AN EXTENSION OF THE KANTOROVICH METHOD,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1966
- Accession Number
- AD0651206
Entities
People
- Arnold D. Kerr
Organizations
- New York University