A note on the variational method (Rayleigh‐Ritz), Galerkin's Method, and the method of least squares

Tapan K. Sarkar

Research output: Contribution to journalArticle

24 Scopus citations

Abstract

The variational method (Rayleigh‐Ritz), Galerkin's method and the method of least squares have been utilized extensively in electromagnetic theory to solve various field problems. In most cases, one makes a formal use of the techniques. In this paper, a tutorial approach has been taken to bring out the mathematical distinctions between the variational method (Rayleigh‐Ritz), Galerkin's method and the method of least squares. Examples have been presented to illustrate the strong and weak points of each of the techniques. Finally, the rates of convergence of the three techniques have been derived. It is hoped that with the appearance of this paper, application of a particular technique to solve an electromagnetic field problem would be more rigorous rather than formal.

Original languageEnglish (US)
Pages (from-to)1207-1224
Number of pages18
JournalRadio Science
Volume18
Issue number6
DOIs
StatePublished - Jan 1 1983

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Earth and Planetary Sciences(all)
  • Electrical and Electronic Engineering

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