2020-11-29T07:47:32Z
http://oa.upm.es/cgi/oai2
oai:oa.upm.es:15718
2016-04-21T16:00:14Z
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Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation
Sanz Serna, Jesús María
Doblaré Castellano, Manuel
Alarcón Álvarez, Enrique
Civil Engineering and Construction
Mathematics
It is well known that the evaluation of the influence matrices in the boundary-element method requires the computation of singular integrals. Quadrature formulae exist which are especially tailored to the specific nature of the singularity, i.e. log(*- x0)9 Ijx- JC0), etc. Clearly the nodes and weights of these formulae vary with the location Xo of the singular point. A drawback of this approach is that a given problem usually includes different types of singularities, and therefore a general-purpose code would have to include many alternative formulae to cater for all possible cases. Recently, several authors1"3 have suggested a type independent alternative technique based on the combination of standard Gaussian rules with
non-linear co-ordinate transformations. The transformation approach is particularly appealing in connection with the p.adaptive version, where the location of the collocation points varies at each step of the refinement process. The purpose of this paper is to analyse the technique in eference 3. We show that this technique is asymptotically correct as the number of Gauss points increases. However, the method possesses a 'hidden' source of error that is analysed and can easily be removed.
E.T.S.I. Industriales (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
1990
info:eu-repo/semantics/article
Article
Communications in Applied Numerical Methods, ISSN 0748-8025, 1990, Vol. 6, No. 2
NonPeerReviewed
application/pdf
eng
http://onlinelibrary.wiley.com/doi/10.1002/cnm.1630060208
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1002/cnm.1630060208
http://oa.upm.es/15718/