3 papers
math.NA2026
Energy dissipation and stability of a finite-volume scheme for two-phase flow models with dynamic capillary pressure
Ansgar Jüngel, Josipa-Pina Milišić, Sara Xhahysa
An implicit Euler finite-volume scheme for degenerate pseudo-parabolic cross-diffusion equations is proposed and analyzed. The system describes the dynamics of an unsaturated two-p…
math.NA2026
A convergent Scharfetter-Gummel scheme for a three-species drift-diffusion model for memristors
Ansgar Jüngel, Zhiwei Sun, Sara Xhahysa
A structure-preserving fully implicit Scharfetter-Gummel finite-volume scheme for a three-species drift-diffusion model for semiconductors is proposed and analyzed. The equations d…
math.AP2026
Multiphase cross-diffusion models for tissue structures: modeling, analysis, numerics
Ansgar Jüngel, Cordula Reisch, Sara Xhahysa
Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures a…