23 citations · 35 across the 22 of their papers we have counts for
8 papers · 1 filter
Numerical Algorithms for Partially Segregated Elliptic Systems
Farid Bozorgnia, Avetik Arakelyan, Vyacheslav Kungurtsev +1
We develop numerical methods for elliptic systems governed by a ternary partial-segregation constraint, in which three nonnegative components are required to have a vanishing point…
Graph Based Semi-supervised Learning Using Spatial Segregation Theory
Farid Bozorgnia, Morteza Fotouhi, Avetik Arakelyan +1
In this work we address graph based semi-supervised learning using the theory of the spatial segregation of competitive systems. First, we define a discrete counterpart over connec…
Numerical approximations of chromatographic models
Farid Bozorgnia, Sonia Seyed Allaei
A numerical scheme based on modified method of characteristics with adjusted advection (MMOCAA) is proposed to approximate the solution of the system liquid chromatography with mul…
The Infinity Laplacian eigenvalue problem: reformulation and a numerical scheme
Farid Bozorgnia, Leon Bungert, Daniel Tenbrinck
In this work, we present an alternative formulation of the higher eigenvalue problem associated to the infinity Laplacian, which opens the door for numerical approximation of eigen…
The first eigenvalue and eigenfunction of a nonlinear elliptic system
Farid Bozorgnia, Seyyed Abbas Mohammadi, Tomas Vejchodsky
In this paper, we study the first eigenvalue of a nonlinear elliptic system involving -Laplacian as the differential operator. The principal eigenvalue of the system and the cor…
A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate
Farid Bozorgnia, Jan Valdman
This paper is concerned with the two--phase obstacle problem, a type of a variational free boundary problem. We recall the basic estimates of Repin and Valdman (2015) and verify th…
Numerical Algorithms for a Variational Problem of the Spatial Segregation of Reaction-Diffusion Systems
Avetik Arakelyan, Farid Bozorgnia
In this paper, we study a numerical approximation for a class of stationary states for reaction-diffusion system with m densities having disjoint support, which are governed by a m…
Numerical Approximation of One Phase Quadrature Domains
Mahmoudreza Bazarganzadeh, Farid Bozorgnia
In this work, we present two numerical schemes for a free boundary problem called one phase quadrature domain. In the first method by applying the proprieties of given free boundar…