Sparse tensor edge elements
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Author / Producer
Date
2013-12
Publication Type
Journal Article
ETH Bibliography
yes
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Abstract
We consider the tensorized operator for the Maxwell cavity source problem in frequency domain. Such formulations occur when computing statistical moments of the fields under a stochastic volume excitation. We establish a discrete inf-sup condition for its Ritz-Galerkin discretization on sparse tensor product edge element spaces built on nested sequences of meshes. Our main tool is a generalization of the edge element Fortin projector to a tensor product setting. The techniques extend to the surface boundary edge element discretization of tensorized electric field integral equation operators.
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Publication status
published
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Book title
Journal / series
Volume
53 (4)
Pages / Article No.
925 - 939
Publisher
Springer
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Commuting diagram property; Edge elements; Fortin projector; Maxwell cavity source problem; Sparse tensor approximation; Stochastic source problems
Organisational unit
03435 - Schwab, Christoph / Schwab, Christoph
03632 - Hiptmair, Ralf / Hiptmair, Ralf
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher
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Related publications and datasets
Is new version of: https://doi.org/10.3929/ethz-a-010394590