A solution-based triangular and tetrahedral mesh quality indicator
A solution-based triangular and tetrahedral mesh quality indicator
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DOI：
10.1137/s1064827596305222
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发表时间：
1998-11-01
影响因子：
3.1
通讯作者：
Berzins, M
中科院分区：
文献类型：
--
作者：
Berzins, M
针对三角形和四面体网格，提出了一种新的网格质量度量方法。该网格质量度量基于几何信息和解信息，是在使用线性三角形和四面体单元逼近二次函数时考虑误差而得出的。新的度量与现有的网格质量度量相关，但其优点是考虑了沿边缩放导数形式的局部解信息。
A new mesh quality measure for triangular and tetrahedral meshes is presented. This mesh quality measure is based on both geometrical and solution information and is derived by considering the error when linear triangular and tetrahedral elements are used to approximate a quadratic function. The new measure is shown to be related to existing measures of mesh quality but with the advantage that local solution information in the form of scaled derivatives along edges is taken into account.