1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2025
A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems
Hailiang Liu, Zhongming Wang, Peimeng Yin
In earlier work [H. Liu and Z. Wang, J. Comput. Phys., 328(2017)], an arbitrary high-order conservative and energy-dissipative direct discontinuous Galerkin (DDG) scheme was develo…
math.NA2024
Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker-Planck equations
José A. Carrillo, Hailiang Liu, Hui Yu
This paper is concerned with structure-preserving numerical approximations for a class of nonlinear nonlocal Fokker-Planck equations, which admit a gradient flow structure and find…
math.NA2024★ 1 cited
Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation
Yaoyao Chen, Hailiang Liu, Nianyu Yi +1
In this paper, we present several unconditionally energy-stable invariant energy quadratization (IEQ) finite element methods (FEMs) with linear, first- and second-order accuracy fo…