摘要: 

The Parker conjecture, which explores whether magnetic fields in perfectly conducting plasmas can develop tangential discontinuities during magnetic relaxation, remains an open question in astrophysics. Helicity conservation provides a topological barrier during relaxation, preventing topologically nontrivial initial data relaxing to trivial solutions; preserving this mechanism discretely over long time periods is therefore crucial for numerical simulation. This work presents an energy- and helicity-preserving finite element discretization for the magneto-frictional system, for investigating the Parker conjecture. The algorithm preserves a discrete version of the topological barrier and a discrete Arnold inequality. We also discuss extensions to domains with nontrivial topology. This is a joint work with Patrick E. Farrell (Oxford)，Kaibo Hu (Edinburgh) and Boris D. Andrews (Oxford).

报告人信息：

何明东，英国牛津大学数学系数值分析组博士生，导师为 Prof. Patrick E. Farrell, 主要研究方向为偏微分方程数值解，目前工作在于多物理场尤其是磁流体方程组的有限元保结构离散，快速求解器以及相关应用。

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