Abstract: Aiming at the aberrant problem of mesh-mapping in the mesh generation of FEM,the paper carries out the precise approach from the calculational plane to physical plane by inducting the transfinite of numerical diathermanous subject.The result of applocation shows that this method can improve the precision of meshpartition and the quality of the element gridding.What’s more,the paper introduces the dispersing of the boundary,the coding method of nodes and the smooth way about gridding by the numbers.In the end,a numerical example is given. 

Key words: mesh partition； transfinite mapping； approach；