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

Sanz Serna, Jesús María; Doblaré Castellano, Manuel y 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.

Descripción

Título: Remarks on methods for the computation of boundary-element integrals by co-ordinate transformation
Autor/es:
  • Sanz Serna, Jesús María
  • Doblaré Castellano, Manuel
  • Alarcón Álvarez, Enrique
Tipo de Documento: Artículo
Título de Revista/Publicación: Communications in Applied Numerical Methods
Fecha: 1990
Volumen: 6
Materias:
Escuela: E.T.S.I. Industriales (UPM)
Departamento: Mecánica Estructural y Construcciones Industriales [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 15718
Identificador DC: http://oa.upm.es/15718/
Identificador OAI: oai:oa.upm.es:15718
Identificador DOI: 10.1002/cnm.1630060208
URL Oficial: http://onlinelibrary.wiley.com/doi/10.1002/cnm.1630060208
Depositado por: Biblioteca ETSI Industriales
Depositado el: 10 Jun 2013 15:01
Ultima Modificación: 21 Abr 2016 16:00
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