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A Discontinuous Galerkin Method for Biharmonic Dirichlet Control Problems With Patch Reconstruction
Wei Gong, Ruo Li, Jun Yin
In this paper, we present and analyze an interior penalty discontinuous Galerkin method for Dirichlet boundary control problems governed by the biharmonic equation, with the contro…
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…