GALERKIN'S METHOD AND THE LOCAL POTENTIAL,
Abstract
The advantages of viewing the local potential method as an application of Galerkin's method are threefold: (1) Variational formalism is avoided by using Galerkin's method, a conceptually simple, straightforward approximating scheme; (2) convergence proofs and other useful mathematical information are sometimes available for Galerkin's method; and (3) inasmuch as Galerkin's method is actually only one member of a family of weighted-residual methods for direct approximation using trial functions with adjustable parameters, the way is plain to alternative direct methods for attacking a problem. From the standpoint of fluid mechanics and transport theory there is considerable need for careful and systematic comparisons of these more-or-less well -established schemes and for increased attention to them by mathematicians or numerical analysts.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1965
- Accession Number
- AD0628582
Entities
People
- B. A. Finlayson
- L. E. Scriven
Organizations
- University of Minnesota