A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations
A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations
复制标题
DOI：
10.1016/j.jcp.2015.09.049
复制
发表时间：
2014-10
期刊：
影响因子：
--
通讯作者：
Buyang Li;Zhimin Zhang
中科院分区：
文献类型：
--
作者：
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. Specifically, we reformulate the TDGL into an equivalent system of equations by decomposing the magnetic potential to the sum of its divergence-free and curl-free parts, respectively. Numerical simulations of vortex dynamics show that, in a domain with reentrant corners, the new approach is much more stable and accurate than the traditional approaches of solving the TDGL directly (under either the temporal gauge or the Lorentz gauge); in a convex domain, the new approach gives comparably accurate solutions as the traditional approaches.
