Coupled systems of differential-algebraic equations (DAEs) may suffer from instabilities
during a dynamic iteration. We extend the existing analysis on recursion estimates, error …

The aim of this paper is to present and study new linearized conservative schemes with finite
element approximations for the Nernst–Planck–Poisson equations. For the linearized …

This treatise was written during my employment at the Chair of Angewandte Mathematik und
Numerische Analysis of the Bergische Universität Wuppertal and my post-graduate research …

In this paper, a linearized local conservative mixed finite element method is proposed and
analyzed for Poisson–Nernst–Planck (PNP) equations, where the mass fluxes and the …

In this study, a linearized locally conservative scheme, based on using a weak Galerkin
(WG)-mixed finite element method (MFEM), is developed for the Poisson–Nernst–Planck …

In this work, we propose and analyze a second-order accurate numerical scheme, both in
time and space, for the multi-dimensional Poisson-Nernst-Planck system. Linearized stability …

It is still a challenging task to get a satisfying numerical solution to the time-dependent
Nernst-Planck (NP) equation, which satisfies the following three physical properties: solution …

Multiphysical simulations become increasingly important for engineering applications due to
the high accuracy of domain-specific modeling and numerical simulations; effects that were …

Este trabajo presenta y analiza esquemas linealizados y conservativos para las ecuaciones
de Poisson-Nernst-Planck (PNP), empleando aproximaciones de elementos finitos en las …