WIT Press


Computing Efficient Approximations To BEM Integrals

Price

Free (open access)

Volume

19

Pages

10

Published

1997

Size

883 kb

Paper DOI

10.2495/BE970641

Copyright

WIT Press

Author(s)

R.N.L. Smith and N. Stringfellow

Abstract

We discuss efficient and simple methods for boundary element integrals. An efficient algorithm for non-singular integration is described and execution times given for two Fortran 90 compilers. A new class of Gauss routines for logarithmic integrals is shown to be more effective than other quadrature schemes. Introduction Integration schemes for the direct boundary element method are now typ- ically reliable and accurate, although they may not always be as efficient and well-coded as might be considered desirable. With the advent of itera- tive schemes which promise considerable improvements in equation solution times, the time spent in integration may be increasingly important. Inte- gration time is proportional to n* where n is the number of nodes and the constant of proporti

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