research-article

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

Author:

Pratibhamoy DasAuthors Info & Claims

Journal of Computational and Applied Mathematics, Volume 290, Issue C

Pages 16 - 25

https://doi.org/10.1016/j.cam.2015.04.034

Published: 15 December 2015 Publication History

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.

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Cited By

Zhou JYao XWang W(2022)Two-grid finite element methods for nonlinear time-fractional parabolic equationsNumerical Algorithms10.1007/s11075-021-01205-790:2(709-730)Online publication date: 1-Jun-2022
https://dl.acm.org/doi/10.1007/s11075-021-01205-7
Mao WChen YWang H(2022)A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equationsNumerical Algorithms10.1007/s11075-021-01147-089:3(1095-1127)Online publication date: 1-Mar-2022
https://dl.acm.org/doi/10.1007/s11075-021-01147-0
Kumar SKumar SSumit (2022)A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary conditionNumerical Algorithms10.1007/s11075-021-01134-589:2(791-809)Online publication date: 1-Feb-2022
https://dl.acm.org/doi/10.1007/s11075-021-01134-5
Show More Cited By

Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
1. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis
2. Theory of computation

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cover image Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics Volume 290, Issue C

December 2015

674 pages

ISSN:0377-0427

Issue’s Table of Contents

Copyright © Elsevier B.V.

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Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 15 December 2015

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Cited By

Zhou JYao XWang W(2022)Two-grid finite element methods for nonlinear time-fractional parabolic equationsNumerical Algorithms10.1007/s11075-021-01205-790:2(709-730)Online publication date: 1-Jun-2022
https://dl.acm.org/doi/10.1007/s11075-021-01205-7
Mao WChen YWang H(2022)A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equationsNumerical Algorithms10.1007/s11075-021-01147-089:3(1095-1127)Online publication date: 1-Mar-2022
https://dl.acm.org/doi/10.1007/s11075-021-01147-0
Kumar SKumar SSumit (2022)A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary conditionNumerical Algorithms10.1007/s11075-021-01134-589:2(791-809)Online publication date: 1-Feb-2022
https://dl.acm.org/doi/10.1007/s11075-021-01134-5
Zhai SWu LWang JWeng Z(2019)Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting methodNumerical Algorithms10.1007/s11075-019-00795-784:3(1155-1178)Online publication date: 23-Aug-2019
https://dl.acm.org/doi/10.1007/s11075-019-00795-7
Huang JCen ZXu ALiu L(2019)A posteriori error estimation for a singularly perturbed Volterra integro-differential equationNumerical Algorithms10.1007/s11075-019-00693-y83:2(549-563)Online publication date: 26-Mar-2019
https://dl.acm.org/doi/10.1007/s11075-019-00693-y

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