Adaptive Refinements in BEM

Gómez Lera, Sagrario, Cerrolaza Rivas, Miguel and Alarcón Álvarez, Enrique (1987). Adaptive Refinements in BEM. In: "9th International Conference on Boundary Elements", 31/08/1987-04/09/1987, Stuttgart, Germany. ISBN 978-3-662-21910-2.


Title: Adaptive Refinements in BEM
  • Gómez Lera, Sagrario
  • Cerrolaza Rivas, Miguel
  • Alarcón Álvarez, Enrique
Item Type: Presentation at Congress or Conference (Article)
Event Title: 9th International Conference on Boundary Elements
Event Dates: 31/08/1987-04/09/1987
Event Location: Stuttgart, Germany
Title of Book: Boundary Elements IX
Date: 1987
ISBN: 978-3-662-21910-2
Volume: 1 .- M
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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Accuracy estimates and adaptive refinements is nowadays one of the main research topics in finite element computations [6,7,8, 9,11].Its extension to Boundary Elements has been tried as a means to better understand its capabilities as well as to impro ve its efficiency and its obvious advantages. The possibility of implementing adaptive techniques was shown [1,2] for h-conver gence and p-convergence respectively. Some posterior works [3,4 5,10] have shown the promising results that can be expected from those techniques. The main difficulty is associated to the reasonable establishment of “estimation” and “indication” factors related to the global and local errors in each refinement. Although some global measures have been used it is clear that the reduction in dimension intrinsic to boundary elements (3D→2D: 2D→1D) could allow a direct comparison among residuals using the graphic possibilities of modern computers and allowing a point-to-point comparison in place of the classical global approaches. Nevertheless an indicator generalizing the well known Peano’s one has been produced.

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Item ID: 22296
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Deposited by: Biblioteca ETSI Industriales
Deposited on: 10 Feb 2014 07:42
Last Modified: 21 Apr 2016 14:09
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