Alexander Bulovyatov
Efficient Band Structure Computation of 3D Photonic Crystals: a Parallel Multigrid Method with Higher Order Modified Finite Elements for the 3D Periodic Eigenvalue Problem in the Curl-curl Formulation Alexander Bulovyatov

Name: Efficient Band Structure Computation of 3D Photonic Crystals: a Parallel Multigrid Method with Higher Order Modified Finite Elements for the 3D Periodic Eigenvalue Problem in the Curl-curl Formulation
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Author: Alexander Bulovyatov

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Efficient Band Structure Computation of 3D Photonic Crystals: a Parallel Multigrid Method with Higher Order Modified Finite Elements for the 3D Periodic Eigenvalue Problem in the Curl-curl Formulation

Alexander Bulovyatov

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.

メディア	書籍 Paperback Book (ソフトカバーで背表紙を接着した本)
リリース済み	2010年7月7日
ISBN13	9783838118406
出版社	Südwestdeutscher Verlag für Hochschulsch
ページ数	96
寸法	225 × 6 × 150 mm · 161 g
言語	ドイツ語