An Energy Stable and Positivity-Preserving Scheme for the Maxwell--Stefan Diffusion System
SIAM Journal on Numerical Analysis, 2021•SIAM
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.
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.
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.
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