Abstract
Boundary integral equations with extremely singular (i.e., more than hypersingular) kernels would be useful to obtain second and third order derivatives of the primary variable on the boundary. In this paper it is shown how to obtain these boundary integral equations with still unnamed singularities and, moreover, how to efficiently and reliably compute all the singular integrals. This is done by extending in full generality the so called direct approach.
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Guiggiani, M., Frangi, A. (2001). Investigating Unnamed Singularities. In: Burczynski, T. (eds) IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9793-7_12
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DOI: https://doi.org/10.1007/978-94-015-9793-7_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5737-2
Online ISBN: 978-94-015-9793-7
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