253 citations · 476 across the 75 of their papers we have counts for
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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…
Computing rough solutions of the KdV equation below
Jiachuan Cao, Buyang Li, Yifei Wu +1
We establish a novel numerical and analytical framework for solving the Korteweg--de Vries (KdV) equation in the negative Sobolev spaces, where classical numerical methods fail due…
An energy-stable minimal deformation rate scheme for mean curvature flow and surface diffusion
Guangwei Gao, Harald Garcke, Buyang Li +1
We propose a new parametric finite element method, referred to as the BGN-MDR method, for simulating both mean curvature flow and surface diffusion for closed hypersurfaces, as wel…
Dynamic Ritz Projection for Finite Element Methods in Fluid-Structure Interaction
Erik Burman, Buyang Li, Rong Tang
Regardless of the development of various finite element methods for fluid-structure interaction (FSI) problems, optimal-order convergence of finite element discretizations of the F…
Optimal convergence of the arbitrary Lagrangian-Eulerian interface tracking method for two-phase Navier--Stokes flow without surface tension
Buyang Li, Shu Ma, Weifeng Qiu
Optimal-order convergence in the norm is proved for an arbitrary Lagrangian-Eulerian interface tracking finite element method for the sharp interface model of two-phase Navie…