I. Babuka, F. Ihlenburg, T. Strouboulis, and S. K. Gangaraj, "A posteriori error estimation for finite element solutions of Helmholtz' equation- Part II: Estimation of the pollution error," Int. J. Numer. Methods Eng., vol. 40, no. 21, pp. 3883-3900, 1997.
R. J. Astley and W. Eversman, "Finite element formulations for acoustical radiation," J. Sound Vib., vol. 88, pp. 47-64, 1983.
C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers. New York: McGraw-Hill, 1978.
O. Bruno, C. Geuzaine, J. Monro, Jr., and F. Reitich, "Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: The convex case," Philos. Trans. Roy. Soc. A: Math., Phys. Eng. Sci., vol. 362, no. 1816, pp. 629-645, 2004.
E. Giladi and J. B. Keller, "A hybrid numerical asymptotic method for scattering problems," J. Comput. Phys., vol. 174, pp. 226-247, 2001.
O. Laghrouche and P. Bettess, "Short wave modelling using special finite elements," J. Comput. Acoust., vol. 8, no. 1, pp. 189-210, 2000.
A. Bayliss, M. Gunzburger, and E. Turkel, "Boundary conditions for the numerical solution of elliptic equations in exterior regions," SIAM J. Appl. Math., vol. 42, pp. 430-451, 1982.
I. Harari, M. Slavutin, and E. Turkel, "Analytical and numerical studies of a finite element PML for the Helmholtz equation," J. Comput. Acoust., vol. 8, no. 1, pp. 121-137, 2000.
Y. Y. Lu, "Some techniques for computing wave propagation in optical waveguides," Commun. Comput. Phys., vol. 1, no. 6, pp. 1056-1075, 2006.
M. Levy, Parabolic Equation Methods for ElectromagneticWave Propagation, ser. IEE ElectromagneticWaves Series. London, U.K.: IEE, 2000, vol. 45.
C. Geuzaine, O. Bruno, and F. Reitich, "On the O(1) solution of multiple-scattering problems," IEEE Trans. Magn., vol. 41, no. 5, pp. 1488-1491, May 2005.
J. B. Keller and R. M. Lewis, Asymptotic Methods for Partial Differential Equations: The ReducedWave Equation and Maxwell's Equations, ser. Surveys in Applied Mathematics. New York: Plenum, 1995, vol. 1, pp. 1-82.
J. Sethian, "A fast marching level set method for monotonically advancing fronts," Proc. Natl. Acad. Sci., vol. 93, pp. 1591-1595, 1996.
X. Antoine, "Fast approximate computation of a time-harmonic scattered field using the on-surface radiation condition method," IMA J. Appl. Math., vol. 66, pp. 83-110, 2001.