Accession Number : AD0651206

Title :   AN EXTENSION OF THE KANTOROVICH METHOD,

Corporate Author : NEW YORK UNIV N Y DEPT OF AERONAUTICS AND ASTRONAUTICS

Personal Author(s) : Kerr,Arnold D.

Report Date : AUG 1966

Pagination or Media Count : 22

Abstract : An extension of the Kantorovich method is proposed. The suggested method is demonstrated on the torsion problem of a beam of rectangular cross section. It is found that even when the solution is restricted to a one term approximation, the method generates very good results also for stresses which are obtained as derivatives of the solution. It is also found that the convergence of the iterative process is very rapid. The obtained results indicate that the proposed method is a powerful tool to generate close approximate solutions thus eliminating an inherent shortcoming in the Ritz and Galerkin methods, namely the arbitrariness in the choice of an approximate solution. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, *NUMERICAL METHODS AND PROCEDURES), BEAMS(STRUCTURAL), TORSION, STRESSES, CONVERGENCE, ITERATIONS, NUMERICAL ANALYSIS

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE