Abstract
Hypersingular boundary integral equations (HBIE) have been studied very intensively in recent years especially because of their application for precise computations of potential gradient and stresses on the boundary. One free term which in general does not vanish for non-smooth boundary points with adjacent curved boundary parts has been omitted in previous formulations of HBIE. This paper demonstrates the presence of this new free term in 2D and 3D HBIE of potential gradient. Simple formulae for coefficients of both this new free term related to potential value and that related to potential gradient value, suitable for evaluation in the boundary element method, are derived in detail.
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