# Extendible and Efficient Python Framework for Solving Evolution Equations with Stabilized Discontinuous Galerkin Method

arXiv: https://arxiv.org/abs/2009.13416 · HTML: https://mlsanity.com/paper/2009.13416/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 25 Sep 2020.

## Built on by (most cited first, 1 of 1)

- [Physics-informed 4D X-ray image reconstruction from ultra-sparse spatiotemporal data](https://mlsanity.com/paper/2504.03469/) (2025)

## Abstract (arXiv)

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.