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Error analysis of implicit and exponential time integration of linear Maxwell's equations

Pazur, Tomislav

Abstract:
This thesis is concerned with the numerical analysis of some well-known time integration methods, such as implicit collocation methods and exponential integrators, for linear Maxwell's equations in time-domain. The error analysis of time integrators is done both for continuous Maxwell's equations in a semigroup theory framework and for space discrete problem obtained by discretizing Maxwell's equations in space by using discontinuous Galerkin finite element method.

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DOI: 10.5445/IR/1000038617
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Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Jahr 2013
Sprache Englisch
Identifikator urn:nbn:de:swb:90-386176
KITopen-ID: 1000038617
Verlag KIT, Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdaten 11.12.2013
Referent/Betreuer Prof. M. Hochbruck
Schlagworte implicit Runge-Kutta methods, time integration, discontinuous Galerkin finite element method, error analysis, Maxwell's equations
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