Sponsor
This work was supported in part by the NSF under DMS-1014817
Published In
Journal of Scientific Computing
Document Type
Post-Print
Publication Date
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.
Rights
Copyright © 2011, Springer Science Business Media, LLC
Locate the Document
DOI
10.1007/s10915-011-9513-3
Persistent Identifier
http://archives.pdx.edu/ds/psu/10625
Citation Details
Published as: Gopalakrishnan, J., Oh, M. Commuting Smoothed Projectors in Weighted Norms with an Application to Axisymmetric Maxwell Equations. J Sci Comput 51, 394–420 (2012). https://doi.org/10.1007/s10915-011-9513-3
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.