WIT Press


Extrapolating The Number Of Segments To Infinity In The Boundary Element Method

Price

Free (open access)

Paper DOI

10.2495/BE000131

Volume

26

Pages

6

Published

2000

Size

434 kb

Author(s)

F.H. Read

Abstract

Extrapolation of the number N of subdivisions to infinity in the Boundary Element Method involves fitting computed results obtained at a series of values of N to the power law (1/Nf. The exponent p is established empirically and usually has a value in the range 1 to 2.5, depending on the type of problem. The technique of extrapolation produces not only the required value at TV = infinity, but also an estimate of the error in the result. The technique is discussed and examples are given. 1 Introduction In the Boundary Element Method the accuracy of a result depends on the total number TV of boundary segments that are used. It would be desirable to be able to extrapolate the effective value of N to infinity, but it seems that at present there is little theoretical knowledge about the a

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