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This article is cited in 2 scientific papers (total in 2 papers)
Computational mathematics
Numerical solution of the inverse Cauchy problem for the elliptic equation
G. A. Prokopev, V. I. Vasil'ev, A. M. Kardashevsky, P. V. Sivsev North-Eastern Federal University, 58 Belinsky str, 670000, Yakutsk, Republic of Sakha (Yakutia), Russia
Abstract:
This paper is interested at the Cauchy problem for Laplace's equation, which is to recover Dirichlet condition on the accessible part of the domain from additional conditions on the other part of domain. To solve this kind of ill-posed problem, we use a variational iterative method. Also, a direct method for numerical solution of the inverse boundary value problem is presented.
Keywords:
inverse problem, ill-posed problem, Laplace equation, iterative method, direct method, difference scheme.
Received November 11, 2016, published April 4, 2017
Citation:
G. A. Prokopev, V. I. Vasil'ev, A. M. Kardashevsky, P. V. Sivsev, “Numerical solution of the inverse Cauchy problem for the elliptic equation”, Sib. Èlektron. Mat. Izv., 14 (2017), 308–316
Linking options:
https://www.mathnet.ru/eng/semr787 https://www.mathnet.ru/eng/semr/v14/p308
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