A local regularization scheme of Cauchy problem for the Laplace equation on a doubly connected domain

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...

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Bibliographic Details
Main Authors: Xingtian Gong, Shuwei Yang
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:Boundary Value Problems
Subjects:
Laplace equation
Cauchy problem
Integral equations
Numerics
Local regularization
Doubly connected domain
Online Access:https://doi.org/10.1186/s13661-023-01717-2

Internet

https://doi.org/10.1186/s13661-023-01717-2

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