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A finite difference method for the inverse elliptic problem with the Dirichlet condition
(Contemporary Analysis and Applied Mathematics, 2013)
Well-posedness of the inverse problem for the elliptic differential equation with Dirichlet condition is investigated. A finite difference method for the approximate solution of the inverse problem is applied. Stability ...
Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination
(Hindawi Ltd, 2013)
A finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the first and second ...
APPROXIMATE SOLUTION FOR AN INVERSE PROBLEM OF MULTIDIMENSIONAL ELLIPTIC EQUATION WITH MULTIPOINT NONLOCAL AND NEUMANN BOUNDARY CONDITIONS
(Texas State Univ, 2017)
In this work, we consider an inverse elliptic problem with Bitsadze-Samarskii type multipoint nonlocal and Neumann boundary conditions. We construct the first and second order of accuracy difference schemes (ADSs) for ...
Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
(Springer International Publishing Ag, 2015)
In the present study, the inverse problem for a multidimensional elliptic equation with mixed boundary conditions and overdetermination is considered. The first and second orders of accuracy in t and the second order of ...