Global Random Walk Solutions for Flow and Transport in Porous Media
AbstractThis article presents a new approach to solve the equations of flow in heterogeneous porous media by using random walks…
book chapter
Ergodic simulations of diffusion in random velocity fields
AbstractErgodic simulations aim at estimating ensemble average characteristics of diffusion in random fields from space averages. The traditional approach, based…
Global random walk algorithm for diffusion processes
AbstractThe Global Random Walk algorithm (GRW) performs the simultaneous tracking on a fixed grid of large collections of particles, while…
Ergodic Estimations of Upscaled Coefficients for Diffusion in Random Velocity Fields
AbstractUpscaled coefficients for diffusion in ergodic velocity fields are derived by summing up correlations of increments of the position process,…
Publications
On high-order conforming finite element methods for ill-posed Helmholtz problems
Abstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first review the conditional stability of this problem and then discuss…
Read More On the Durrmeyer-type variant and generalizations of Lototsky–Bernstein operators
Abstract The starting points of the paper are the classic Lototsky–Bernstein operators. We present an integral Durrmeyer-type extension and investigate some approximation properties of this new class. The evaluation of…
Read More Tikhonov regularization of a perturbed heavy ball system with vanishing damping
AbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection to the minimization problem of a convex Fréchet differentiable function.…
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