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Three‐dimensional unstructured‐grid discontinuous Galerkin method for Maxwell's equations with well‐posed perfectly matched layer
Author(s) -
Xiao Tian,
Liu Qing H.
Publication year - 2005
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.21016
Subject(s) - discontinuous galerkin method , perfectly matched layer , maxwell's equations , grid , galerkin method , tetrahedron , finite difference time domain method , microwave , domain (mathematical analysis) , mathematical analysis , computer science , physics , mathematics , geometry , finite element method , optics , telecommunications , thermodynamics
In this paper, a 3D discontinuous Galerkin method (DGM) is developed to solve Maxwell's equations. It utilizes an unstructured grid, where objects are divided into a number of tetrahedrons. To model the propagation of electromagnetic waves in an open region, a well‐posed perfectly matched layer (PML) is applied to truncate the computational domain by absorbing outgoing waves. The analyses show that this method is highly accurate and efficient and has the ability to accurately model curved objects. Therefore, it is well‐suited for modeling large‐scale, broadband problems with complex geometries. Some examples, including a photonic bandgap structure, are shown to illustrate the features and applications of this discontinuous Galerkin method. © 2005 Wiley Periodicals, Inc. Microwave Opt Technol Lett 46: 459–463, 2005; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21016