Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation

Sanz Serna, Jesús María and Doblaré Castellano, Manuel and Alarcón Álvarez, Enrique (1990). Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation. "Communications in Applied Numerical Methods", v. 6 (n. 2); pp. 121-123. ISSN 0748-8025. https://doi.org/10.1002/cnm.1630060208.

Description

Title: Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation
Author/s:
  • Sanz Serna, Jesús María
  • Doblaré Castellano, Manuel
  • Alarcón Álvarez, Enrique
Item Type: Article
Título de Revista/Publicación: Communications in Applied Numerical Methods
Date: 1990
Volume: 6
Subjects:
Faculty: E.T.S.I. Industriales (UPM)
Department: Mecánica Estructural y Construcciones Industriales [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

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.

More information

Item ID: 15718
DC Identifier: http://oa.upm.es/15718/
OAI Identifier: oai:oa.upm.es:15718
DOI: 10.1002/cnm.1630060208
Official URL: http://onlinelibrary.wiley.com/doi/10.1002/cnm.1630060208
Deposited by: Biblioteca ETSI Industriales
Deposited on: 10 Jun 2013 15:01
Last Modified: 21 Apr 2016 16:00
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