3 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.NA2026
Optimal Local Error Estimates for Finite Element Methods with Measure-Valued Sources
Huadong Gao, Yuhui Huang
We study finite element approximations of second-order elliptic problems with measure-valued right-hand sides supported on lower-dimensional sets. The exact solution generally lack…
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…