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dc.contributor.author
Claeys, Xavier
dc.contributor.author
Hiptmair, Ralf
dc.date.accessioned
2017-06-09T18:14:26Z
dc.date.available
2017-06-09T18:14:26Z
dc.date.issued
2011-11
dc.identifier.uri
http://hdl.handle.net/20.500.11850/43562
dc.description.abstract
Since matrix compression has paved the way for discretizing the boundary integral equation formulations of electromagnetics scattering on very fine meshes, preconditioners for the resulting linear systems have become key to efficient simulations. Operator preconditioning based on Calderon identities has proved to be a powerful device for devising preconditioners. However, this is not possible for the usual first-kind boundary formulations for electromagnetic scattering at general penetrable composite obstacles. We propose a new first-kind boundary integral equation formulation following the reasoning employed in [X.Claeys and R.Hiptmair, Boundary integral formulation of the first kind for acoustic scattering by composite structures, Technical Report no. 2011-45, SAM, ETH Zuerich, 2011] for acoustic scattering. We call it multi-trace formulation, because its unknowns are two pairs of traces on interfaces in the interior of the scatterer. We give a comprehensive analysis culminating in a proof of coercivity, and uniqueness and existence of solution. We establish a Calderon identity for the multi-trace formulation, which forms the foundation for operator preconditioning in the case of conforming Galerkin boundary element discretization.
dc.language.iso
en
dc.publisher
SAM, ETH Zürich
dc.title
Electromagnetic scattering at composite objects
dc.type
Report
ethz.title.subtitle
A novel multi-trace boundary integral formulation
ethz.journal.title
Research Reports
ethz.journal.volume
2011-58
ethz.size
32 p.
ethz.notes
See also: http://e-citations.ethbib.ethz.ch/view/pub:97215.
ethz.publication.place
Zürich
ethz.publication.status
published
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
ethz.date.deposited
2017-06-09T18:14:51Z
ethz.source
ECIT
ethz.identifier.importid
imp59364ecca884c41606
ethz.ecitpid
pub:72163
ethz.eth
yes
ethz.availability
Metadata only
ethz.rosetta.installDate
2017-07-20T13:16:39Z
ethz.rosetta.lastUpdated
2018-10-01T15:07:45Z
ethz.rosetta.versionExported
true
ethz.COinS
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