22 citations · 253 across the 65 of their papers we have counts for
74 papers
Finite Element Approximation of a Hemivariational Inequality for Steady-State Heat Conduction: Double-Limit Convergence of Penalization and Discretization
Piotr Bartman-Szwarc, Anna Ochal, Domingo A. Tarzia
In this paper we study the numerical approximation and convergence analysis of a steady-state heat conduction problem with mixed boundary conditions. The physical model is governed…
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, María 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…
A new penalty method for elliptic quasivariational inequalities
Piotr Bartman-Szwarc, Anna Ochal, Mircea Sofonea +1
We consider a class of elliptic quasivariational inequalities in a reflexive Banach space for which we recall a convergence criterion obtained in [10]. Each inequality …
A class of elliptic mixed boundary value problems with -Laplacian: existence, comparison and optimal control
Shengda Zeng, Stanislaw Migorski, Domingo A. Tarzia +2
The paper deals with two nonlinear elliptic equations with -Laplacian and the Dirichlet-Neumann-Dirichlet (DND) boundary conditions, and Dirich\-let-Neu\-mann-Neumann (DNN)…
A Convergence Criterion for Elliptic Variational Inequalities
Claudia Gariboldi, Anna Ochal, Mircea Sofonea +1
We consider an elliptic variational inequality with unilateral constraints in a Hilbert space which, under appropriate assumptions on the data, has a unique solution . We fo…
Modelling, Analysis and Numerical Simulation of a Spring-Rods System with Unilateral Constraints
Anna Ochal, Wiktor Prządka, Mircea Sofonea +1
In this paper we consider a mathematical model which describes the equilibrium of two elastic rods attached to a nonlinear spring. We derive the variational formulation of the mode…
Numerical analysis of a family of simultaneous distributed-boundary mixed elliptic optimal control problems and their asymptotic behaviour through a commutative diagram and error estimates
Carolina M. Bollo, Claudia M. Gariboldi, Domingo A. Tarzia
In this paper, we consider a family of simultaneous distributed-boundary optimal control problems () on the internal energy and the heat flux for a system governed by a mixed…
Explicit solutions related to the Rubinstein binary-alloy solidification problem with a heat flux or a convective condition at the fixed face
Lucas D. Venturato, Mariela B. Cirelli, Domingo A. Tarzia
Similarity solutions for the two-phase Rubinstein binary-alloy solidification problem in a semi-infinite material are developed. These new explicit solutions are obtained by consid…
A Class of Moving Boundary Problems with a Source Term. Application of a Reciprocal Transformation
Adriana C. Briozzo, Colin Rogers, Domingo A. Tarzia
We consider a new Stefan-type problem for the classical heat equation with a latent heat and phase-change temperature depending of the variable time. We prove the equivalence of th…
Explicit solution for non-classical one-phase Stefan problem with variable thermal coefficients and two different heat source terms
Julieta Bollati, María F. Natale, José A. Semitiel +1
A one-phase Stefan problem for a semi-infinite material is investigated for special functional forms of the thermal conductivity and specific heat depending on the temperature of t…
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…
Distributed optimal control problems for a class of elliptic hemivariational inequalities with a parameter and its asymptotic behavior
Claudia M. Gariboldi, Domingo A. Tarzia
In this paper, we study optimal control problems on the internal energy for a system governed by a class of elliptic boundary hemivariational inequalities with a parameter. The sys…
Existence, comparison, and convergence results for a class of elliptic hemivariational inequalities
Claudia M. Gariboldi, Stanisław Migórski, Anna Ochal +1
In this paper we study a class of elliptic boundary hemivariational inequalities which originates in the steady-state heat conduction problem with nonmonotone multivalued subdiffer…
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…
About the Convergence of a Family of Initial Boundary Value Problems for a Fractional Diffusion Equation with Robin Conditions
Isolda Cardoso, Sabrina D. Roscani, Domingo A. Tarzia
We consider a family of initial boundary value problems governed by a fractional diffusion equation with Caputo derivative in time, where the parameter is the Newton heat transfer…
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…
Neumann boundary optimal control problems governed by parabolic variational equalities
C. M. Bollo, C. M. Gariboldi, D. A. Tarzia
We consider a heat conduction problem with mixed boundary conditions in a -dimensional domain with regular boundary and a family of problems with also mixed bounda…
Tykhonov Well-posedness of a Heat Transfer Problem with Unilateral Constraints
Mircea Sofonea, Domingo A. Tarzia
We consider an elliptic boundary value problem with unilateral constraints and subdifferential boundary conditions. The problem describes the heat transfer in a domain $D\subset\R^…
The similarity method and explicit solutions for the fractional space one-phase Stefan problems
S. D. Roscani, D. A. Tarzia, L. Venturato
In this paper we obtain self-similarity solutions for a one-phase one-dimensional fractional space one-phase Stefan problem in terms of the three parametric Mittag-Leffer function…
Optimal control of differential quasivariational inequalities with applications in contact mechanics
Mircea Sofonea, Julieta Bollati, Domingo A. Tarzia
We consider a differential quasivariational inequality for which we state and prove the continuous dependence of the solution with respect to the data. This convergence result allo…