High-Order Discontinuous Galerkin Methods for Computational Electromagnetics and Uncertainty Quantification

  • J. S. Hesthaven
  • T. Warburton
  • C. Chauviere
  • L. Wilcox
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 14)


We discuss the basics of discontinuous Galerkin methods (DG) for CEM as an alternative of emerging importance to the widely used FDTD. The benefits of DG methods include geometric flexibility, high-order accuracy, explicit time-advancement, and very high parallel performance for large scale applications. The performance of the scheme shall be illustrated by several examples. As an example of particular interest, we further explore efficient probabilistic ways of dealing with uncertainty and uncertainty quantification in electromagnetics applications. Whereas the discussion often draws on scattering applications, the techniques are applicable to general problems in CEM.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • J. S. Hesthaven
    • 1
  • T. Warburton
    • 2
  • C. Chauviere
    • 3
  • L. Wilcox
    • 4
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA
  2. 2.Department of Computational and Applied MathematicsRice UniversityHoustonUSA
  3. 3.Laboratoire de MathématiquesUniversité Blaise PascalAubièreFrance
  4. 4.Institute for Computational Engineering and Sciences (ICES)University of Texas at AustinAustinUSA

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