ON THE ACCURACY OF NUMERICAL WAVE SIMULATIONS BASED ON FINITE METHODS

被引：31

作者：

CANGELLARIS, AC

LEE, R

机构：

[1] Electromagnetics Laboratory, Department of Electrical and Computer Engineering, University of Arizona, Tucson, AZ

[2] Electroscience Laboratory, Department of Electrical Engineering, Ohio State University, Columbus, OH

来源：

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS | 1992年 / 6卷 / 12期

关键词：

D O I：

10.1163/156939392X00779

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The numerical error associated with the simulation of linear wave phenomena using finite methods in both the frequency and time domain is considered. Both exact and numerically generated solutions of finite difference and finite element approximations to the scalar Helmholtz equation in one and two dimensions are used to demonstrate the dependence of the accuracy of the discrete solution on the number of nodes per wavelength, the electrical size of the computational domain, the order of the discretization, and the type of boundary conditions used. The results from these studies, as well as results from similar studies for finite difference approximations of Maxwell's equations in the time domain, are used to generate simple expressions for selecting the nodal density to maintain a desirable accuracy.

引用

页码：1635 / 1653

页数：19

共 12 条

[1] Bayliss A., Goldstein C.I., Turkel E., On accuracy conditions for the numerical computation of waves, NASA ICASE Report No. 84-38, (1984)
[2] Pearson L.W., Whitaker R.A., Bahrmasel L.J., Peterson A.F., Observations on the errors in finite element computations for the helmholtz equation, 1989 URSI Radio Science Meeting, (1989)
[3] Fang J., Time Domain Finite Difference Computations for Maxwell’s Equations, (1989)
[4] Lee R., Rigorous Grid Truncation for the Finite Element Solution of Electromagnetic Scattering Problems, (1990)
[5] Peterson A.F., Baca R.J., Error in the finite element discretization of the scalar helmholtz equation over electrically large regions, IEEE Microwave and Guided Wave Letters, 1, pp. 219-222, (1991)
[6] Lynch D.R., Paulsen K.D., Strohbehn J.W., Finite element solution of maxwells equations for hyperthermia treatment planning, J. Comp. Physics, 58, pp. 264-269, (1985)
[7] Taflove A., Umashankar K.R., The finite-difference time-domain method for numerical modeling of electromagnetic wave interactions, Electromagnetics, 10, pp. 105-127, (1990)
[8] Miller K.S., Linear Difference Equations, (1986)
[9] Mullen R., Belytschko T., Dispersion analysis of finite element semi discretizations of the two-dimensional wave equation, Int. J. Num. Methods Engr., 18, pp. 11-29, (1982)
[10] Lee R., Cangellaris A., A study of discretization error in the finite element approximation of wave solutions, IEEE Trans. Antennas Propagat

← 1 2 →