Name
Abstract | ||
|---|---|---|
We propose and compare two classes of convergent finite element based approximations of the nonstationary Nernst–Planck–Poisson equations, whose constructions are motivated from energy versus entropy decay properties for the limiting system. Solutions of both schemes converge to weak solutions of the limiting problem for discretization parameters tending to zero. Our main focus is to study qualitative properties for the different approaches at finite discretization scales, like conservation of mass, non-negativity, discrete maximum principle, decay of discrete energies, and entropies to study long-time asymptotics. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/s00211-008-0194-2 | Numerische Mathematik |
Keywords | Field | DocType |
discrete maximum principle,main focus,convergent finite element,poisson system,convergent discretizations,poisson equation,discrete energy,different approach,long-time asymptotics,finite discretization scale,entropy decay property,discretization parameter,weak solution,finite element | Discretization,Mathematical optimization,Maximum principle,Mathematical analysis,Finite element method,Poisson distribution,Planck,Asymptotic analysis,Mathematics,Conservation of mass,Nernst equation | Journal |
Volume | Issue | ISSN |
111 | 4 | 0945-3245 |
Citations | PageRank | References |
10 | 1.47 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andreas Prohl | 1 | 302 | 67.29 |
| Markus Schmuck | 2 | 10 | 1.47 |