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2013-GdT ITER - R. Hiptmair
Séance du 28 février 2013
Ralph Hiptmair, ETH Zurich
Title :
Sparse Tensor Product Edge Elements
Speaker :
Ralf Hiptmair, Seminar for Applied Mathematics, ETH Zurich, Switzerland
Co-authors :
C. Jerez-Hanckes, C. Schwab
Abstract :
We consider the tensorized operator for the Maxwell cavity source problem in frequency domain. Such formulation occurs when computing statistical moments of the fields under an 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.
Reference : SAM-Report 2012-34 (http://www.sam.math.ethz.ch/reports/2012/34)