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 or 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.

中文翻译：

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BoSSS：用于多网格扩展不连续Galerkin方法的软件包

BoSSS软件包通过扩展的间断Galerkin（XDG，分别为DG）方法为具有不连续系数和/或与时间相关的域的（稳态或时间相关的）偏微分方程离散化。切槽DG或不适合的DG。这项工作包括两个主要部分：首先，介绍了XDG方法并开发了一种正式的表示法，该表示法捕获了重要的数字细节，例如单元格聚集和多网格框架。在第二部分中，介绍了扩展DG系统的迭代求解器，并对它们的性能进行了评估。