142 citations · 1.8k across the 67 of their papers we have counts for
67 papers
An Efficient Constant-Coefficient MSAV Scheme for Computing Vesicle Growth and Shrinkage
Zhiwei Zhang, Shuwang Li, John Lowengrub +1
We present a fast, unconditionally energy-stable numerical scheme for simulating vesicle deformation under osmotic pressure using a phase-field approach. The model couples an Allen…
SLOCC and LU classification of black holes with eight electric and magnetic charges
Dafa Li, Maggie Cheng, Xiangrong Li +1
In \cite{Linde}, Kallosh and Linde discussed the SLOCC classification of black holes. However, the criteria for the SLOCC classification of black holes have not been given. In addi…
Learning Domain-Independent Green's Function For Elliptic Partial Differential Equations
Pawan Negi, Maggie Cheng, Mahesh Krishnamurthy +2
Green's function characterizes a partial differential equation (PDE) and maps its solution in the entire domain as integrals. Finding the analytical form of Green's function is a n…
An Alternating Direction Implicit Method for Mean Curvature Flows
Han Zhou, Shuwang Li, Wenjun Ying
This paper is concerned with the mean curvature flow, which describes the dynamics of a hypersurface whose normal velocity is determined by local mean curvature. We present a Carte…
A Cartesian grid-based boundary integral method for moving interface problems
Han Zhou, Shuwang Li, Wenjun Ying
This paper proposes a Cartesian grid-based boundary integral method for efficiently and stably solving two representative moving interface problems, the Hele-Shaw flow and the Stef…
Second order convergence of a modified MAC scheme for Stokes interface problems
Haixia Dong, Zhongshu Zhao, Shuwang Li +2
Stokes flow equations have been implemented successfully in practice for simulating problems with moving interfaces. Though computational methods produce accurate solutions and num…