A geometrical approach to mesh smoothing

被引：6

作者：

Aiffa, M ^{[1
]}

Flaherty, JE

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[2] Rensselaer Polytech Inst, Sci Computat Res Ctr, Troy, NY 12180 USA

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2003年 / 192卷 / 39-40期

关键词：

smoothing; shape measure; mesh quality; adaptive finite elements;

D O I：

10.1016/S0045-7825(03)00441-9

中图分类号：

T [工业技术];

学科分类号：

08 [工学];

摘要：

We study the problem of smoothing finite element meshes of triangles and tetrahedra, where vertices are recursively moved to improve the overall quality of the elements with respect to a given shape quality metric. We propose a geometric approach to solving the local optimization problem. Level sets of the given metric are used to characterize the set of optimal point(s). We also introduce a new mesh quality metric for tetrahedra. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：4497 / 4514

页数：18

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