253 citations · 476 across the 75 of their papers we have counts for
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A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations
Buyang Li, Zhimin Zhang
We introduce a new approach for finite element simulations of the time-dependent Ginzburg-Landau equations (TDGL) in a general curved polygon, possibly with reentrant corners. Spec…
Mathematical and numerical analysis of time-dependent Ginzburg--Landau equations in nonconvex polygons based on Hodge decomposition
Buyang Li, Zhimin Zhang
We prove well-posedness of time-dependent Ginzburg--Landau system in a nonconvex polygonal domain, and decompose the solution as a regular part plus a singular part. We see that th…
Convergence of a decoupled mixed FEM for miscible displacement in interfacial porous media
Buyang Li, Hongxing Rui, Chaoxia Yang
In this paper, we study the stability and convergence of a decoupled and linearized mixed finite element method (FEM) for incompressible miscible displacement in a porous media who…
Regularity of the diffusion-dispersion tensor and error analysis of Galerkin FEMs for a porous media flow
Buyang Li, Weiwei Sun
We study Galerkin finite element methods for an incompressible miscible flow in porous media with the commonly-used Bear-Scheidegger diffusion-dispersion tensor $D({\bf u}) = Φd_m…