抄録
Automatic control of aspect ratios and generation of adequate meshes for the surface case are provided by mathematical analysis of initial distribution for the given triangular meshes. In this analysis basic mathematical theory of probability, Monte Carlo simulation, analysis by means of corresponding parameters and improving meshes are to be employed. The parameters like expectation and deviation are derived form statistics. The modification of meshes is done due to predicted distribution by adding or / and moving points. The stop condition for cyclic way of application is the equality of sample mean to desirable aspect ratio. The deviation provides corresponding error. The unique combination of well-known techniques and statistical analysis in a special way give us the method to refine an arbitrary mesh automatically following the distribution of aspect ratios in each step Moreover this approach provides handling a large amount of data.
