论文标题

局部不连续的Galerkin,用于功能重态化组

Local Discontinuous Galerkin for the Functional Renormalisation Group

论文作者

Ihssen, Friederike, Pawlowski, Jan M., Sattler, Franz R., Wink, Nicolas

论文摘要

我们将局部不连续的Galerkin离散化应用于局部电位近似中O(n)模型的流动方程。通过解决各种$ n $和时空尺寸$ d $的流程方程来直接观察到改进的稳定性。这项工作的一个特殊重点是数值离散及其实施。该代码可公开可用,并在此处详细说明。它被认为是高性能PDE框架沙丘中的模块。

We apply the Local Discontinuous Galerkin discretisation to flow equations of the O(N)-model in the Local Potential Approximation. The improved stability is directly observed by solving the flow equation for various $N$ and space-time dimensions $d$. A particular focus of this work is the numerical discretisation and its implementation. The code is publicly available, and is explained in detail here. It is realised as a module within the high performance PDE framework DUNE.

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