A bi-cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods

Cerrolaza Rivas, Miguel and Alarcón Álvarez, Enrique (1989). A bi-cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods. "International Journal for Numerical Methods in Engineering", v. 28 (n. 5); pp. 987-999. ISSN 0029-5981. https://doi.org/10.1002/nme.1620280502.

Description

Title: A bi-cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods
Author/s:
  • Cerrolaza Rivas, Miguel
  • Alarcón Álvarez, Enrique
Item Type: Article
Título de Revista/Publicación: International Journal for Numerical Methods in Engineering
Date: May 1989
Volume: 28
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

The numerical strategies employed in the evaluation of singular integrals existing in the Cauchy principal value (CPV) sense are, undoubtedly, one of the key aspects which remarkably affect the performance and accuracy of the boundary element method (BEM). Thus, a new procedure, based upon a bi-cubic co-ordinate transformation and oriented towards the numerical evaluation of both the CPV integrals and some others which contain different types of singularity is developed. Both the ideas and some details involved in the proposed formulae are presented, obtaining rather simple and-attractive expressions for the numerical quadrature which are also easily embodied into existing BEM codes. Some illustrative examples which assess the stability and accuracy of the new formulae are included.

More information

Item ID: 15757
DC Identifier: http://oa.upm.es/15757/
OAI Identifier: oai:oa.upm.es:15757
DOI: 10.1002/nme.1620280502
Official URL: http://onlinelibrary.wiley.com/doi/10.1002/nme.1620280502/abstract
Deposited by: Biblioteca ETSI Industriales
Deposited on: 13 Jun 2013 11:05
Last Modified: 21 Apr 2016 16:03
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