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A Krylov Space-Based Finite Element Time Domain Method for Broadband Frequency Domain Solutions

DOI: 10.4236/oja.2017.74009, PP. 95-104

Keywords: Time Domain Method, Krylov Space, Frequency Domain, Petrov Galerkin

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Abstract:

A Krylov space based time domain method for wave propagation problems is introduced. The proposed method uses the Arnoldi algorithm to obtain broad-band frequency domain solutions. This method is especially advantageous in cases where slow convergence is observed when using traditional time domain methods. The efficiency of the method is examined in several test cases to show its fast convergence in such problems.

References

[1]  Taflove, A. and Hagness, S.C. (2000) Computational Electrodynamics. Artech House Publishers, London.
[2]  Anderson, W.K., Wang, L., Kapadia, S., Tanis, C. and Hilbert, B. (2011) Petrov-Galerkin and Discontinuous-Galerkin Methods for Time-Domain and Frequency-Domain Electromagnetic Simulations. Journal of Computational Physics, 230, 8360-8385.
https://doi.org/10.1016/j.jcp.2011.06.025
[3]  Lin, W. (2016) Design Optimization of Acoustic Metamaterials and Phononic Crystals with a Time Domain Method. PhD Dissertation, University of Tennessee at Chattanooga, Chattanooga, TN.
[4]  Lin, W., Newman, J.C., Anderson, W.K. and Zhang, X. (2017) Topology and Shape Optimization of Broadband Acoustic Metamaterials and Phononic Crystals. Acoustical Science and Technology, 38, 254-260.
https://doi.org/10.1250/ast.38.254
[5]  Druskin, V. and Knizhnerman, L. (1994) Spectral Approach to Solving Three-Dimensional Maxwell’s Diffusion Equations in the Time and Frequency Domains. Radio Science, 29, 937-953.
https://doi.org/10.1029/94RS00747
[6]  Botchev, M.A. (2016) Krylov Subspace Exponential Time Domain Solution of Maxwell’s Equations in Photonic Crystal Modeling. Journal of Computational and Applied Mathematics, 293, 20-34.
https://doi.org/10.1016/j.cam.2015.04.022
[7]  Grimm, V. and Hochbruck, M. (2006) Error Analysis of Exponential Integrators for Oscillatory Second-Order Differential Equations. Journal of Physics A: Mathematical and General, 39, 5495.
https://doi.org/10.1088/0305-4470/39/19/S10
[8]  Brooks, A.N. and Hughes, T.J. (1982) Streamline Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations. Computer Methods in Applied Mechanics and Engineering, 32, 199-259.
https://doi.org/10.1016/0045-7825(82)90071-8
[9]  Arnoldi, W.E. (1951) The Principle of Minimized Iterations in the Solution of the Matrix Eigenvalue Problem. Quarterly of Applied Mathematics, 9, 17-29.
https://doi.org/10.1090/qam/42792
[10]  Mur, G. (1981) Absorbing Boundary Conditions for the Finite-Difference Approximation of the Time-Domain Electromagnetic-Field Equations. IEEE Transactions on Electromagnetic Compatibility, EMC-23, 377-382.
https://doi.org/10.1109/TEMC.1981.303970

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