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

Martin Costabel (IRMAR); Monique Dauge (IRMAR); Samuel Shannon; Zohar Yosibash

arxiv: 1212.4327 · v1 · pith:NVKNXUVTnew · submitted 2012-12-18 · 🧮 math.NA

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 (IRMAR) , Martin Costabel (IRMAR) This is my paper

classification 🧮 math.NA

keywords circulardualfunctionsprimalboundaryconditionscrackedge

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

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