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• W2020684857 abstract "It is shown how the analysis of singular integrals by the continuation approach leads to a simple and effective treatment of corners in the BEM. Not unlike the case of smooth boundaries, the gauge conditions (required for the existence of strongly singular and hypersingular integrals) must be imposed as additional constraints on the functionality of the loadings in order to get bounded and well behaved (near-)boundary fields in the vicinity of corners. This leads to a set of extra equations that balances the total number of degrees of freedom, when a collocation point is placed at the corner. Although perhaps the main advantage of the continuation approach is its suitability for a purely numerical approach, thus overcoming the complications of strictly analytical methods, the resulting formulae can be treated analytically for simple problems. Two analytical examples are presented to demonstrate the method's ease of application." @default.
• W2020684857 created "2016-06-24" @default.
• W2020684857 creator A5008981851 @default.
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• W2020684857 date "1995-01-01" @default.
• W2020684857 modified "2023-10-18" @default.
• W2020684857 title "On corner analysis in the BEM by the continuation approach" @default.
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• W2020684857 doi "https://doi.org/10.1016/0955-7997(95)00061-5" @default.
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