论文标题

可扩展且高效的Python框架,用于使用稳定的不连续Galerkin方法求解进化方程

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

论文作者

Dedner, Andreas, Klöfkorn, Robert

论文摘要

本文讨论了最近发表的Dune-FEM-DG模块的Python界面,该界面提供了不连续的Galerkin(DG)方法的高效实现,以求解广泛的非线性部分偏微分方程(PDE)。尽管Dune-Fem-DG的C ++接口具有高度灵活性和可定制的,但对于使用此功能强大的工具来说,必须了解C ++的可靠知识。随着这项工作,基于Python的用户界面更容易,并且提供了统一的形式语言,以打开Dune-fem-DG为更广泛的受众开放。对于抛物线和一阶双曲PDE,证明了Python界面。

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.

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