关键词: cone separation theorem, cone linear operator, extension theorem, separation theorems

Abstract: In this paper we give the method of movable meshes uhichdonot need to follow surface of cell. This method merely computes the motion of the center of cell. The surface of cell is formed by the center of cell by rule. The Lagrantfian mesh thus formed allows slip between cells and the variety of neighborhood. In order to imporve the stability of the method and avoid unnecessary slips of cell, we give two velocities for the cell.

Key words: cone separation theorem, cone linear operator, extension theorem, separation theorems