Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/3267
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Title: | Dual boundary-element method: Simple error estimator and adaptivity |
Authors: | Portela, A. |
Keywords: | DBEM non-conforming elements error estimator mesh refinement adaptive dual boundary-element method |
Issue Date: | 24-Jun-2011 |
Publisher: | Wiley |
Citation: | Portela, A.Dual boundary-element method: Simple error estimator and adaptivity, International Journal for Numerical Methods in Engineering, 86, 12, 1457-1480, 2011. |
Abstract: | This paper is concerned with the effective numerical implementation of the adaptive dual boundary-element method (DBEM), for two-dimensional potential problems. Two boundary integral equations, which are the potential and the flux equations, are applied for collocation along regular and degenerate boundaries, leading always to a single-region analysis. Taking advantage on the use of non-conforming parametric boundary-elements, the method introduces a simple error estimator, based on the discontinuity of the
solution across the boundaries between adjacent elements and implements the p, h and mixed versions of the adaptive mesh refinement. Examples of several geometries, which include degenerate boundaries, are
analyzed with this new formulation to solve regular and singular problems. The accuracy and efficiency of the implementation described herein make this a reliable formulation of the adaptive DBEM. Copyright
2011 John Wiley & Sons, Ltd.
Received 30 June 2010; Revised 17 November 2010; Accepted 26 November 2010. |
URI: | http://hdl.handle.net/10174/3267 |
ISSN: | 0029-5981 |
Type: | article |
Appears in Collections: | ERU - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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