Paper Info
Title
A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems.
Abstract
A system of two singularly perturbed convection–diffusion problems with strong coupling is studied. This system is discretized by an upwind finite difference scheme on an arbitrary non-uniform mesh. An a posteriori error estimation in the maximum norm is derived. Based on the a posteriori error estimation, a monitor function is proposed to design an adaptive grid algorithm. Especially, to implement the adaptive grid approach, we not only give a mesh generation algorithm, but also give a sub-algorithm, which is called an arc-length equidistribution algorithm. Numerical results are given to confirm our theoretical result.
Year
DOI
Venue
2017
10.1016/j.cam.2016.08.020
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
Singularly perturbed,Strongly coupled,Convection–diffusion,Maximum norm
Convection–diffusion equation,Discretization,Mathematical optimization,Coupling,Finite difference scheme,Mathematical analysis,Monitor function,A priori and a posteriori,Mathematics,Grid,Mesh generation
Journal
Volume
ISSN
Citations 
313
0377-0427
0
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
Li-Bin Liu111.40
Yanping Chen220817.42