An efficient solver for the numerical solution of EM scattering problems by many small dielectric circular obstacles

Abstract

The present paper proposes an efficient computational method for solving the time-harmonic multiple scattering problem by many small dielectric circular cylinders. The strategy proposed is based on a reduced integral equation formulation associated to diagonalization properties of the integral operators for the interior problem. In addition, we use an asymptotic approximation of the separation matrices to simplify the formulation. Using a GMRES Krylov iterative solver, accelerated by a preconditioner, we solve in a robust and efficient way the generated linear system. Numerical results support the efficiency and accuracy of the new strategy.