activity
20172026
most citedCross-diffusion systems and fast-reaction limits

4 citations · 8 across the 21 of their papers we have counts for

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15 papers · 1 filter

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.NA2026

A Bernoulli Phase-Fitted finite difference method with wavenumber-explicit analysis for the Helmholtz problem

Ansgar Jüngel, Panchi Li, Zhiwei Sun +1

A new Bernoulli phase-fitted finite difference method for the Helmholtz equation is introduced, obtained by applying a complexified Scharfetter--Gummel flux to the one-way factors…

math.NA2026

A generalized Scharfetter-Gummel scheme for nonlocal cross-diffusion systems

Ansgar Jüngel, Panchi Li, Zhiwei Sun

An implicit Euler finite-volume scheme for a nonlocal cross-diffusion system on the multidimensional torus is analyzed. The equations describe the dynamics of population species wi…

math.NA2024

Bayesian inversion for the identification of the doping profile in unipolar semiconductor devices

Leila Taghizadeh, Ansgar Jüngel

A rigorous Bayesian formulation of the inverse doping profile problem in infinite dimensions for a stationary linearized unipolar drift-diffusion model for semiconductor devices is…

math.NA2024

Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems

Sergio Gómez, Ansgar Jüngel, Ilaria Perugia

We present and analyze a structure-preserving method for the approximation of solutions to nonlinear cross-diffusion systems, which combines a Local Discontinuous Galerkin spatial…