COMPUTING APPARATUS FOR FINITE ELEMENT METHOD FOR DISCRETELY ANALYZING HIGH ORDER DIFFERENTIAL EQUATION

摘要

PROBLEM TO BE SOLVED: To precisely perform analysis by applying Helmholtz decomposition in a numerical analyzing device using a finite element method.;SOLUTION: As regards the numerical analyzing device, an equation setting means 1 sets the minimum conditional expression calculated by a method of least square from a differential equation and constraint condition specifying the change of an analysis object by using variables calculated by Helmholtz-decomposing a vector field expressing the physical quantity of the analysis object. A boundary condition setting means 2 sets the boundary conditions of the analysis object, an initial condition setting means 3 sets the initial conditions of the analysis object, and a numerical solution means 4 solves the minimum conditional expression by a finite element method using a quasi-Newton's method. That is, calculation is performed by a numerical calculation means 41 and a correction means 42, and repeated until it converges by a repetition means 43. Thus, it is possible to perform analysis based on Helmholtz decomposition by using displacement elements. Therefore, it is possible to achieve highly precise analysis by performing solution in a vorticity level.;COPYRIGHT: (C)2008,JPO&INPIT