Article
Polynomial Extension Operators. Part II
Mathematics and Statistics Faculty Publications and Presentations
Sponsor
This work was supported in part by the National Science Foundation under grants 0713833, 0619080, the Johann Radon Institute for Computational and Applied Mathematics (RICAM), and the FWF-Start-Project Y-192 “hp-FEM”
Document Type
Post-Print
Publication Date
1-1-2009
Subjects
- Finite element method,
- Polynomials,
- Vector analysis,
- Numerical analysis
Disciplines
Abstract
Consider the tangential trace of a vector polynomial on the surface of a tetrahedron. We construct an extension operator that extends such a trace function into a polynomial on the tetrahedron. This operator can be continuously extended to the trace space of H(curl ). Furthermore, it satisfies a commutativity property with an extension operator we constructed in Part I of this series. Such extensions are a fundamental ingredient of high order finite element analysis.
DOI
10.1137/070698798
Persistent Identifier
http://archives.pdx.edu/ds/psu/10696
Citation Information
Leszek Demkowicz, Jay Gopalakrishnan and Joachim Schöberl. "Polynomial Extension Operators. Part II" (2009) Available at: http://works.bepress.com/jay-gopalakrishnan/95/
This is the author’s version of a work that was accepted for publication in SIAM Journal on Numerical Analysis. A definitive version was subsequently published in SIAM Journal on Numerical Analysis, 2011. Vol. 47 Issue 5, p. 3293-3324.