Local discontinuous Galerkin for the functional renormalisation group

Abstract:

We apply a 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. It is realised as a module within the high performance PDE framework DUNE. A preliminary version of the module is available on GitHub, but it is not submitted for publication as it is too early to be archived.

F. Ihssen, J. M. Pawlowski, F. R. Sattler, N. Wink, „Local discontinuous Galerkin for the functional
renormalisation group“, Comput. Phys. Commun. 300, 109182 (2024).

https://www.sciencedirect.com/science/article/pii/S001046552400105X

Related to Project A01, A02, C03