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Article
Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations
Journal of Scientific Computing
  • Jay Gopalakrishnan, Portland State University
  • Minah Oh, James Madison University
Document Type
Post-Print
Publication Date
1-1-2011
Subjects
  • Finite element method,
  • Interpolation,
  • Algorithms
Abstract
We 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.
Description

This is the author’s version of a work that was accepted for publication in the Journal of Scientific Computing. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in the Journal of Scientific Computing, (2012), Volume 51, Issue 2 and can be found online at: www.springerlink.com

DOI
10.1007/s10915-011-9513-3
Persistent Identifier
http://archives.pdx.edu/ds/psu/10625
Citation Information
Jay 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/