INVERSION OF THE STAR TRANSFORM Fan Zhao Vadim A. Markel We define the star transform as a generalization of the broken ray transform for image reconstruction in single scattering tomography. Using the star transform provides advantages including possibility to reconstruct the absorption and the scattering coefficients of the medium separately and simultaneously. We derive the star transform fr...

This paper deals with an inverse problem of simultaneously determining the dispersion coefficients and the space-dependent source magnitude in 2D advection dispersion equation with finite observations at the final time. The forward problem is solved by using the alternating direction implicit (ADI) finite difference scheme, and then the optimal perturbation algorithm with the regularization par...

The problem of determining a current density confined to a volume from measurements of the magnetic and electric fields it produces exterior to that volume is known to have nonunique solutions. Despite the nonuniqueness of the inversion we show that one may nevertheless uniquely determine certain moments of the vector spherical harmonic expansion of the current. It is demonstrated that the dete...

a dynamic two dimensional problem of thermoelasticity with double porous structure has been considered to investigate the disturbance due to normal force and thermal source. laplace and fourier transform technique is applied to the governing equations to solve the problem. the transformed components of stress and temperature distribution are obtained .the resulting expressions are obtained in t...

We have read with great interest the paper entitled " 3D inversion of gravity and magnetic data with depth resolution " by Fedi and Rapolla. We realize that many discussions we had with one of the authors had not resolved our differences and, therefore, we are writing this comment to document out concerns regarding the authors' conclusion that the upward-continued gravity or magnetic data conta...

We introduce an inversion algorithm for tomographic images of layered media. The algorithm is based on a multiscattering series expansion of the Green function that, unlike the Born series, converges unconditionally. Our inversion algorithm obtains images of the medium that improves iteratively as we use more and more terms in the multiscattering series. We present the derivation of the multisc...

Methods for the numerical inversion of a Laplace transform F(s) which use a special bilinear transformation of s are particularly eeective in many cases and are widely used. The main purpose of this paper is to analyze the convergence and conditioning properties of a special class of such methods, characterized by the use of Lagrange interpolation. The results derived apply both to complex and ...

This paper deals with the solution of Maxwell's equations to model electromagnetic fields in case a layered earth. The integrals involved are approximated by means novel approach based on splitting reflection term. inverse problem, consisting computation unknown underground conductivity distribution from set modeled magnetic field components, is also considered. Two optimization algorithms appl...