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math.NA2023
A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system
Chen Liu, Beatrice Riviere, Jie Shen +1
For time-dependent PDEs, the numerical schemes can be rendered bound-preserving without losing conservation and accuracy, by a post processing procedure of solving a constrained mi…
math.NA2023
An efficient and robust SAV based algorithm for discrete gradient systems arising from optimizations
Xinyu Liu, Jie Shen, Xiaongxiong Zhang
We propose in this paper a new minimization algorithm based on a slightly modified version of the scalar auxiliary variable (SAV) approach coupled with a relaxation step and an ada…