Integral equation methods for scattering from an impedance crack.
The authors investigate the uniqueness and existence for the scattering problem for time-harmonic waves from an impedance crack in two dimensions. They combine a single and double layer potential approach in a Hölder space setting leading to a system of integral equations that contains a hypersingular operator. Its numerical solution via a fully discrete collocation method based on trigonometric and interpolatory quadrature rules is investigated.
scientific article; zbMATH DE number 2009275