The a posteriori Fourier method for solving the Cauchy problem for the Laplace equation with nonhomogeneous Neumann data

DOI10.1016/j.apm.2013.03.009zbMath1438.35452OpenAlexW2054021386MaRDI QIDQ1789465

Hao Cheng, Yuan-Xiang Zhang, Chu-Li Fu, Yun-Jie Ma

Publication date: 10 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.03.009

zbMATH Keywords

regularizationconditional stabilityill-posed problemCauchy problem for the Laplace equation\textit{a posteriori} Fourier method

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (2)

Regularization method for an ill-posed Cauchy problem for elliptic equations ⋮ A \textit{a posteriori} regularization for the Cauchy problem for the Helmholtz equation with inhomogeneous Neumann data

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