Integral equation methods for scattering from an impedance crack

[摘要] For the scattering problem for time-harmonic waves from an impedance crack in two dimensions, we give a uniqueness and existence analysis via a combined single- and double-layer potential approach in a Holder space setting leading to a system of integral equations that contains a hypersingular operator. For its numerical solution we describe a fully discrete collocation method based on trigonometric interpolation and interpolatory quadrature rules including a convergence analysis and numerical examples. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-12-01

[关键词] Helmholtz equation;impedance crack;integral equation;collocation method