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

被引：0
作者：
Andreas Dedner
Robert Klöfkorn
机构：
[1] University of Warwick,
[2] Lund University,undefined
来源：
Communications on Applied Mathematics and Computation | 2022年 / 4卷
关键词：
Discontinuous Galerkin; Finite volume; Python; Advection-diffusion; Euler; Navier-Stokes; 65M08; 65M60; 35Q31; 35Q90; 68N99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 nonlinear partial differential equations (PDEs). 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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页码：657 / 696
页数：39
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