On concepts of PDE-Software: The cellwise oriented approach in DEAL
On concepts of PDE-Software: The cellwise oriented approach in DEAL
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关于 PDE 软件的概念：DEAL 中面向单元的方法
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
F. Suttmeier
中科院分区：
文献类型：
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作者：
F. Suttmeier
在这篇文章中，我们回顾和完善了我们的概念，一个面向细胞的方法，以偏微分方程软件中描述的论文G。Kanschat和F.T.萨特迈尔本文讨论了局部加密网格上有限元离散时的单元不匹配问题。在标准的双线性和二次FE-空间的一般概念的所谓的悬挂节点的治疗说明。这些结果也适用于非线性元件。此外，我们关注的两个功能是一方面采用本地缩放技术表示运营商的内存需求显着减少。第二个方面是数据局部性，这是矢量化/并行化和采用高效缓存优化硬件技术的基础。我们说明了我们的想法，并提供了数值结果，通过处理一个标准的基准问题（盘孔）从结构力学。数学学科分类：65 N50、65 N99
In this note, we review and refine our concepts of a cellwise oriented approach to PDE-software described in the dissertations of G. Kanschat and F.T. Suttmeier. The problem of non-matching cells in finite element discretisations on locally refined meshes is adressed. General concepts of the treatment of so-called hanging nodes are illustrated at the standard bilinear and -quadratic FE-spaces. These results carry over to nonconforming elements. Furthermore, two features we focus on are on one hand the significant reduction of memory requirements employing local scaling techniques for representing operators. The second aspect is data locality, which is the basis for vectorisation/parallelisation and for employing efficient cache-optimised hardware-techniques. We illustrate our ideas and provide numerical results by treating a standard benchmark problem (disc with a hole) from structural mechanics. Mathematics Subject Classification: 65N50, 65N99