In this paper we consider the inverse boundary problem for the heat equation Deltau(x, t) = rho(x)partial derivative(t)u(x, t) in a bounded domain Omega subset of R-2. We develop and test numerically an algorithm of an approximate reconstruction of the unknown p(x). This algorithm is based on the moments' method for the heat equation developed by Kawashita, Kurylev and Soga
AbstractAdomian's decomposition approach is employed for solving some inverse boundary value problem...
The inverse heat conduction problem also frequently referred as the sideways heat equation, in shor...
International audienceWe consider an inverse boundary value problem for the heat equation on the int...
In the paper, we study an inverse problem for the heat equation. We introduce a class of bilinear fo...
We examine the inverse problem of determining the shape of some unknown portion of the boundary of a...
AbstractThis paper is concerned with the problem of the shape reconstruction of the inverse problem ...
We examine the inverse problem of determining the shape of some unknown portion of the boundary of a...
This paper investigates the inverse problems of simultaneous reconstruction of time-dependent therma...
International audienceWe prove a logarithmic stability estimate for the inverse problem of determini...
This work was carried out when the first and the third authors was visiting Professors at Laboratoir...
We consider the inverse problem of determining the shape of some inaccessible portion of the boundar...
International audienceThis work deals with an inverse boundary value problem arising from the equati...
AbstractWe consider the initial boundary value problem for the heat equation in a region with infini...
On the basis of A. N. Tikhonov’s regularization theory, a method is developed for solving inverse he...
AbstractThis paper describes the reconstruction of the heat transfer coefficient (space, Problem I, ...
AbstractAdomian's decomposition approach is employed for solving some inverse boundary value problem...
The inverse heat conduction problem also frequently referred as the sideways heat equation, in shor...
International audienceWe consider an inverse boundary value problem for the heat equation on the int...
In the paper, we study an inverse problem for the heat equation. We introduce a class of bilinear fo...
We examine the inverse problem of determining the shape of some unknown portion of the boundary of a...
AbstractThis paper is concerned with the problem of the shape reconstruction of the inverse problem ...
We examine the inverse problem of determining the shape of some unknown portion of the boundary of a...
This paper investigates the inverse problems of simultaneous reconstruction of time-dependent therma...
International audienceWe prove a logarithmic stability estimate for the inverse problem of determini...
This work was carried out when the first and the third authors was visiting Professors at Laboratoir...
We consider the inverse problem of determining the shape of some inaccessible portion of the boundar...
International audienceThis work deals with an inverse boundary value problem arising from the equati...
AbstractWe consider the initial boundary value problem for the heat equation in a region with infini...
On the basis of A. N. Tikhonov’s regularization theory, a method is developed for solving inverse he...
AbstractThis paper describes the reconstruction of the heat transfer coefficient (space, Problem I, ...
AbstractAdomian's decomposition approach is employed for solving some inverse boundary value problem...
The inverse heat conduction problem also frequently referred as the sideways heat equation, in shor...
International audienceWe consider an inverse boundary value problem for the heat equation on the int...