Sparse tensor edge elements

作者：Hiptmair Ralf^*; Jerez Hanckes Carlos; Schwab Christoph

来源：BIT Numerical Mathematics, 2013, 53(4): 925-939.

DOI：10.1007/s10543-013-0435-3

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

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.

• 出版日期2013-12