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URN: urn:nbn:de:swb:90-183066

A parallel multigrid method for band structure computation of 3D photonic crystals with higher order finite elements

Bulovyatov, Alexander

Abstract:
The band structure computation turns into solving a family of Maxwell eigenvalue problems on the periodicity domain. The discretization is done by the finite element method with special higher order H(curl)- and H1-conforming modified elements. The eigenvalue problem is solved by a preconditioned iterative eigenvalue solver with a projection onto the divergence-free vector fields. As a preconditioner we use the parallel multigrid method with a special Hiptmair smoother.


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Publikationstyp Hochschulschrift
Jahr 2010
Sprache Englisch
Identifikator KITopen-ID: 1000018306
Verlag Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Angewandte und Numerische Mathematik (IANM)
Prüfungsdaten 19.05.2010
Referent/Betreuer Prof. C. Wieners
Schlagworte photonic crystals, finite elements, multigrid, Maxwell equations, eigenvalue solver
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