4 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…
Adaptive time-stepping for the Super-Droplet Method Monte Carlo collision-coalescence scheme
Emma Ware, Piotr Bartman-Szwarc, Adele L. Igel +1
We present an analysis of an adaptive time-stepping scheme for the Super-Droplet Method (SDM), a Monte Carlo algorithm for simulating particle coagulation. SDM represents cloud dro…
Hybrid subgradient and simulated annealing method for hemivariational inequalities
Piotr Bartman-Szwarc, Adil M. Bagirov, Anna Ochal
In this paper, we employ a global aggregate subgradient method for the numerical solution of hemivariational inequality problems arising in contact mechanics. The method integrates…
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 …