2 citations · 5 across the 13 of their papers we have counts for
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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…
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…
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…
Analysis and structure-preserving approximation of a Cahn-Hilliard-Forchheimer system with solution-dependent mass and volume source
Aaron Brunk, Marvin Fritz
We analyze a coupled Cahn-Hilliard-Forchheimer system featuring concentration-dependent mobility, mass source and convective transport. The velocity field is governed by a generali…
Analysis and discretization of the Ohta-Kawasaki equation with forcing and degenerate mobility
Aaron Brunk, Marvin Fritz
The Ohta-Kawasaki equation models the mesoscopic phase separation of immiscible polymer chains that form diblock copolymers, with applications in directed self-assembly for lithogr…
Structure-preserving approximation of the Cahn-Hilliard-Biot system
Aaron Brunk, Marvin Fritz
In this work, we propose a structure-preserving discretisation for the recently studied Cahn-Hilliard-Biot system using conforming finite elements in space and problem-adapted expl…