四面体有限元网格的非线性优化

有限元网格优化主要有2个途径,拓朴优化（连接变换）、光顺,讨论重点集中于第二种方法；给出了单元质量函数,定义一个离散型单元优化目标函数,运用非线性约束的最速下降法对优化空间中的单元参数进行优化；为了保证网格拓扑结构,给出了优化网格有效性检验.

The Nonlinear Optimization of Tetrahedron Mesh

To improve the mesh quality, the smoothing method and The smoothing method will he discussed in the paper. The nonlinear the reconnection method can be used. programming will be adopted. A func- tion of mesh quality is defined, and a steepest descent algorithm is used to optimize the nondifferentiable objective function of mesh quality. To keep the topology of mesh, the algorithms of mesh validation is given.