报告题目：时间依赖的金兹堡朗道方程的二阶线性化隐式保能量算法
报告时间：2025-11-29 15:00-16:00
报 告 人 ：李东方 教授 （华中科技大学）
报告地点：雷军科技楼六楼报告厅（644）
Abstract:
The time-dependent Ginzburg-Landau (TDGL) equations are essential for investigating vortex dynamics and the transient behavior of superconductors under external magnetic fields. It is challenging to develop linear and structure-preserving numerical schemes for these equations due to the two coupled variables, the nonlinearity, and the complex characteristics of the discrete operator. To address these issues, we have modified the leap-frog time discretization method by carefully selecting intermediate approximations for the key variables, Ψ and A, within the nonlinear terms. Our approach ensures that the decoupled scheme is linearly implicit and energy-stable. It is also proved that the scheme achieves second-order convergence in the temporal direction.Numerical experiments on both convex and non-convex domains are presented to confirm the effectiveness of our method.
