite element method,Mathematical optimization,Discretization error,Interpolation error,Mathematical analysis,Uniform convergence,Piecewise linear function,Mathematics
Journal
Volume
Issue
ISSN
292
C
0377-0427
Citations 
PageRank 
References 
4
0.88
6
Authors
2
Name
Order
Citations
PageRank
Mirjana Brdar141.21
Helena Zarin2365.25