Open access
Date
2001-04Type
- Report
ETH Bibliography
yes
Altmetrics
Abstract
We consider the electric field integral equation on the surface of polyhedral domains and its Galerkin-discretization by means of divergence-conforming boundary elements. With respect to a Hodge decomposition the continuous variational problem is shown to be coercive. However, this does not immediately carry over to the discrete setting, as discrete Hodge decompositions fail to possess essential regularity properties. Introducing an intermediate semidiscrete Hodge decomposition we can bridge the gap and come up with asymptotically optimal a-priori error estimates. Hitherto, those had been elusive, in particular for non-smooth boundaries. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004289333Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Electric field integral equation; Rumsey's principle; Raviart-Thomas elements; Hodge decomposition; Discrete coercivityOrganisational unit
03435 - Schwab, Christoph / Schwab, Christoph
03632 - Hiptmair, Ralf / Hiptmair, Ralf
More
Show all metadata
ETH Bibliography
yes
Altmetrics