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.
Original language | English |
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Pages (from-to) | 925-939 |
Number of pages | 15 |
Journal | BIT Numerical Mathematics |
Volume | 53 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2013 |
Externally published | Yes |
Keywords
- Commuting diagram property
- Edge elements
- Fortin projector
- Maxwell cavity source problem
- Sparse tensor approximation
- Stochastic source problems