Interior penalty DG methods for Maxwell’s equations in dispersive media

In this paper, we develop a fully-discrete interior penalty discontinuous Galerkin method for solving the time-dependent Maxwell’s equations in dispersive media. The model is described by a vector integral–differential equation. Our scheme is proved to be unconditionally stable and achieve optimal e...

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Bibliographic Details
Published inJournal of computational physics Vol. 230; no. 12; pp. 4559 - 4570
Main Authors Huang, Yunqing, Li, Jichun, Yang, Wei
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Inc 01.06.2011
Elsevier
Subjects
Computational techniques
Discontinuous Galerkin method
Dispersive media
Exact sciences and technology
Galerkin methods
Mathematical analysis
Mathematical methods in physics
Mathematical models
Maxwell's equations
Media
Norms
Optimization
Physics
Vectors (mathematics)
Discontinuous Galerkin method
Dispersive media
Maxwell’s equations
Galerkin-Petrov method
Integral equations
Differential equations
Models
Calculation
Maxwell's equations
Maxwell equations
Vector equation
Calculation methods
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Summary:In this paper, we develop a fully-discrete interior penalty discontinuous Galerkin method for solving the time-dependent Maxwell’s equations in dispersive media. The model is described by a vector integral–differential equation. Our scheme is proved to be unconditionally stable and achieve optimal error estimates in both L 2 norm and energy norm. The scheme is implemented and numerical results supporting our analysis are presented.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2011.02.031