Advances in the On-Surface Radiation Condition Method: Theory, Numerics and Applications
Résumé
The aim of this chapter is to give a comprehensive introduction to the recent advances in the On-Surface Radiation Condition method for the numerical representation of acoustic scattering problems in the frequency domain. After a presentation of the main theoretical developments in this area, the finite element formulation of the resulting problem is introduced. A few numerical tests show the efficiency and accuracy of the OSRC formulations for various model problems but also point out some difficulties remaining until now. Next, the discussion is directed towards some applications of OSRC methods to different important current problems in computational acoustic scattering: modelling of exterior domains and penetrable scatterers, improvement of existing integral equations formulations in view of a fast iterative Krylov subspace solution and other potentially interesting applications for prospecting large scale scattering problems at high frequency.