Modified edge finite elements for photonic crystals

DOI10.1007/s00211-006-0037-yzbMath1129.65082OpenAlexW1979081926MaRDI QIDQ857861

Daniele Boffi, Matteo Conforti, Lucia Gastaldi

Publication date: 5 January 2007

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-006-0037-y

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Band Structure Calculations of Dispersive Photonic Crystals in 3D using Holomorphic Operator Functions, CONVERGENT ADAPTIVE FINITE ELEMENT METHODS FOR PHOTONIC CRYSTAL APPLICATIONS, Numerical realization of Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides, A parallel eigensolver for photonic crystals discretized by edge finite elements, Finite element calculation of photonic band structures for frequency dependent materials, A FETD scheme and analysis for photonic crystal waveguides comprising third-order nonlinear and linear materials, Regular decomposition and a framework of order reduced methods for fourth order problems, Adaptive finite element methods for computing band gaps in photonic crystals, A finite element frequency domain method for 2D photonic crystals, Finite element systems for vector bundles: elasticity and curvature, An a posteriori error estimator for \(hp\)-adaptive discontinuous Galerkin methods for computing band gaps in photonic crystals, A finite element based fast eigensolver for three dimensional anisotropic photonic crystals, An a posteriori error estimator for \(hp\)-adaptive continuous Galerkin methods for photonic crystal applications, Discontinuous Galerkin approximations for computing electromagnetic Bloch modes in photonic crystals, Interpolation estimates for edge finite elements and application to band gap computation, Computation of the band structure of two-dimensional photonic crystals with \(hp\) finite elements

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