Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport
Author:
Funder
FWF
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s40314-019-0882-9.pdf
Reference33 articles.
1. Barrett J, Blowey J (2004) Finite element approximation of a nonlinear cross-diffusion population model. Numer Math 98:195–221
2. Bruna M, Chapman J (2014) Diffusion of finite-size particles in confined geometries. Bull Math Biol 76:947–982
3. Burger M, Di Francesco M, Pietschmann J-F, Schlake B (2010) Nonlinear cross-diffusion with size exclusion. SIAM J Math Anal 42:2842–2871
4. Burger M, Schlake B, Wolfram M-T (2012) Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries. Nonlinearity 25:961–990
5. Cancès C, Chainais-Hillairet C, Gerstenmayer A, Jüngel A (2019) Convergence of a finite-volume scheme for a degenerate cross-diffusion model for ion transport. Num Meth Partial Diff Eqs 35:545–575
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1. Finite volumes for the Stefan–Maxwell cross-diffusion system;IMA Journal of Numerical Analysis;2023-06-05
2. Finite Volumes for a Generalized Poisson-Nernst-Planck System with Cross-Diffusion and Size Exclusion;Springer Proceedings in Mathematics & Statistics;2023
3. A convergent finite volume scheme for dissipation driven models with volume filling constraint;Numerische Mathematik;2022-02-28
4. A Convergent Entropy Diminishing Finite Volume Scheme for a Cross-Diffusion System;SIAM Journal on Numerical Analysis;2020-01
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