An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system

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.

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

Publisher
Society for Industrial & Applied Mathematics (SIAM)

Journal
SIAM Journal on Numerical Analysis

DOI
10.1137/20m1338666

arXiv
2005.08062

Additional Links
https://epubs.siam.org/doi/10.1137/20M1338666

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2021-11-24 08:36:36
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2021-06-09 06:24:59
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