Using a divergence regularization method to solve an ill-posed Cauchy problem for the Helmholtz equation

DOI10.1155/2022/4628634zbMath1502.35199OpenAlexW4220849530MaRDI QIDQ2111130

Joseph Ackora-Prah, Anthony Y. Aidoo, Benedict Barnes

Publication date: 23 December 2022

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/4628634

zbMATH Keywords

divergence regularization methodill-posed Helmholtz equationinhomogeneous boundary deflectionregularized Cauchy boundary conditions

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

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• A comparison of regularization methods for identifying unknown source problem for the modified Helmholtz equation
• Definitions and examples of inverse and ill-posed problems
• Constructing a variational quasi‐reversibility method for a Cauchy problem for elliptic equations
• An Energy Regularization for Cauchy Problems of Laplace Equation in Annulus Domain

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