A mollification method for a Cauchy problem for the Helmholtz equation

DOI10.1080/00207160.2017.1380193zbMath1499.65626OpenAlexW2755128005MaRDI QIDQ5028581

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Publication date: 10 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1380193

zbMATH Keywords

regularizationCauchy problemerror estimateHelmholtz equationill-posed problemmollification

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)

Related Items (5)

A mollification regularization method with the Dirichlet kernel for two Cauchy problems of three-dimensional Helmholtz equation ⋮ A kind of operator regularization method for Cauchy problem of the Helmholtz equation in a multi-dimensional case ⋮ An efficient D-N alternating algorithm for solving an inverse problem for Helmholtz equation ⋮ An alternating iterative method for solving the Cauchy problem for the Helmholtz equation in Interior multiply connected domain ⋮ An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation

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