Isoparametric Transformation Method in Three-dirmension Solid Volume Computation
Zhong Er-jie · College Mathematics · 2006
The computation of three dimensional volume is converted into that of integral of closed surface,which is based on the divergence theory.In this way,the surface integral expression of spatial triangle can be obtained with triangular mesh subdivision of the closed surface,constructing isoparametric transformation,building 1-1 corresponding relationship between spatial and standard triangle.In this article,we introduce the oriented volume concept of simple tetrahedral,and get the computation formula for polyhedron at last.