References for Time Domain

[1] Z. Cendes, D.N. Shenton, and H. Shahnasser. "Magnetic field computation using Delaunay triangulation and complementary finite element method", IEEE Trans. on Magnetics, 19(6):2551, 1983.

[2] A. Taflove, "Application of the Finite-Difference Time-Domain Method to Sinusoidal Steady-State Electromagnetic-Penetration Problems, Electromagnetic Compatibility", IEEE Transactions on Volume EMC-22,  Issue 3,  Aug. 1980 Page(s):191 - 202

[3] P. Bonnet, X. Ferrières, B. Michielsen, and P. Klotz, "Time Domain Electromagnetics", S. M. Rao, Ed., Academic Press, 1997, ch. 9, pp. 307-367.

[4] D. Baumann, C. Fumeaux, and R. Vahldieck, "Field-Based Scattering-Matrix Extraction Scheme for the FVTD Method Exploiting a Flux-Splitting Algorithm," IEEE Trans. on Microwave Theory and Tech., vol. 53, no. 11, Nov. 2005.

[5] J-F. Lee, R. Lee, and A.C. Cangellaris, "Time-Domain Finite-Element Methods", IEEE Trans.Antennas Propag., vol. 45, pp. 430-442, Mar. 1997.

[6] B. Cockburn, G. Karniadakis, and C.-W Shu, "Discontinuous Galerkin Methods: Theory, Computation and Applications", Lecture Notes in Computational Science and Engineering (Springer-Verlag, New York, 2000), Vol. 11.

[7] J. Hesthaven,T. Warburton, "Nodal high-order methods on unstructured grids", Journal of Computational Physics, v.181 n.1, p.186-221, September 1 2002.

[8] J. Hesthaven and T. Warburton, "Nodal Discontinuous Galerkin Methods Algorithms, Analysis, and Applications", Springer series: Texts In Applied Mathematics, vol. 54, 2007.

[9] A. Buffa, I. Perugia, "Discontinuous Galerkin approximation of the Maxwell eigenproblem",SIAM J. Numer. Anal. 44, 2198, 2006.

[10] Leveque, Randall, "Finite Volume Methods for Hyperbolic Problems", Cambridge University Press, 2002.

[11] L. Fezoui, S. Lanteri, S. Lohrengel and S. Piperno, "Convergence and stability of a Discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes", ESAIM: Math. Model. and Numer. Anal., Vol. 39, No. 6, pp. 1149-1176, 2005.

[12] R.A. Chilton and R. Lee, "The discrete origin of FETD-Newmark late time instability, and a correction scheme,"  J. Comp. Physics, vol. 224, pp. 1293-1306, 2007.

[13] J.-M. Jin, The Finite Element Method in Electromagnetics, 2nd ed. Hoboken, NJ: Wiley, 2002.

[14] J.- M. Jin and D. J. Riley, Finite Element Analysis of Antennas and Arrays. Hoboken, NJ: Wiley, 2008.

[15] V. Dolean, H. Fahs, L. Fezoui, and S. Lanteri, "Locally implicit discontinuous Galerkin method for time domain electromagnetics," vol. 229, no. 2, Journal of Computational Physics, Jan. 2010.