13 citations · 55 across the 10 of their papers we have counts for
10 papers
Regularization operators for identifying the unknown source in the time-fractional convection-diffusion-reaction equation
Guillermo Federico Umbricht, Diana Rubio
This article presents a mathematical study of the problem of identifying a time-dependent source term in transport processes described by a timefractional parabolic equation, based…
Theoretical analysis of a two-dimensional bilayer convection-diffusion-reaction-source problem
Guillermo Federico Umbricht, Diana Rubio, Domingo Alberto Tarzia
This work investigates the two-dimensional thermal behavior of a bilayer medium subject to both internal and external heat sources. The model incorporates diffusion, advection, and…
Analytical and Numerical Study of a Convection-Diffusion-Reaction-Source Problem in Multilayered Materials
Guillermo Federico Umbricht, Domingo Alberto Tarzia, Diana Rubio
In this work, a thermal energy transfer problem in a one-dimensional multilayer body is theoretically analyzed, considering diffusion, advection, internal heat generation or loss l…
Bilayer one-dimensional Convection-Diffusion-Reaction-Source problem. Analytical and numerical solution
Guillermo Federico Umbricht, Diana Rubio, Domingo Alberto Tarzia
This article presents a theoretical analysis of a one-dimensional heat transfer problem in two layers involving diffusion, advection, internal heat generation or loss linearly depe…
Regularization Techniques for Estimating the Source in a Complete Parabolic Equation in
Guillermo Federico Umbricht, Diana Rubio
In this article, the problem of identifying the source term in transport processes given by a complete parabolic equation is studied mathematically from noisy measurements taken at…
Optimal Estimation of Thermal Diffusivity in an Energy Transfer Problem
Guillermo Federico Umbricht, Diana Rubio
This work focuses on determining the coefficient of thermal diffusivity in a one-dimensional heat transfer process along a homogeneous and isotropic bar, embedded in a moving fluid…
Heat transfer process with solid-solid interface: Analytical and numerical solutions
Diana Rubio, Domingo A. Tarzia, Guillermo F. Umbricht
This work is aimed at the study and analysis of the heat transport on a metal bar of length with a solid-solid interface. The process is assumed to be developed along one direc…
Estimation of a Thermal Conductivity in a Stationary Heat Transfer Problem with a Solid-Solid Interface
Guillermo Federico Umbricht, Diana Rubio, Domingo Alberto Tarzia
An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic…
Estimation Technique for a Contact Point Between two Materials in a Stationary Heat Transfer Problem
Guillermo Federico Umbricht, Diana Rubio, Domingo Alberto Tarzia
An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, of negligible diameter, made up of two consecutive sections…
Data preprocessing for parameter estimation. An application to a reactive bimolecular transport model
Daniel A. Cuch, Diana Rubio, Claudio D. El Hasi
In this work we are concerned with the inverse problem of the estimation of modeling parameters for a reactive bimolecular transport based on experimental data that is non-uniforml…