A finite element technique for solving the two-dimensional Maxwell's equations in the time domain
In this paper, we present a two-dimensional Galerkin finite element formulation of the Maxwell's equations in the time domain. The Galerkin element integrals are computed analytically and an explicit forward-backward time integration scheme is employed for advancing the resulting set of ordinary differential equations in time. We will compare two formulations of the simple 4-node bilinear element: an equal-order interpolation element in which both the electric field and the magnetic field are approximated by bilinear basis functions; and a mixed-interpolation element in which the electric field is approximated as piecewise constant and the magnetic field as piecewise bilinear functions. The mixed formulation may be viewed as a finite element analog to certain staggered finite difference representations. Numerical examples will be presented to evaluate the accuracy of these two elements. 5 refs., 3 figs.
- Research Organization:
- Lawrence Livermore National Lab., CA (USA)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 6994309
- Report Number(s):
- UCRL-97390; CONF-880936-3; ON: DE88013818
- Country of Publication:
- United States
- Language:
- English
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Time domain solutions of Maxwell's equations using a finite-volume formulation
Time domain solutions of Maxwell's equations using a finite-volume formulation
Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE ELEMENT METHOD
MAXWELL EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
WAVE FORMS
WAVE PROPAGATION