1 citations · 1 across the 4 of their papers we have counts for
4 papers
Tangential stability and fully discrete convergence of the classical BGN scheme for curve shortening flow
Qiqi Rao
We prove fully discrete convergence of the classical Barrett--Garcke--Nürnberg (BGN) scheme for curve-shortening flow of smooth embedded closed planar curves. The main obstruction…
High-order energy-stable BGN parametric finite element methods for geometric flows
Shu Ma, Qiqi Rao
We construct high-order Runge--Kutta extensions of Barrett--Garcke--Nürnberg (BGN) parametric finite element methods for curve-shortening flow and curve diffusion of planar curves…
Numerical analysis of 2D Navier--Stokes equations with nonsmooth initial value in the critical space
Buyang Li, Qiqi Rao, Hui Zhang +1
This paper addresses the numerical solution of the two-dimensional Navier--Stokes (NS) equations with nonsmooth initial data in the space, which is the critical space for the…
Convergence of Arbitrary Lagrangian-Eulerian Second-order Projection Method for the Stokes Equations on an Evolving Domain
Qiqi Rao, Jilu Wang, Yupei Xie
The numerical solution of the Stokes equations on an evolving domain with a moving boundary is studied based on the arbitrary Lagrangian-Eulerian finite element method and a second…