论文标题
老板:多族延长不连续的盖尔金方法的包装
BoSSS: a package for multigrid extended discontinuous Galerkin methods
论文作者
论文摘要
软件包的boss通过扩展的不连续的Galerkin(XDG,resp。DG)方法(aka)提供了具有不连续系数和/或时间依赖性域的(稳态或时间依赖)部分微分方程的离散化。 cut-cell DG,又名。未固定的DG。这项工作由两个主要部分组成:首先,引入了XDG方法并开发了形式的符号,该方法捕获了重要的数值细节,例如细胞 - 凝集和多机框架。在第二部分中,提出了扩展的DG系统的迭代求解器,并评估了其性能。
The software package BoSSS serves the discretization of (steady-state or time-dependent) partial differential equations with discontinuous coefficients and/or time-dependent domains by means of an eXtended Discontinuous Galerkin (XDG, resp. DG) method, aka. cut-cell DG, aka. unfitted DG. This work consists of two major parts: First, the XDG method is introduced and a formal notation is developed, which captures important numerical details such as cell-agglomeration and a multigrid framework. In the second part, iterative solvers for extended DG systems are presented and their performance is evaluated.