New development in freefem++

New development in freefem++
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DOI:
10.1515/jnum-2012-0013
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发表时间:
2012-12-01
影响因子:
3
通讯作者:
Hecht, F.
Hecht, F.
中科院分区:
数学2区
文献类型:
--
作者:
Hecht, F.

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这是对frefem++软件的简短介绍。在第一节中,我们回顾了软件的大部分特征,在第二节中,我们回顾了如何从强形式构造偏微分方程(PDE)的弱形式。在最后三节中,我们将提供不同的示例和工具来说明该软件的强大功能。首先讨论了二维和三维问题的网格适配问题,然后数值求解了一个具有相变和自然对流的问题,最后在并行计算机上用Schwarz区域分解问题求解了一个Laplace方程,从而证明了高性能计算的可能性。
This is a short presentation of the freefem++ software. In Section 1, we recall most of the characteristics of the software, In Section 2, we recall how to to build the weak form of a partial differential equation (PDE) from the strong form. In the 3 last sections, we present different examples and tools to illustrated the power of the software. First we deal with mesh adaptation for problems in two and three dimension, second, we solve numerically a problem with phase change and natural convection, and the finally to show the possibilities for HPC we solve a Laplace equation by a Schwarz domain decomposition problem on parallel computer.