Extendible and Efficient Python Framework for Solving Evolution Equations with Stabilized Discontinuous Galerkin Method
Mathematical Software
2021-03-30 v2 Distributed, Parallel, and Cluster Computing
Numerical Analysis
Numerical Analysis
Computational Physics
Abstract
This paper discusses a Python interface for the recently published DUNE-FEM-DG module which provides highly efficient implementations of the Discontinuous Galerkin (DG) method for solving a wide range of non linear partial differential equations (PDE). Although the C++ interfaces of DUNE-FEM-DG are highly flexible and customizable, a solid knowledge of C++ is necessary to make use of this powerful tool. With this work easier user interfaces based on Python and the Unified Form Language are provided to open DUNE-FEM-DG for a broader audience. The Python interfaces are demonstrated for both parabolic and first order hyperbolic PDEs.
Keywords
Cite
@article{arxiv.2009.13416,
title = {Extendible and Efficient Python Framework for Solving Evolution Equations with Stabilized Discontinuous Galerkin Method},
author = {Andreas Dedner and Robert Klöfkorn},
journal= {arXiv preprint arXiv:2009.13416},
year = {2021}
}
Comments
36 pages, 15 figures, various Python code examples