Mesh refinement strategies for solving singularly perturbed reaction-diffusion problems

Authors
Castaings, W Navon, IM
Citation
W. Castaings et Im. Navon, Mesh refinement strategies for solving singularly perturbed reaction-diffusion problems, COMPUT MATH, 41(1-2), 2001, pp. 157-176
Citations number
21
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
41
Issue
1-2
Year of publication
2001
Pages
157 - 176
Database
ISI
SICI code
0898-1221(200101)41:1-2<157:MRSFSS>2.0.ZU;2-Y
Abstract
We consider the numerical approximation of a singularly perturbed reaction- diffusion problem over a square. Two different approaches are compared name ly: adaptive isotropic mesh refinement and anisotropic mesh refinement. Thu s, we compare the h-refinement and the Shishkin mesh approaches numerically with PLTMG software [1]. It is shown how isotropic elements lead to over-r efinement and how anisotropic mesh refinement is much more efficient in thi n boundary layers. (C) 2001 Elsevier Science Ltd. All rights reserved.