Finite element solution of electromagnetic problems over a wide frequency range via the Padé approximation

Computer Methods in Applied Mechanics and Engineering

Volumn 169, Issue 3-4, 1999, Pages 263-277

  Kuzuoglu, Mustafa ^a   Mittra, Raj ^b  

^a MIDDLE EAST TECHNICAL UNIVERSITY   (Turkey)

^b The Pennsylvania State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FINITE ELEMENT METHOD; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; POLYNOMIALS; PROBLEM SOLVING; VECTORS;

ABSORBING BOUNDARY CONDITIONS (ABC); PADE APPROXIMATION; PERFECTLY MATCHED LAYER (PML); POWER SERIES EXPANSION;

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 0033075543     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00157-1     Document Type: Article

References (12)

1. K.K. Mei, M.A. Morgan and S.-K. Chang, Finite methods in electromagnetic scattering, in: P.L.E. Uslenghi, ed., Electromagnetic Scattering (Academic Press, 1978) 359-392.
2. E. Chiprout and M.S. Nakhla, Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis (Kluwer Academic Publishers, 1994).
3. R. Mittra and O. Ramahi, Absorbing boundary conditions for the direct solution of partial differential equations arising in electromagnetic scattering problems, in: J.A. Kong and M.A. Morgan, eds., Differential Methods in Electromagnetic Scattering, Chap. 4 (Elsevier, New York, 1989) 133-173.
4. J.P. Berenger, A perfectly matched layer for the absorption of electromagnetic waves, J. Comput. Phys. 114 (1994) 185-200.
5. A. Bayliss, M. Gunzburger and E. Turkel, Boundary conditions for the numerical solution of elliptic equations in exterior domains, SIAM J. Appl. Math. 42 (1982) 430-451.
6. Z.S. Sacks, D.M. Kingsland R. Lee and J.-F. Lee, A perfectly matched anisotropic absorber for use as an absorbing boundary condition, IEEE Trans. Antennas Propagat. 43 (1995) 1460-1463.
7. M. Kuzuoglu and R. Mittra, Investigation of nonplanar perfectly matched absorbers for finite-element mesh truncation, IEEE Trans. Antennas Propagat. 45 (1997) 474-486.
8. C.E. Baum, The singularity expansion method, in: L.B. Felsen, ed., Transient Electromagnetic Fields (Springer Verlag, 1976).
9. K.E. Atkinson, An Introduction to Numerical Analysis, 2nd edition (Wiley, New York, 1989).
10. G.H. Golub and C.F. van Loan, Matrix Computations (The Johns Hopkins University Press, Baltimore, MD, 1983).
11. A. Pozzi, Applications of Padé Approximation Theory in Fluid Dynamics (World Scientific Publishing, 1994).
12. O.C. Zienkiewicz and K. Morgan, Finite Elements and Approximation (John Wiley & Sons, 1983).