An a posteriori error estimator for \(hp\)-adaptive discontinuous Galerkin methods for computing band gaps in photonic crystals

DOI10.1016/j.cam.2012.02.007zbMath1252.82107OpenAlexW1972983079MaRDI QIDQ448450

Stefano Giani

Publication date: 6 September 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.02.007

zbMATH Keywords

finite element methodeigenvalue problema posteriori error estimates

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Statistical mechanics of crystals (82D25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lasers, masers, optical bistability, nonlinear optics (78A60) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items

Solving elliptic eigenvalue problems on polygonal meshes using discontinuous Galerkin composite finite element methods, A posteriori discontinuous Galerkin error estimator for linear elasticity, $HP$-Adaptive Celatus Enriched Discontinuous Galerkin Method for Second-Order Elliptic Source Problems

Uses Software

• ARPACK

Cites Work

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