Pointwise error estimates for boundary element calculations

V. Zarikian, L. J. Gray, Glaucio Paulino

Research output: Contribution to conferencePaper

Abstract

An essential ingredient for all adaptive boundary integral methods is a reliable estimate of the local error. This paper investigates an a posteriori error indicator based upon the evaluation of hypersingular equations. Computational experiments were performed for the two dimensional Laplace equation on interior and exterior domains, employing Dirichlet, Neumann, and mixed boundary conditions. The results indicate that the error indicator successfully tracks the form of the exact error curve. Moreover, a reasonable estimate of the magnitude of the error was also obtained.

Original languageEnglish (US)
Pages253-260
Number of pages8
StatePublished - Jan 1 1994
EventProceedings of the 9th International Conference on Boundary Element Technology - Orlando, FL, USA
Duration: Mar 1 1994Mar 1 1994

Other

OtherProceedings of the 9th International Conference on Boundary Element Technology
CityOrlando, FL, USA
Period3/1/943/1/94

Fingerprint

Laplace equation
Boundary conditions
Experiments

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Zarikian, V., Gray, L. J., & Paulino, G. (1994). Pointwise error estimates for boundary element calculations. 253-260. Paper presented at Proceedings of the 9th International Conference on Boundary Element Technology, Orlando, FL, USA, .

Pointwise error estimates for boundary element calculations. / Zarikian, V.; Gray, L. J.; Paulino, Glaucio.

1994. 253-260 Paper presented at Proceedings of the 9th International Conference on Boundary Element Technology, Orlando, FL, USA, .

Research output: Contribution to conferencePaper

Zarikian, V, Gray, LJ & Paulino, G 1994, 'Pointwise error estimates for boundary element calculations', Paper presented at Proceedings of the 9th International Conference on Boundary Element Technology, Orlando, FL, USA, 3/1/94 - 3/1/94 pp. 253-260.
Zarikian V, Gray LJ, Paulino G. Pointwise error estimates for boundary element calculations. 1994. Paper presented at Proceedings of the 9th International Conference on Boundary Element Technology, Orlando, FL, USA, .
Zarikian, V. ; Gray, L. J. ; Paulino, Glaucio. / Pointwise error estimates for boundary element calculations. Paper presented at Proceedings of the 9th International Conference on Boundary Element Technology, Orlando, FL, USA, .8 p.
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