A VARIATIONAL BOUNDARY ELEMENT INTEGRAL WITH TAYLOR EXPANSION FOR POTENTIAL PROBLEM

A VARIATIONAL BOUNDARY ELEMENT INTEGRAL WITH TAYLOR EXPANSION FOR POTENTIAL PROBLEM

In this paper, the singularity appearing in the variational boundary integral formulation for potential problem is addressed. The Taylor series expansion is used to expand terms inside the weakly and strongly singular integral kernels around the singular point. In this approach, the singularities in...

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Veröffentlicht in:Journal of engineering and applied science (Online) 2014-02, Vol.61 (1), p.43-63
Hauptverfasser: Naga, T H A, Rashed, Y F, Saad, A A
Format: Artikel
Sprache:eng
Schlagworte:
Boundaries
Boundary element method
Formulations
Integrals
Kernels
Mathematical analysis
Singularities
Taylor series
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Zusammenfassung:In this paper, the singularity appearing in the variational boundary integral formulation for potential problem is addressed. The Taylor series expansion is used to expand terms inside the weakly and strongly singular integral kernels around the singular point. In this approach, the singularities involved in the integration kernels are analytically removed by excluding the singular point from the proposed integral and applying analytical integrations.
ISSN:1110-1903