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arXiv · 1212.4327

Primal and Shadow functions, Dual and Dual-Shadow functions for a circular crack and a circular 90 degree V-notch with Neumann boundary conditions

Samuel Shannon·Zohar Yosibash·Monique Dauge·Martin Costabel
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Abstract

This report presents explicit analytical expressions for the primal, primal shadows, dual and dual shadows functions for the Laplace equation in the vicinity of a circular singular edge with Neumann boundary conditions on the faces that intersect at the singular edge. Two configurations are investigated: a penny-shaped crack and a 90^o V-notch.

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Samuel Shannon, Zohar Yosibash, Monique Dauge, Martin Costabel. 2012-12-18. Primal and Shadow functions, Dual and Dual-Shadow functions for a circular crack and a circular 90 degree V-notch with Neumann boundary conditions. https://arxiv.org/abs/1212.4327

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