Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions
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Ngôn ngữ: | English |
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s12190-022-01832-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7437 |
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oai:localhost:PNK-74372023-04-03T07:30:35Z Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions Sunil, Kumar Joginder, Singh Aakansha reaction-diffusion typ perturbed parabolic CC BY We construct and analyze a domain decomposition method to solve a class of singularly perturbed parabolic problems of reaction-diffusion type having Robin boundary conditions. The method considers three subdomains, of which two are finely meshed, and the other is coarsely meshed. The partial differential equation associated with the problem is discretized using the finite difference scheme on each subdomain, while the Robin boundary conditions associated with the problem are approximated using a special finite difference scheme to maintain the accuracy. 2023-04-03T07:30:35Z 2023-04-03T07:30:35Z 2022 Book https://link.springer.com/article/10.1007/s12190-022-01832-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7437 en application/pdf Springer |
institution |
Digital Phenikaa |
collection |
Digital Phenikaa |
language |
English |
topic |
reaction-diffusion typ perturbed parabolic |
spellingShingle |
reaction-diffusion typ perturbed parabolic Sunil, Kumar Joginder, Singh Aakansha Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions |
description |
CC BY |
format |
Book |
author |
Sunil, Kumar Joginder, Singh Aakansha |
author_facet |
Sunil, Kumar Joginder, Singh Aakansha |
author_sort |
Sunil, Kumar |
title |
Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions |
title_short |
Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions |
title_full |
Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions |
title_fullStr |
Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions |
title_full_unstemmed |
Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions |
title_sort |
parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with robin boundary conditions |
publisher |
Springer |
publishDate |
2023 |
url |
https://link.springer.com/article/10.1007/s12190-022-01832-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7437 |
_version_ |
1762184303735734272 |
score |
8.889492 |