An iterative regularization method to solve the Cauchy problem for the Helmholtz equation

DOI10.1155/2014/917972zbMath1407.65267OpenAlexW2153548687WikidataQ59070755 ScholiaQ59070755MaRDI QIDQ1719392

Xianqiang Yang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/917972

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Cites Work

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• Comparison of regularization methods for solving the Cauchy problem associated with the Helmholtz equation
• Conditional Stability Estimates and Regularization with Applications to Cauchy Problems for the Helmholtz Equation
• Approximate solution of a Cauchy problem for the Helmholtz equation

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