有限元网格优化方法  

A Finite Element Mesh Optimization Method

作　　者：罗特军[1] 罗季军[2] 汪榴 

机构地区：[1]四川联合大学土木工程及工程力学系,成都610065 [2]同济大学,上海200092

出　　处：《四川联合大学学报（工程科学版）》1999年第3期65-72,共8页

摘　　要：有限元网格生成器所产生的网格可能包含严重畸变的单元。经过修匀后的网格有时仍然存在不合格单元。最近，优化技术被用来改进修匀后的网格的质量。出现了一个称为网格优化的新的研究方向。本文对网格优化进行了简要的综述，并和修匀技术进行了比较。针对网格几何优化具有多目标优化的性质，提出了一个新的三角形网格的单元质量量度和网格质量量度，以及调整单元质量标准，逐级优化的策略。Finite element mesh generators may yield a mesh containing badly distorted elements. Sometimes there exist invalid elements after mesh smoothing. Recently, optimization techniques are used to improve the quality of the mesh after smoothing. A new line of research which is called mesh optimization has appeared.In this paper, mesh optimization and smoothing technique are discussed and compared.According to the multi-objective nature of mesh optimization, a new quality measure for a triangular element and a new mesh quality measure are proposed. An optimization strategy is developed, in which the quality standard of an element is improved step by step. Two examples are included to illustrate the validity of the method.

关 键 词：有限元 三角形网格 网格优化 拓扑关系 

分 类 号：O242.21[理学—计算数学]