8 citations · 10 across the 5 of their papers we have counts for
5 papers
Positivity and Maximum Principle Preserving Discontinuous Galerkin Finite Element Schemes for a Coupled Flow and Transport
Shihua Gong, Young-Ju Lee, Yukun Li +1
We introduce a new concept of the locally conservative flux and investigate its relationship with the compatible discretization pioneered by Dawson, Sun and Wheeler [11]. We then d…
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equation with Multiplicative Noise
Yukun Li, Shuonan Wu, Yulong Xing
Wave propagation problems have many applications in physics and engineering, and the stochastic effects are important in accurately modeling them due to the uncertainty of the medi…
Analysis of the Morley element for the Cahn-Hilliard equation and the Hele-Shaw flow
Shuonan Wu, Yukun Li
The paper analyzes the Morley element method for the Cahn-Hilliard equation. The objective is to derive the optimal error estimates and to prove the zero-level sets of the Cahn-Hil…
Error analysis of a fully discrete Morley finite element approximation for the Cahn-Hilliard equation
Yukun Li
This paper proposes and analyzes the Morley element method for the Cahn-Hilliard equation. It is a fourth order nonlinear singular perturbation equation arises from the binary allo…
On the Stability and Accuracy of Partially and Fully Implicit Schemes for Phase Field Modeling
Jinchao Xu, Yukun Li, Shuonan Wu +1
We study in this paper the accuracy and stability of partially and fully implicit schemes for phase field modeling. Through theoretical and numerical analysis of Allen-Cahn and Cah…