On the accuracy of numerical wave simulations based on finite methods

Journal of Electromagnetic Waves and Applications

Volumn 6, Issue 7, 1992, Pages 1635-1653

  Cangellaris, A C ^a   Lee, R ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84950827479     PISSN: 09205071     EISSN: 15693937     Source Type: Journal    
DOI: 10.1163/156939392X02029     Document Type: Article

References (12)

1. Bayliss, A., C. I. Goldstein and E. Turkel, “On accuracy conditions for the numerical computation of waves,” NASA ICASE Report No. 84-38, Aug. 1984.
2. Pearson, L. W., R. A. Whitaker, L. J. Bahrmasel and A. F. Peterson, “Observations on the errors in finite element computations for the Helmholtz equation,” 1989 URSI Radio Science Meeting, 203, San Jose, CA, June 1989.
3. Fang., J., Time domain finite difference computations for Maxwell’s equations, Ph.D. Dissertation, EECS Dept., University of California, Berkeley, CA, 1989.
4. Lee, R., Rigorous grid truncation for the finite element solution of electromagnetic scattering problems, Ph.D. Dissertation, ECE Dept., University of Arizona, Tucson, AZ, 1990.
5. Peterson, A. F., and R. J. Baca, “Error in the finite element discretization of the scalar Helmholtz equation over electrically large regions,” IEEE Microwave and Guided Wave Letters, Vol. 1, 219-222, Aug. 1991.
6. Lynch, D. R., K. D. Paulsen and J. W. Strohbehn, “Finite element solution of Maxwell’s equations for hyperthermia treatment planning,” J. Comp. Physics, Vol. 58, 264-269, 1985.
7. Taflove, A., and K. R. Umashankar, “The finite-difference time-domain method for numerical modeling of electromagnetic wave interactions,” Electromagnetics, Vol. 10, 105-127, 1990.
8. Miller, K. S., Linear Difference Equations, W. A. Benjamin, New York, 1986.
9. Mullen, R., and T. Belytschko, “Dispersion analysis of finite element semi discretizations of the two-dimensional wave equation,” Int. J. Num. Methods Engr., Vol. 18, 11-29, 1982.
10. Lee, R., and A. Cangellaxis, “A study of discretization error in the finite element approximation of wave solutions,” submitted to IEEE Trans. Antennas Propagat.
11. Strang, G., and G. J. Fix, An Analysis of the Finite Element Method, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1973.
12. Vichnevetsky, R., and J. Bowles, Fourier Analysis of Numerical Approximations of Hyperbolic Equations, SIAM, Philadelphia, 1982.