Robin–Dirichlet algorithms for the Cauchy problem for the Helmholtz equation

DOI10.1080/17415977.2017.1380639zbMath1409.65085OpenAlexW1730541276MaRDI QIDQ3122020

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Publication date: 20 March 2019

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1380639

zbMATH Keywords

inverse problemCauchy problemHelmholtz equationill-posed problemalternating iterative 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 inverse problems for boundary value problems involving PDEs (65N21)

Related Items (5)

Solving the Cauchy problem for the Helmholtz equation using cubic smoothing splines ⋮ Analysis of Dirichlet-Robin iterations for solving the Cauchy problem for elliptic equations ⋮ Robin-Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain ⋮ An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation ⋮ The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods

Cites Work

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• Corrigendum

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