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 88 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 PDFBibTeX XMLCite \textit{F. Assous} et al., J. Comput. Phys. 109, No. 2, 222--237 (1993; Zbl 0795.65087) Full Text: DOI