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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.


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Jahr 2013
Sprache Englisch
Identifikator URN: urn:nbn:de:swb:90-386176
KITopen ID: 1000038617
Verlag 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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