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COMBINATIONS OF THE RITZ–GALERKIN AND FINITE DIFFERENCE METHODS

✍ Scribed by Z.-C. LI

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
693 KB
Volume
39
Category
Article
ISSN
0029-5981

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✦ Synopsis

This paper presents six combinations of the Ritz-Galerkin method and the finite difference method for solving elliptic boundary value problems. Not only optimal convergence rates of solutions but also superconvergence rates of solution derivatives can be achieved. The non-conforming combination and other five new combinations are given in algorithms, error analysis, convergence rates, outlines of proofs, numerical experiments and their comparisons.

📜 SIMILAR VOLUMES

The finite difference and localized Ritz
The finite difference and localized Ritz methods
✍ J. G. A. Croll; A. C. Walker 📂 Article 📅 1971 🏛 John Wiley and Sons 🌐 English ⚖ 294 KB

## 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