Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Parallel solution of the multidimensional Helmhotz/Schroedinger equation using high order methods
Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998)
On a class of preconditioners for solving the Helmholtz equation
Applied Numerical Mathematics
Higher-Order Fourier Approximation in Scattering by Two-Dimensional, Inhomogeneous Media
SIAM Journal on Numerical Analysis
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A Sherman-Morrison approach to the solution of linear systems
Journal of Computational and Applied Mathematics
Preconditioning techniques for the iterative solution of scattering problems
Journal of Computational and Applied Mathematics
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We consider an electromagnetic scattering problem for inhomogeneous media. In particular, we focus on the numerical computation of the electromagnetic scattered wave generated by the interaction of an electromagnetic plane wave and an inhomogeneity in the corresponding propagation medium. This problem is studied in the VV polarization case, where some special symmetry requirements for the incident wave and for the inhomogeneity are assumed. This problem is reformulated as a Fredholm integral equation of second kind, which is discretized by a linear system having a special form. This allows to compute efficiently an approximate solution of the scattering problem by using iterative techniques for linear systems. Some numerical examples are reported.