On a finite-element method for solving the three-dimensional Maxwell equations. (English) Zbl 0795.65087

Assous, F.; Degond, P.; Heintze, E.; Raviart, P. A.; Segre, J.

J. Comput. Phys. 109, No. 2, 222-237 (1993).

The authors propose a constrained formulation of the 3D Maxwell equations in terms of second-order wave equations. They develop a numerical approximation for both the fields and the Lagrange multipliers, based on the modified Taylor-Hood finite element.
Preliminary results on unstructured meshes are presented in the cases of resonant cavities and coaxial finite element modes, showing the validity and the accuracy of the method.

Reviewer: L.-I.Anita (Iaşi)

MSC:

65Z05	Applications to the sciences
65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35Q60	PDEs in connection with optics and electromagnetic theory
78A25	Electromagnetic theory (general)

Keywords:

finite element method; Maxwell equations; Taylor-Hood finite element