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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
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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.
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | July 7, 2010 |
| ISBN13 | 9783838118406 |
| Publishers | Südwestdeutscher Verlag für Hochschulsch |
| Pages | 96 |
| Dimensions | 225 × 6 × 150 mm · 161 g |
| Language | German |
