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Improved Extrapolation Technique in the Boundary Element Method to Find the Capacitances of the Unit Square and Cube

โœ Scribed by F.H. Read

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
246 KB
Volume
133
Category
Article
ISSN
0021-9991

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โœฆ Synopsis

to find these two capacitances to a higher accuracy than ever before. The technique is of course also relevant to Extrapolation of the number N of subdivisions to infinity in the boundary element method involves fitting computed results to a the use of the BEM in solving a wide range of other electropolynomial in 1/N. A technique of choosing the sizes of the subdivistatic and related problems.

sions in such a way that the terms of lowest order in 1/N are eliminated, giving a more accurate extrapolation, is described. The tech-

2. SOURCES OF ERROR IN CALCULATING

nique is used to establish the capacitances of the unit square and cube with relative errors of 3 ฯซ 10 ฯช7 and 3 ฯซ 10 ฯช6 respectively. แฎŠ 1997

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Superscripts fi complementary solution quantities corresponding to Buekner's equivalent formulation [Fig. 2b] f: particular solution fundamental solution Special symbols derivative with respect to T at fixed spatial coordinates .