209 citations · 359 across the 18 of their papers we have counts for
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High-order variational Lagrangian schemes for compressible fluids
Guosheng Fu, Chun Liu
We present high-order variational Lagrangian finite element methods for compressible fluids using a discrete energetic variational approach. Our spatial discretization is mass/mome…
A second order accurate numerical method for the Poisson-Nernst-Planck system in the energetic variational formulation
Chun Liu, Cheng Wang, Steven M. Wise +2
A second order accurate (in time) numerical scheme is proposed and analyzed for the Poisson-Nernst-Planck equation (PNP) system, reformulated as a non-constant mobility gr…
Nonlinear simulation of an elastic tumor-host interface
Min-Jhe Lu, Chun Liu, Shuwang Li
We develop a computational method for simulating the nonlinear dynamics of an elastic tumor-host interface. This work is motivated by the recent linear stability analysis of a two-…
A new Lagrange Multiplier approach for gradient flows
Qing Cheng, Chun Liu, Jie Shen
We propose a new Lagrange Multiplier approach to design unconditional energy stable schemes for gradient flows. The new approach leads to unconditionally energy stable schemes that…
Energetic Stable Discretization for Non-Isothermal Electrokinetics Model
Simo Wu, Chun Liu, Ludmil Zitakanov
We propose an edge averaged finite element(EAFE) discretization to solve the Heat-PNP (Poisson-Nernst-Planck) equations approximately. Our method enforces positivity of the compute…
A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates, I. One-dimensional case
Q. Cheng, Chun liu, J. Shen
We develop a new Lagrangian approach --- flow dynamic approach to effectively capture the interface in the Allen-Cahn type equations. The underlying principle of this approach is t…