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math.NA2012
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 +1
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…
math.AP2012★ 33 cited
Plane waveguides with corners in the small angle limit
Monique Dauge, Nicolas Raymond
The plane waveguides with corners considered here are infinite V-shaped strips with constant thickness. They are parametrized by their sole opening angle. We study the eigenpairs o…