An a posteriori error estimator for \(hp\)-adaptive continuous Galerkin methods for photonic crystal applications

DOI10.1007/s00607-012-0244-6zbMath1311.78015OpenAlexW2057595481MaRDI QIDQ488315

Stefano Giani

Publication date: 26 January 2015

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-012-0244-6

zbMATH Keywords

finite element methodeigenvalue problema posteriori error estimator\(hp\)-adaptivityphotonic crystals

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items

A finite element method for the band structure computation of photonic crystals with complex scatterer geometry, \(khp\)-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory, An \(hp\)-adaptive discontinuous Galerkin method for plasmonic waveguides, Solving elliptic eigenvalue problems on polygonal meshes using discontinuous Galerkin composite finite element methods

Uses Software

• MUMPS
• ARPACK

Cites Work

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