CONVERGENT ADAPTIVE FINITE ELEMENT METHODS FOR PHOTONIC CRYSTAL APPLICATIONS

DOI10.1142/S0218202512500285zbMath1256.65094OpenAlexW2057501633MaRDI QIDQ3166766

Stefano Giani

Publication date: 15 October 2012

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202512500285

zbMATH Keywords

convergencenumerical resultsdiscontinuous coefficientselectric fieldmagnetic fieldfinite element methodsMaxwell's equationselectromagnetic wavesadaptive algorithmelliptic eigenvalue problemssecond-order problemsphotonic crystalsoscillation-freespectral band gapsnon-coercive elliptic operators

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of crystals (82D25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Electromagnetic theory (general) (78A25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Maxwell equations (35Q61)

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