33 citations · 66 across the 10 of their papers we have counts for
10 papers
Parallel two-scale finite element implementation of a system with varying microstructures
Omar Richardson, Omar Lakkis, Adrian Muntean +1
We propose a two-scale finite element method designed for heterogeneous microstructures. Our approach exploits domain diffeomorphisms between the microscopic structures to gain com…
Deterministic model of battery, uphill currents and non-equilibrium phase transitions
Emilio N. M. Cirillo, Matteo Colangeli, Omar Richardson +1
We consider point particles in a table made of two circular cavities connected by two rectangular channels, forming a closed loop under periodic boundary conditions. In the first c…
Deterministic reversible model of non-equilibrium phase transitions and stochastic counterpart
Emilio N. M. Cirillo, Matteo Colangeli, Adrian Muntean +2
N point particles move within a billiard table made of two circular cavities connected by a straight channel. The usual billiard dynamics is modified so that it remains determinist…
Modelling interactions between active and passive agents moving through heterogeneous environments
Matteo Colangeli, Adrian Muntean, Omar Richardson +1
We study the dynamics of interacting agents from two distinct inter-mixed populations: One population includes active agents that follow a predetermined velocity field, while the s…
A semidiscrete Galerkin scheme for a coupled two-scale elliptic-parabolic system: well-posedness and convergence approximation rates
Martin Lind, Adrian Muntean, Omar Richardson
In this paper, we study the numerical approximation of a coupled system of elliptic-parabolic equations posed on two separated spatial scales. The model equations describe the inte…
Driven particle flux through a membrane: Two-scale asymptotics of a diffusion equation with polynomial drift
Emilio N. M. Cirillo, Ida de Bonis, Adrian Muntean +1
Diffusion of particles through an heterogenous obstacle line is modeled as a two-dimensional diffusion problem with a one--directional nonlinear convective drift and is examined us…
The effect of environment knowledge in evacuation scenarios involving fire and smoke - a multiscale modelling and simulation approach
Omar Richardson, Andrei Jalba, Adrian Muntean
We study the evacuation dynamics of a crowd evacuating from a complex geometry in the presence of a fire as well as of a slowly spreading smoke curtain. The crowd is composed of tw…
Well-posedness and inverse Robin estimate for a multiscale elliptic/parabolic system
Martin Lind, Adrian Muntean, Omar Richardson
We establish the well-posedness of a coupled micro-macro parabolic-elliptic system modeling the interplay between two pressures in a gas-liquid mixture close to equilibrium that is…
Large-scale multiscale particle models in inhomogeneous domains: modelling and implementation
Omar Richardson
In this thesis, we develop multiscale models for particle simulations in population dynamics. These models are characterised by prescribing particle motion on two spatial scales: m…
Discrete and continuum links to a nonlinear coupled transport problem of interacting populations
Manh Hong Duong, Adrian Muntean, Omar Richardson
We are interested in exploring interacting particle systems that can be seen as microscopic models for a particular structure of coupled transport flux arising when different popul…