Numerical solution of the Maxwell equations in nonlinear media

Author

Miano, G. ; Serpico, C. ; Verolino, L. ; Villone, F.

Author_Institution

Dipartimento di Ingegneria Elettrica, Naples Univ., Italy

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

950

Lastpage

953

Abstract

Some aspects concerning the finite element solution of electromagnetic propagation in nonlinear media are studied through complementary formulations of the Maxwell equations. Nonlinear hyperbolic equations discontinuous solutions even if the initial and boundary conditions are regular. The numerical solution definitively breaks and the Galerkin method does not converge any more after the time at which sharp discontinuity is developed. The sharpening of the solution is related to the loss of its uniqueness

Keywords

Galerkin method; Maxwell equations; convergence of numerical methods; electromagnetic wave propagation; finite element analysis; hyperbolic equations; nonlinear equations; Galerkin method; Maxwell equations; boundary conditions; convergence; discontinuity; discontinuous solutions; electromagnetic propagation; finite element solution; initial conditions; nonlinear hyperbolic equations; nonlinear media; numerical solution; solution sharpening; Boundary conditions; Convergence of numerical methods; Electromagnetic propagation; Finite element methods; Maxwell equations; Moment methods; Nonlinear equations; Propagation losses; Shock waves; Transmission lines;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497399

Filename

497399