Assous, F.; Degond, P.; Heintze, E.; Raviart, P. A.; Segre, J. On a finite-element method for solving the three-dimensional Maxwell equations. (English) Zbl 0795.65087 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) Cited in 1 ReviewCited in 74 Documents 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 PDF BibTeX XML Cite \textit{F. Assous} et al., J. Comput. Phys. 109, No. 2, 222--237 (1993; Zbl 0795.65087) Full Text: DOI