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Adaptive Parametric Surface Meshing Based on Discrete Derivatives

机译:基于离散导数的自适应参数曲面网格划分

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Adaptive meshing is an essential pre-requisite for various problems in finite element simulation. In this paper, we focus on the meshing of parametric surfaces conforming to a prescribed size field. In our indirect approach, this size field is induced into each parametric domain. This defines a Riemannian metric field, and a combined advancing-front generalized-Delaunay method is then used. However, this requires the derivatives of the parametric mapping functions are known. This information is not necessarily provided by CAD systems or may be costly to compute. For this reason, we propose a new and efficient method to obtain the discrete derivatives of the mapping functions.
机译:自适应网格划分是有限元模拟中各种问题的必要先决条件。在本文中,我们专注于符合指定尺寸字段的参数化曲面的网格化。在我们的间接方法中,此大小字段被感应到每个参数域中。这定义了一个黎曼度量域,然后使用了组合的超前广义广义Delaunay方法。然而,这要求参数映射函数的导数是已知的。此信息不一定由CAD系统提供,或者计算成本可能很高。因此,我们提出了一种新的有效方法来获取映射函数的离散导数。

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