Discontinuous Galerkin approximations for computing electromagnetic Bloch modes in photonic crystals

DOI10.1007/s10915-016-0270-1zbMath1362.78008OpenAlexW2507742863MaRDI QIDQ520220

Zhongjie Lu, J. J. W. van der Vegt, Yan Xu, Aycil Cesmelioglu

Publication date: 3 April 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0270-1

zbMATH Keywords

mixed finite element methodsMaxwell equationsdiscontinuous Galerkin methodseigenvalue problemsband structurephotonic crystalsdiscrete compactness property

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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) Lasers, masers, optical bistability, nonlinear optics (78A60) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Maxwell equations (35Q61)

Related Items (6)

Small collaboration: Numerical analysis of electromagnetic problems. Abstracts from the mini-workshop held March 21--27, 2021 (hybrid meeting) ⋮ A parallel eigensolver for photonic crystals discretized by edge finite elements ⋮ A FETD scheme and analysis for photonic crystal waveguides comprising third-order nonlinear and linear materials ⋮ Band Structure Calculations of Three-Dimensional Anisotropic Photonic Crystals in the Oblique Coordinate System ⋮ An efficient and unified method for band structure calculations of 2D anisotropic photonic-crystal fibers ⋮ Physics-Based Kriging Surrogates for a Class of Finite Element Codes

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