2 papers
math.NA2026
A ϕ-FEM approach for time-dependent domains with unfitted meshes
Michel Duprez, Johan Marguet, Alexei Lozinski +1
In this work, we propose an unfitted finite element scheme to approximate the solution of the heat equation on moving domains. We use the ϕ-FEM paradigm in which the computational…
math.NA2025
Numerical Approaches for non-local Transport-Dominated PDE Models with Applications to Biology
Johan Marguet, Raluca Eftimie, Alexei Lozinski
Transport-dominated partial differential equation models have been used extensively over the past two decades to describe various collective migration phenomena in cell biology and…