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Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems

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.

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Official URL: http://dx.doi.org/10.1016/j.cam.2015.04.034

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
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 Research > Supercomputer Education & Research Centre
Depositing User: Id for Latest eprints
Date Deposited: 03 Sep 2015 06:43
Last Modified: 03 Sep 2015 06:43
URI: http://eprints.iisc.ac.in/id/eprint/52305

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