2 citations · 5 across the 13 of their papers we have counts for
7 papers · 1 filter
Threshold dynamics for subdiffusive grain growth
Marvin Fritz
We propose a new fractional threshold-dynamics algorithm for subdiffusive interface motion and apply it to multiphase grain-growth simulations. The method combines the L1 discretiz…
Generalised dissipative solutions for a non-isothermal phase-field system: existence, weak-strong uniqueness, and long-time behaviour
Aaron Brunk, Marvin Fritz
We study a thermodynamically consistent non-isothermal phase-field system coupling two order parameters and the inverse temperature through a fully non-diagonal Onsager mobility. T…
A four-field auxiliary reformulation of a Cahn-Hilliard time step: Analysis and conforming finite element discretization
Marvin Fritz
We propose a four-field auxiliary reformulation of a time-discrete Cahn-Hilliard step. The construction is motivated by the scalar trace structure underlying two-dimensional Rafets…
Structure-preserving discretization and fingering dynamics of a Cahn-Hilliard model for traction-driven digit morphogenesis
Marvin Fritz
We study a Cahn-Hilliard equation with anisotropic traction flux arising as a reduced continuum model of mechanically biased cell interactions in digit-forming organoids. For a reg…
Global weak solutions of a one-sided degenerate Cahn-Hilliard model for traction-driven digit morphogenesis
Marvin Fritz
We study a one-sided degenerate Cahn-Hilliard equation with anisotropic traction flux, arising as a reduced continuum description of mechanically biased cell interactions in digit-…
An Allen-Cahn equation with jump-diffusion noise for biological damage and repair processes
Andrea Di Primio, Marvin Fritz, Luca Scarpa +1
This paper analyzes a stochastic Allen--Cahn equation for the dynamics of biomolecular damage and repair. The system is driven by two distinct noise processes: a multiplicative cyl…
Review of thermodynamic structures and structure-preserving discretisations of Cahn--Hilliard-type models
Aaron Brunk, Marco F. P. ten Eikelder, Marvin Fritz +2
The Cahn-Hilliard equation and extensions, notably the Cahn-Hilliard-Darcy and Cahn-Hilliard-Navier-Stokes systems, provide widely used frameworks for coupling interfacial thermody…