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.

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

Share

COinS