Paper Info
Title
An a posteriori error estimator for $$hp$$ -adaptive continuous Galerkin methods for photonic crystal applications.
Abstract
In this paper we propose and analyse an error estimator suitable for \(hp\)-adaptive continuous finite element methods for computing the band structure and the isolated modes of 2D photonic crystal (PC) applications. The error estimator that we propose is based on the residual of the discrete problem and we show that it leads to very fast convergence in all considered examples when used with \(hp\)-adaptive refinement techniques. In order to show the flexibility and robustness of the error estimator we present an extensive collection of numerical experiments inspired by real applications. In particular we are going to consider PCs with point defects, PCs with line defects, bended waveguides and semi-infinite PCs.
Year
DOI
Venue
2013
10.1007/s00607-012-0244-6
Computing
Keywords
DocType
Volume
Eigenvalue problem, Finite element method, $$hp$$-adaptivity, A posteriori error estimator, Photonic crystals, 65N25, 65N30, 65N50
Journal
95
Issue
ISSN
Citations 
5
1436-5057
2
PageRank 
References 
Authors
0.45
7
1
Name
Order
Citations
PageRank
Stefano Giani1369.55