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URN: urn:nbn:de:swb:90-477859

Numerical Analysis of the Electro-Magnetic Perfectly Matched Layer in a Discontinuous Galerkin Discretization

Schulz, Andreas

Abstract:
This work is devoted to the numerical analysis of time-domain linear Maxwell's equations in a discontinuous Galerkin discretization. We focus on Berenger's perfectly matched layer and have a detailed look at construction, well-posedness, and semi-discrete error analysis. We present an analytic solution to the system, that can be utilized to efficiently determine optimal parameter values for the layer and state a way to avoid an exponential growth in time of the semi-discrete error bound.


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Jahr 2015
Sprache Englisch
Identifikator KITopen ID: 1000047785
Verlag Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdaten 18.02.2015
Referent/Betreuer Prof. C. Wieners
Schlagworte Maxwell's equations, discontinuous Galerkin method, perfectly matched layer, parameter determination, error analysis
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