A New Nonconforming Finite Element Method for the Computation of Electromagnetic Guided Waves. I: Mathematical Analysis

DOI10.1137/S0036142993256817zbMath0861.65092MaRDI QIDQ4891722

Patrick Joly, Christine Poirier, Jean Elizabeth Roberts, Pascal Trouvé

Publication date: 24 April 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergenceerror estimatesfinite elementsHelmholtz equationwave guidevariational eigenvalue problemelectromagnetic guided waves

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Full-wave analysis of dielectric waveguides at a given frequency ⋮ Analysis of the non-reflecting boundary condition for the time-harmonic electromagnetic wave propagation in waveguides ⋮ Discrete compactness and the approximation of Maxwell's equations in $\mathbb{R}^3$ ⋮ Theoretical analysis of Nedelec's edge elements ⋮ Maxwell eigenvalues and discrete compactness in two dimensions ⋮ A high order isoparametric finite element method for the computation of waveguide modes ⋮ ON THE WELL-POSEDNESS, STABILITY AND ACCURACY OF AN ASYMPTOTIC MODEL FOR THIN PERIODIC INTERFACES IN ELECTROMAGNETIC SCATTERING PROBLEMS ⋮ \(hp\)-vector finite element method for eigenmode analysis of waveguides