Towards curvilinear meshing in 3D: the case of quadratic simplices

被引：44
作者：
Dey, S
O'Bara, RM
Shephard, MS
机构：
[1] USN, Res Lab, SFA Inc, Largo, MD 20774 USA
[2] Simmertrix Inc, Troy, NY 12180 USA
[3] Rensselaer Polytech Inst, Sci Computat Res Ctr, Troy, NY 12180 USA
来源：
COMPUTER-AIDED DESIGN | 2001年 / 33卷 / 03期
关键词：
mesh generation; curvilinear mesh generation; p-version analysis;
D O I：
10.1016/S0010-4485(00)00120-2
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Issues related to curvilinear mesh generation are addressed. Curvilinear mesh geometry representation in the context of high-order finite element formulations and its impact on mesh validity is discussed. Specific criteria and associated mathematical relations are derived to ensure validity of meshes of quadratic simplices. An iterative algorithm for curving stright-edges meshes is described. Example curvilinear meshes of complex geometries obtained using this algorithm are included to show the validity of the presented approach. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：199 / 209
页数：11
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