7 citations · 14 across the 15 of their papers we have counts for
8 papers · 1 filter
Mathematics for energy systems: Methods, modeling strategies, and simulation
Nicklas Jävergård, Grigor Nika, Adrian Muntean
We offer an insight into our mathematical endeavors, which aim to advance the foundational understanding of energy systems in a broad context, encompassing facets such as charge tr…
Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems: Simulation results
Nicolae Suciu, Surendra Nepal, Yosief Wondmagegne +2
This work presents global random walk approximations of solutions to one-dimensional Stefan-type moving-boundary problems. We are particularly interested in the case when the movin…
Precomputing approach for a two-scale phase transition model
Michael Eden, Tom Freudenberg, Adrian Muntean
In this study, we employ analytical and numerical techniques to examine a phase transition model with moving boundaries. The model displays two relevant spatial scales pointing out…
Pattern formation in three-state systems: Towards understanding morphology formation in the presence of evaporation
Emilio N. M. Cirillo, Rainey Lyons, Adrian Muntean +1
Inspired by experimental evidence collected when processing thin films from ternary solutions made of two solutes, typically polymers, and one solvent, we computationally study the…
A Bound Preserving Energy Stable Scheme for a Nonlocal Cahn-Hilliard Equation
Rainey Lyons, Grigor Nika, Adrian Muntean
We present a finite-volume based numerical scheme for a nonlocal Cahn-Hilliard equation which combines ideas from recent numerical schemes for gradient flow equations and nonlocal…
Thermo-Elasticity Problems with Evolving Microstructures
Michael Eden, Adrian Muntean
We consider the mathematical analysis and homogenization of a moving boundary problem posed for a highly heterogeneous, periodically perforated domain. More specifically, we are lo…