We deal with a variational approach to the inverse crack problem, that is the detection and reconstruction of cracks, and other defects, inside a conducting body by performing boundary measurements of current and voltage type. We formulate such an inverse problem in a free-discontinuity problems framework and propose a novel method for the numerical reconstruction of the cracks by the available boundary data. The proposed method is amenable to numerical computations and it is justified by a convergence analysis, as the error on the measurements goes to zero. We further notice that we use the Γ-convergence approximation of the Mumford-Shah functional due to Ambrosio and Tortorelli as the required regularization term. Copyright © 2008 Cambrid...
This paper develops an algorithm for recovering a collection of linear cracks in a homogeneous elect...
A new regularisation scheme is proposed for the solution of the inverse scattering problem arising i...
We study the inverse conductivity problem with discontinuous conductivities. We consider, simultaneo...
We deal with a variational approach to the inverse crack problem, that is the detection and reconstr...
We consider a conducting body which presents some (unknown) perfectly insulating defects, such as cr...
AbstractWe consider a conducting body which presents some (unknown) perfectly insulating defects, su...
We numerically implement the variational approach for reconstruction in the inverse crack and cavity...
We numerically implement the variational approach for reconstruction in the inverse crack and cavity...
We treat the inverse problem of determining material losses, such as cavities, in a conducting body,...
We examine the problem of Identifying both the location and constitutive law governing electrical cu...
AbstractWe treat the inverse problem of determining material losses, such as cavities, in a conducti...
"We review the variational approach to the inverse conductivity problem, in the case of discontinuou...
We prove a stability estimate for the inverse problem of cracks under essentially minimal regularity...
An algorithm for recovering a collection of linear cracks in a homogeneous electrical conductor from...
This paper develops a fast algorithm for locating one or more perfectly insulating, pair-wise disjoi...
This paper develops an algorithm for recovering a collection of linear cracks in a homogeneous elect...
A new regularisation scheme is proposed for the solution of the inverse scattering problem arising i...
We study the inverse conductivity problem with discontinuous conductivities. We consider, simultaneo...
We deal with a variational approach to the inverse crack problem, that is the detection and reconstr...
We consider a conducting body which presents some (unknown) perfectly insulating defects, such as cr...
AbstractWe consider a conducting body which presents some (unknown) perfectly insulating defects, su...
We numerically implement the variational approach for reconstruction in the inverse crack and cavity...
We numerically implement the variational approach for reconstruction in the inverse crack and cavity...
We treat the inverse problem of determining material losses, such as cavities, in a conducting body,...
We examine the problem of Identifying both the location and constitutive law governing electrical cu...
AbstractWe treat the inverse problem of determining material losses, such as cavities, in a conducti...
"We review the variational approach to the inverse conductivity problem, in the case of discontinuou...
We prove a stability estimate for the inverse problem of cracks under essentially minimal regularity...
An algorithm for recovering a collection of linear cracks in a homogeneous electrical conductor from...
This paper develops a fast algorithm for locating one or more perfectly insulating, pair-wise disjoi...
This paper develops an algorithm for recovering a collection of linear cracks in a homogeneous elect...
A new regularisation scheme is proposed for the solution of the inverse scattering problem arising i...
We study the inverse conductivity problem with discontinuous conductivities. We consider, simultaneo...