Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell EquationsJournal of Scientific Computing
SponsorThis work was supported in part by the NSF under DMS-1014817
- Finite element method,
AbstractWe construct finite element projectors that can be applied to functions with low regularity. These projectors are continuous in a weighted norm arising naturally when modeling devices with axial symmetry. They have important commuting diagram properties needed for finite element analysis. As an application, we use the projectors to prove quasioptimal convergence for the edge finite element approximation of the axisymmetric time-harmonic Maxwell equations on nonsmooth domains. Supplementary numerical investigations on convergence deterioration at high wavenumbers and near Maxwell eigenvalues and are also reported.
Citation InformationJay Gopalakrishnan and Minah Oh. "Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations" Journal of Scientific Computing (2011)
Available at: http://works.bepress.com/jay-gopalakrishnan/23/