Two different kinds of frequency-domain inverse problems for nonlinear media are considered. In the first problem, the linear permittivity and the nonlinear parameter for a stratified slab of a Kerr-like medium are reconstructed as functions of the position from reflection and transmission data...

Wave-splitting of Maxwell's equations on a curved surface in three-dimension is derived from the conditions for out-going and in-coming waves. The condition for out-going wave is used to derive an absorbing boundary condition on a non-planar surface. A local approximation of the absorbing...

A time domain wave-splitting approach to the inverse problem for a hyperbolic differential equation in an inhomogeneous half-space is considered (the wave velocity is assumed to be constant). A layer stripping method is used to reconstruct the parameter in a non-iterative way, using the...

This work investigates the inverse problem of reconstructing a spacewise dependent heat source in the parabolic heat equation using a final temperature measurement. Such problem has important application in a large field of applied science. On the basis of the optimal control framework, the...

This paper presents an iterative alternating algorithm for solving an inverse problem in linear elasticity. A relaxation procedure is developed in order to increase the rate of convergence of the algorithm and two selection criteria for the variable relaxation factors are provided. The boundary...

We consider the inverse problem of identifying a Robin coefficient by performing measurement on some part of the boundary. After turning the inverse problem to an optimisation one by using a Kohn and Vogelius cost function, we study the stability of this method and present some numericals...

Mathematical model of vertical electrical sounding by using resistivity method is studied. The model leads to an inverse problem of determination of the unknown leading coefficient (conductivity) of the elliptic equation in R2 in a slab. The direct problem is obtained in the form of mixed BVP in...

An inverse problem is formulated to determine water capacity of porous media. Mathematical model of the problem involves a nonlinear parabolic equation in which the coefficient representing water capacity is unknown and to be determined from over specified data measured on the boundary. By using...

In this paper a method is presented which allows for estimation of the location and rate of an unknown point stationary source of passive atmospheric pollutant in a complex urban geometry. The variational formulation is used in which the cost function characterizing difference of the calculated...