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Inverse Problems in Science and Engineering Volume 26, 2018 - Issue 7
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Original Articles

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

Fredrik BerntssonDepartment of Mathematics, Linköping University, Linköping, Sweden.View further author information
,
Vladimir KozlovDepartment of Mathematics, Linköping University, Linköping, Sweden.View further author information
,
Lydie MpinganzimaDepartment of Applied Mathematics, University of Rwanda, Kigali, Rwanda.Correspondence[email protected]
View further author information
&
Bengt Ove TuressonDepartment of Mathematics, Linköping University, Linköping, Sweden.View further author information
Pages 1062-1078 | Received 06 Dec 2014, Accepted 04 Sep 2017, Published online: 24 Sep 2017

Citations (6)

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Hussien Lotfinia, Nabi Chegini & Reza Mokhtari. (2021) The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods. Inverse Problems in Science and Engineering 29:1, pages 17-39.
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Articles from other publishers (5)

Karzan A. Berdawood, Abdeljalil Nachaoui, Mourad Nachaoui & Fatima Aboud. (2021) An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation. Numerical Methods for Partial Differential Equations 39:3, pages 1888-1914.
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Pauline Achieng, Fredrik Berntsson & Vladimir Kozlov. (2023) Robin–Dirichlet alternating iterative procedure for solving the Cauchy problem for Helmholtz equation in an unbounded domain. Journal of Inverse and Ill-posed Problems 0:0.
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Mary Nanfuka, Fredrik Berntsson & John Mango. (2021) Solving the Cauchy problem for the Helmholtz equation using cubic smoothing splines. Journal of Applied Mathematics and Computing 68:2, pages 1335-1350.
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Pauline Achieng, Fredrik Berntsson, Jennifer Chepkorir & Vladimir Kozlov. (2020) Analysis of Dirichlet–Robin Iterations for Solving the Cauchy Problem for Elliptic Equations. Bulletin of the Iranian Mathematical Society 47:6, pages 1681-1699.
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Fredrik Berntsson, Jennifer Chepkorir & Vladimir Kozlov. (2021) Accelerated Dirichlet–Robin alternating algorithms for solving the Cauchy problem for the Helmholtz equation. IMA Journal of Applied Mathematics 86:6, pages 1181-1203.
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