Year: 2010
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 3 : pp. 491–506
Abstract
A singularly perturbed two-point boundary-value problem of
reaction-convection-diffusion type is considered. The problem involves two
small parameters that give rise to two boundary layers of different widths.
The problem is solved using a streamline-diffusion FEM (SDFEM).
A robust a posteriori error estimate in the maximum norm is derived. It provides
computable and guaranteed upper bounds for the discretisation error.
Numerical examples are given that illustrate the theoretical findings and verify
the efficiency of the error estimator on a priori adapted meshes and in an
adaptive mesh movement algorithm.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2010-IJNAM-733
International Journal of Numerical Analysis and Modeling, Vol. 7 (2010), Iss. 3 : pp. 491–506
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Reaction-convection-diffusion problems finite element methods a posteriori error estimation singular perturbation.