In this paper, regularization combined with a preconditioning strategy is used to solve the
illconditioned linear system obtained from the approximation of the inverse Cauchy problem …

Data completion known as Cauchy problem is one most investigated inverse problems. In
this work we consider a Cauchy problem associated with Helmholtz equation. Our …

In this paper, two relaxation algorithms on the Dirichlet Neumann boundary condition, for
solving the Cauchy problem governed to the Modified Helmholtz equation are presented …

In this work, an inverse problem in linear elasticity is considered, it is about reconstructing
the unknown boundary conditions on a part of the boundary based on the other boundaries …

This paper discusses the recovering of both Dirichlet and Neumann data on some part of the
domain boundary, starting from the knowledge of these data on another part of the boundary …

We are interested by an alternating method for an inverse Cauchy problem. Our main results
of this paper consists in exhibiting local error indicators, based on a posteriori analysis, with …

This paper deals with an inverse problem governed by the Helmholtz equation. It consists in
recovering lackingdata on a part of the boundary based on the Cauchy data on the other …

This paper is concerned with the Cauchy problem for the Helmholtz equation. Recently,
some new works asked the convergence of the well‐known alternating iterative method. Our …

In this paper, we are interested in solving a Cauchy inverse problem in linear elasticity. For
this, we propose a new method based on Robin conditions on the inaccessible boundary …

This work deals with domain decomposition like methods for solving an inverse Cauchy
problem governed by Stokes equation. As it is well known, this problem is one of highly ill …