TY - JOUR
T1 - An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system
AU - Huo, Xiaokai
AU - Liu, Hailiang
AU - Tzavaras, Athanasios
AU - Wang, Shuaikun
N1 - KAUST Repository Item: Exported on 2021-06-10
PY - 2020/5/16
Y1 - 2020/5/16
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/666853
UR - https://arxiv.org/pdf/2005.08062
M3 - Article
JO - Accepted by the SIAM Journal on Numerical Analysis
JF - Accepted by the SIAM Journal on Numerical Analysis
ER -