Das, Pratibhamoy (2015) Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems. In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 290 . pp. 16-25.
![]() |
PDF
Jou_of_Com_and_App_Mat_290_16_2015.pdf - Published Version Restricted to Registered users only Download (489kB) | Request a copy |
Abstract
This paper deals with the adaptive mesh generation for singularly perturbed nonlinear parameterized problems with a comparative research study on them. We propose an a posteriori error estimate for singularly perturbed parameterized problems by moving mesh methods with fixed number of mesh points. The well known a priori meshes are compared with the proposed one. The comparison results show that the proposed numerical method is highly effective for the generation of layer adapted a posteriori meshes. A numerical experiment of the error behavior on different meshes is carried out to highlight the comparison of the approximated solutions. (C) 2015 Elsevier B.V. All rights reserved.
Item Type: | Journal Article |
---|---|
Publication: | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
Publisher: | ELSEVIER SCIENCE BV |
Additional Information: | Copy right of this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS |
Keywords: | Singular perturbation; Moving mesh methods; Mesh equidistribution; Uniformly convergent adaptive solution; A priori meshes; A posteriori meshes |
Department/Centre: | Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre |
Date Deposited: | 03 Sep 2015 06:43 |
Last Modified: | 03 Sep 2015 06:43 |
URI: | http://eprints.iisc.ac.in/id/eprint/52305 |
Actions (login required)
![]() |
View Item |