In this paper, we describe a Nystrom integration method for the integral operator T which is the normal derivative of the double-layer potential arising in problems of two-dimensional acoustic scattering by infinite rough interfaces. The hypersingular kernel and unbounded integral interval of T are the key difficulties. By using a mollifier, we separately deal with these two difficulties and propose its Nystrom integration method. Furthermore, we establish convergence of the method. Finally, we apply the method to the scattering problem by infinite rough interfaces and carry out some numerical experiments to show the validity.
['Jianliang Li', 'Guanying Sun', 'Ruming Zhang']
The numerical solution of scattering by infinite rough interfaces based on the integral equation method