A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain
Abstract 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 t...
Main Authors: | Xingtian Gong, Shuwei Yang |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2023-04-01
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Series: | Boundary Value Problems |
Subjects: | |
Online Access: | https://doi.org/10.1186/s13661-023-01717-2 |
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