Model Reduction Approaches for Solution of Wave Equations for Multiple Frequencies

References

1. Asvadurov, S, Druskin, V., Knizhnerman, L.
   [2000] Application of the difference Gaussian rules to the solution of hyperbolic problems. J. Comp. Phys., 158, 116–135.
   [Google Scholar]
2. Berenger, J. P.
   [1994] A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys., 114, 185–200.
   [Google Scholar]
3. Druskin, V., Guettel, S., Knizhnerman, L.
   [2013] Near-optimal perfectly matched layers for indefinite Helmholtz problems. MIMS perprint 2013.53, University of Manchester.
   [Google Scholar]
4. Druskin, V., Knizhnerman, L.
   [1998] Extended Krylov subspaces: approximation of the matrix square root and related functions. SIAM J. Matrix Anal. Appl., 19(3), 755–771.
   [Google Scholar]
5. Druskin, V., Remis, R.
   [2013] A Krylov stability-corrected coordinate stretching method to simulate wave propagation in unbounded domains. SIAM J. Sci. Comput., 35(2), B376–B400.
   [Google Scholar]
6. Jagels, C., Reichel, L.
   [2009] The extended Krylov subspace method and orthogonal Laurent polynomials. Linear Algebra Appl., 431, 441–458.
   [Google Scholar]
7. Pan, G., Abubakar, A., Habashy, T.
   [2012] An effective perfectly matched layer design for acoustic fourth-order frequency-domain finite-difference scheme. Geophys. J. Int., 188, 211–222.
   [Google Scholar]
8. Zaslavsky, M., Druskin, V., Knizhnerman, L.
   [2011] Solution of 3D time-domain electromagnetic problems using optimal subspace projection. Geophysics, 76, F339–F351.
   [Google Scholar]