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The finite difference and localized Ritz methods

✍ Scribed by J. G. A. Croll; A. C. Walker

Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
294 KB
Volume
3
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

The conventional central finite difference equations for the plane stress extension of flat plates are derived as a localized Ritz process. A dual differential‐variational discretization of this type enables common classification of the finite difference and finite element methods. Also, it provides alternative methods of establishing sufficiency conditions and relative rates of convergence for discrete systems derived from a localized Ritz process, and the existence of solution bounds for discrete systems derived using difference procedures.

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