基于节点的局部网格生成算法

讨论了基于节点的有限元方法的网格生成算法及其产生的不一致性问题,提出了基于D e launay三角剖分的唯一性来克服网格不一致性现象的思想,并建议使用局部区域分割方法合理地确定探索圆半径,使中心节点的探索圆包含它的所有卫星点,进而确保算法无不一致性。理论分析和算例表明了该方法的可靠性及有效性。

Node-based local mesh generation algorithm

In this paper,node-based local mesh generation(NLMG) algorithms designed for the node-based finite element method are discussed.A new idea is put forward to circumvent the so-called inconsistency phenomenon which probably occurring in the NLMG process in virtue of the uniqueness of the global partition algorithm for the given nodes.As an application,Localized Repartition Delaunay triangulation algorithm is suggested and shown to be valuable and efficient based on both the theory analysis and numerical examples results.The key step of NLMG algorithms,i.e.the determination of the radius of searching circle,is achieved through repartitioning the domain of analysis,which can be realized easily and has low complexity in algorithms.