A parallel time-domain Maxwell solver using upwind schemes and triangular meshes. (English) Zbl 0788.65119

Cioni, J. P.; Fezoui, L.; Steve, H.

IMPACT Comput. Sci. Eng. 5, No. 3, 215-247 (1993).

A time-domain solver is developed using a method from computational fluid dynamics to solve numerically the time-dependent 2D Maxwell system. The time-domain solver is based on a mixed finite-volume/finite-element method using a third-order accurate upwind scheme, and a three-stage explicit Runge-Kutta scheme is applied to the time integration. This results in a high-order-accurate scheme in both the time and the spatial variables.
Some questions, such as the treatment of the divergence-free-conditions and also the capture of the Maxwell solutions in the frequency domain, are discussed and some solutions are proposed. Numerical experiments are presented and the computed solutions are compared with the analytical ones or with the corresponding integral equation method solutions.

Reviewer: S.Jiang (Bonn)

MSC:

65Z05	Applications to the sciences
65M60	Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs
35Q60	PDEs in connection with optics and electromagnetic theory
65Y05	Parallel numerical computation
78A25	Electromagnetic theory (general)

Keywords:

numerical experiments; time-domain solver; Maxwell system; mixed finite- volume/finite-element method; upwind scheme; explicit Runge-Kutta scheme; integral equation method