1 citations · 1 across the 5 of their papers we have counts for
6 papers
A reconstructed discontinuous approximation for distributed elliptic control problems
Ruo Li, Haoyang Liu, Jun Yin
In this paper, we present and analyze an interior penalty discontinuous Galerkin method for the distributed elliptic optimal control problems. It is based on a reconstructed discon…
Efficient Long-Time Simulations of Multiscale Systems via High-Order Numerical Homogenization
Bojin Chen, Zeyu Jin, Ruo Li
By a high-order numerical homogenization method, a heterogeneous multiscale scheme was developed in Jin & Li (2022) for evolving differential equations containing two time scales.…
Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach
Ruo Li, Shengtong Liang, Zhonghua Qiao
The Cahn-Hilliard equation with Flory-Huggins potential serves as a fundamental phase field model for describing phase separation phenomena. Due to the presence of logarithmic sing…
Mixing for generic passive scalars by incompressible flows
Zeyu Jin, Ruo Li
Mixing by incompressible flows is a ubiquitous yet incompletely understood phenomenon in fluid dynamics. While previous studies have focused on optimal mixing rates, the question o…
Lax Equivalence for Hyperbolic Relaxation Approximations
Zeyu Jin, Ruo Li
This paper investigates the zero relaxation limit for general linear hyperbolic relaxation systems and establishes the asymptotic convergence of slow variables under the unimprovab…
Natural Model Reduction for Kinetic Equations
Zeyu Jin, Ruo Li
A promising approach to investigating high-dimensional problems is to identify their intrinsically low-dimensional features, which can be achieved through recently developed techni…