5 papers
Explicit Discrete Solution for Some Optimization Problems and Estimations with Respect to the Exact Solution
Julieta Bollati, Mariela C. Olguin, Domingo A. Tarzia
We consider two steady-state heat conduction systems called, and , in a multidimensional bounded domain for the Poisson equation with source energy . In one system…
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…
Relationship among solutions for three-phase change problems with Robin, Dirichlet, and Neumann boundary conditions
Julieta Bollati, MarÃa Fernanda Natale, José Abel Semitiel +1
This study investigates the melting process of a three-phase Stefan problem in a semi-infinite material, imposing a convective boundary condition at the fixed face. By employing a…
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…