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Sparse tensor edge elements

by R. Hiptmair and Ch. Schwab and C. Jerez-Hanckes

(Report number 2012-34)

Abstract
We consider the tensorized operator for the Maxwell cavity source problem in frequency domain. 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.

Keywords:

@Techreport{HSJ12_477,
  author = {R. Hiptmair and Ch. Schwab and C. Jerez-Hanckes},
  title = {Sparse tensor edge elements},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2012-34},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2012/2012-34.pdf },
  year = {2012}
}

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