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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.

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Dr. Alexander Bulovyatov was born in Aleysk, Russia in 1981. In2005 he graduated Novosibirsk State University as M.Sc. inApplied Mathematics. 2004-2006 he worked for Intel corp. asparallel software developer. Since 2006 he lives in Germany, in2010 he received degree Dr. rer. nat. in University Karlsruhe(KIT). E-mail: bulovyatov@gmail.com

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