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In this paper we investigate the identification of the time-dependent perfusion coefficient in the transient bio-heat conduction equation. Apart from the usual initial and Dirichlet/Neumann boundary conditions, in this inverse coefficient identification problem the additional measurement...
In the paper Eppler and Harbrecht, Control & Cybernetics 34: 203–225, 2005, the authors investigated the identification of an obstacle or void of perfectly conducting material in a two-dimensional domain by measurements of voltage and currents at the boundary. In particular, the reformulation...
We collect some stability and reconstruction results for two inverse boundary value problems arising in corrosion detection.
This paper is devoted to the numerical analysis of inverse problem for abstract elliptic differential equations. The presentation uses the general approximation scheme and is based on C 0 -semigroup theory and a functional analysis approach.
This paper discusses the inverse problem of determining a spacewise dependent heat source in one-dimensional heat equation in a half infinite domain where data is given at some fixed time. The problem is ill-posed, i.e., the solution, if existing, does not depend continuously on the data. Two...
The structure of the reconstruction algorithm OPED permits a natural way to generate additional data, while still preserving the essential feature of the algorithm. This provides a method for image reconstruction for limited angel problems. In stead of completing the set of data, the set of...
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