Numerical methods for a Poisson-Nernst-Planck-Fermi model of biological ion channels

JL Liu, B Eisenberg - Physical Review E, 2015 - APS
Numerical methods are proposed for an advanced Poisson-Nernst-Planck-Fermi (PNPF)
model for studying ion transport through biological ion channels. PNPF contains many more …

A quantum corrected energy-transport model for nanoscale semiconductor devices

RC Chen, JL Liu - Journal of Computational Physics, 2005 - Elsevier
An energy transport model coupled with the density gradient method as quantum
mechanical corrections is proposed and numerically investigated. This new model is …

Electric energy conversion systems: wave energy and hydropower

K Thorburn - 2006 - diva-portal.org
Abstract Thorburn, K. 2006. Electric Energy Conversion Systems: Wave Energy and
Hydropower. Acta Universitatis Upsaliensis. Digital Comprehensive Summaries of Uppsala …

Transient electrohydrodynamic flow with concentration-dependent fluid properties: Modelling and energy-stable numerical schemes

G Linga, A Bolet, J Mathiesen - Journal of Computational Physics, 2020 - Elsevier
Transport of electrolytic solutions under influence of electric fields occurs in phenomena
ranging from biology to geophysics. Here, we present a continuum model for single-phase …

Time stepping finite element analysis of a variable speed synchronous generator with rectifier

K Thorburn, KE Karlsson, A Wolfbrandt, M Eriksson… - Applied energy, 2006 - Elsevier
Several applications for renewable energy conversion make use of variable speed
generators. A conversion from variable frequency to grid frequency is therefore essential …

Energy transport in semiconductor devices

A Jüngel - Mathematical and Computer Modelling of Dynamical …, 2010 - Taylor & Francis
The modelling, analysis and numerical approximation of energy-transport models for
semiconductor devices are reviewed. The derivation of the partial differential equations from …

An accelerated monotone iterative method for the quantum-corrected energy transport model

RC Chen, JL Liu - Journal of Computational Physics, 2008 - Elsevier
A non-stationary monotone iterative method is proposed and analyzed for the quantum-
corrected energy transport model in nanoscale semiconductor device simulation. For the …

Electrohydrodynamic channeling effects in narrow fractures and pores

A Bolet, G Linga, J Mathiesen - Physical Review E, 2018 - APS
In low-permeability rock, fluid and mineral transport occur in pores and fracture apertures at
the scale of micrometers and below. At this scale, the presence of surface charge, and a …

[PDF][PDF] An iterative method for finite-element solutions of the nonlinear Poisson-Boltzmann equation

RC Chen - WSEAS Transactions on Computers, 2008 - researchgate.net
A finite-element (FE) approach combined with an efficient iterative method have been used
to provide a numerical solution of the nonlinear Poisson-Boltzmann equation. The iterative …

Adaptation in coupled problems

C Vokas, M Kasper - … -The international journal for computation and …, 2010 - emerald.com
Purpose–The purpose of this paper is to address the formulation, implementation, and
adaptation of closely coupled multi‐physics problems with h‐and p‐adaptive finite element …