Reconstruction of the electric field of the Helmholtz equation in three dimensions

DOI10.1016/J.CAM.2016.05.021zbMath1344.35066arXiv1408.1932OpenAlexW19440407MaRDI QIDQ313578

Nguyen Huy Tuan, Mach Nguyet Minh, Vo Anh Khoa, Thanh Binh Tran

Publication date: 12 September 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1932

zbMATH Keywords

stabilityerror estimatesCauchy problemHelmholtz equationill-posed problemregularized solution

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Heat equation (35K05) Nonlinear ill-posed problems (47J06) Parabolic equations and parabolic systems (35K99)

Related Items (4)

Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data ⋮ Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system ⋮ Generalized Lavrentiev-type regularization method for the Cauchy problem of a semi-linear elliptic equation

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• Comparison of regularization methods for solving the Cauchy problem associated with the Helmholtz equation
• Approximate solution of a Cauchy problem for the Helmholtz equation
• An introduction to the mathematical theory of inverse problems

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