A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain
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Language: | English |
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Springer
2023
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Online Access: | https://link.springer.com/article/10.1186/s13661-023-01717-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7411 |
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oai:localhost:PNK-74112023-04-03T02:20:05Z A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain Xingtian, Gong Shuwei, Yang Cauchy problem Cauchy data CC BY The Cauchy problem of the Laplace equation is investigated for both exact and perturbed data on a doubly connected domain, i.e., the numerical reconstruction of the function value and the normal derivative value on a part of the boundary from the knowledge of exact or noisy Cauchy data on the remaining and accessible boundary, which is completely different from the Cauchy problem on a simply connected bounded region. 2023-04-03T02:20:04Z 2023-04-03T02:20:04Z 2023 Book https://link.springer.com/article/10.1186/s13661-023-01717-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7411 en application/pdf Springer |
institution |
Digital Phenikaa |
collection |
Digital Phenikaa |
language |
English |
topic |
Cauchy problem Cauchy data |
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Cauchy problem Cauchy data Xingtian, Gong Shuwei, Yang A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain |
description |
CC BY |
format |
Book |
author |
Xingtian, Gong Shuwei, Yang |
author_facet |
Xingtian, Gong Shuwei, Yang |
author_sort |
Xingtian, Gong |
title |
A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain |
title_short |
A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain |
title_full |
A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain |
title_fullStr |
A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain |
title_full_unstemmed |
A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain |
title_sort |
local regularization scheme of cauchy problem for the laplace equation on a doubly connected domain |
publisher |
Springer |
publishDate |
2023 |
url |
https://link.springer.com/article/10.1186/s13661-023-01717-2 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7411 |
_version_ |
1762184301271580672 |
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8.891145 |