A unified, Bayesian inference of midplane electron temperature and density profiles using both Thomson scattering (TS) and interferometric data is presented. Beyond the Bayesian nature of the analysis, novel features of the inference are the use of a Gaussian process prior to infer a mollification length-scale of inferred profiles and the use of Gauss-Laguerre quadratures to directly calculate ...

An inverse problem associated with the mass transport of a material concentration down a pipe where the flowing non-Newtonian medium has a two-dimensional velocity profile is examined. The problem of determining the two-dimensional fluid velocity profile from temporally varying cross-sectional average concentration measurements at upstream and downstream locations is considered. The special cas...

We consider the variational formulation of both geometrically linear and geometrically nonlinear elasto-plasticity subject to a class of hard single-slip conditions. Such side conditions typically render the associated boundary-value problems non-convex. We show that, for a large class of non-smooth plastic distortions, a given single-slip condition (specification of Burgers vectors) can be rel...

This study examined a Cauchy problem for multi-dimensional Laplace equation with mixed boundary. is severely ill-posed in the sense of Hadamard. To solve this problem, mollification approach suggested based on bilateral exponential kernel and new approach. The stable error estimates are obtained under priori posteriori rule, which numerical findings much influenced by unknown information. An es...

This paper is focused on the inverse problem of identifying space-dependent source function and initial value time fractional nonhomogeneous diffusion-wave equation from noisy final measured data in a multi-dimensional case. A mollification regularization method based bilateral exponential kernel presented to solve ill-posedness for first time. Error estimates are obtained with an priori strate...