Sparse tensor edge elements

Ralf Hiptmair, Carlos Jerez-Hanckes, Christoph Schwab

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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.

Original languageEnglish
Pages (from-to)925-939
Number of pages15
JournalBIT Numerical Mathematics
Issue number4
StatePublished - Dec 2013
Externally publishedYes


  • Commuting diagram property
  • Edge elements
  • Fortin projector
  • Maxwell cavity source problem
  • Sparse tensor approximation
  • Stochastic source problems


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