Projective method for solving the scalar diffraction problem on a nonplanar rigid screen

Background. The aim of the work is theoretical justification of a numerical method for solving a scattering problem of acoustic waves by infinitely thin curvilinear acoustically hard screens. Material and methods. The integral differential equation of the problem of diffraction on a screen is considered; the operator of the equation is considered as a mapping in suitable Sobolev spaces; Galerkin method is used for numerical solving of the problem.
Results. The convergence of the Galerkin method in the problem of diffraction on an acoustically rigid screen is proved; a method for constructing basis functions on non-plane smooth parameterizable screens is proposed, computational experiments are carried out.
Conclusions. The results of the numerical experiments coincide with the main theoretical result of the study; the described approach can be used for solving complicated problems of acoustic scattering.