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An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system
dc.contributor.author | Huo, Xiaokai | |
dc.contributor.author | Liu, Hailiang | |
dc.contributor.author | Tzavaras, Athanasios | |
dc.contributor.author | Wang, Shuaikun | |
dc.date.accessioned | 2021-06-09T06:26:53Z | |
dc.date.available | 2021-01-10T11:51:06Z | |
dc.date.available | 2021-06-09T06:26:53Z | |
dc.date.issued | 2021-09-09 | |
dc.identifier.citation | Huo, X., Liu, H., Tzavaras, A. E., & Wang, S. (2021). An Energy Stable and Positivity-Preserving Scheme for the Maxwell--Stefan Diffusion System. SIAM Journal on Numerical Analysis, 59(5), 2321–2345. doi:10.1137/20m1338666 | |
dc.identifier.doi | 10.1137/20m1338666 | |
dc.identifier.uri | http://hdl.handle.net/10754/666853 | |
dc.description.abstract | We develop a new finite difference scheme for the Maxwell-Stefan diffusion system. The scheme is conservative, energy stable and positivity-preserving. These nice properties stem from a variational structure and are proved by reformulating the finite difference scheme into an equivalent optimization problem. The solution to the scheme emerges as the minimizer of the optimization problem, and as a consequence energy stability and positivity-preserving properties are obtained. | |
dc.publisher | arXiv | |
dc.relation.url | https://arxiv.org/pdf/2005.08062 | |
dc.rights | Archived with thanks to arXiv | |
dc.title | An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system | |
dc.type | Article | |
dc.contributor.department | Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division | |
dc.contributor.department | Applied Mathematics and Computational Science Program | |
dc.identifier.journal | Accepted by the SIAM Journal on Numerical Analysis | |
dc.eprint.version | Post-Print | |
dc.contributor.institution | Iowa State University, Mathematics Department, Ames, IA 500 | |
dc.identifier.arxivid | 2005.08062 | |
kaust.person | Huo, Xiaokai | |
kaust.person | Tzavaras, Athanasios | |
kaust.person | Wang, Shuaikun | |
refterms.dateFOA | 2021-01-10T11:52:03Z | |
dc.date.published-online | 2021-09-09 | |
dc.date.published-print | 2021-01 | |
dc.date.posted | 2020-05-16 |