2 papers
math.NA2026
A Gauge-Invariant Finite Element Method for the Time-Dependent Ginzburg--Landau Equations
Huadong Gao, Yuhui Huang, Wen Xie
It is well known that the Ginzburg--Landau equations are gauge invariant. The most popular gauge choice in practical simulations is the temporal gauge, also known as the zero elect…
math.NA2025
Analysis of A Mixed Finite Element Method for Poisson's Equation with Rough Boundary Data
Huadong Gao, Yuhui Huang, Wen Xie
This paper is concerned with finite element methods for Poisson's equation with rough boundary data. Conventional methods require that the boundary data of the problem belongs…