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A combined scheme of finite elements and finite differences

โœ Scribed by H. Yano; A. Kieda; K. Nishioka

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
315 KB
Volume
326
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

This paper presents a new combined technique of finite elements and jinite d@erences for two-dimensional boundary-value problems. The method is similar to the Boundary Fixing Method used in heat conduction problems, except that it employs finite elements in the radial direction. The method combines one-dimensional finite elements in the radial direction and one-dimensional finite difSerences in the angular direction. The model d@erential equation applied is the two-dimensional Laplace equation. The algorithm is very simple, and easily applicable to a wide range of physical problems governed by partial differential equations in both two and three dimensions. A numerical simulation is given to clarify the effectiveness of the method.

๐Ÿ“œ SIMILAR VOLUMES

Approximate solutions for axisymmetric e
Approximate solutions for axisymmetric exterior-field problems by the combined scheme of finite elements and finite differences
โœ N. Kitahara; S. Yamane; H. Yano ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 604 KB

The combined scheme of jinite elements and finite d@rences, which was dweloped by Yano and already succes.$ully applied to the two-dimensional Laplace equation, is applied to axisymmetric e.wterior$eldproblems, as studied by Wong and Ciric. In order to illustrate the validity of the proposed techniq