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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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

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