Affine geometry, Simplexes (Mathematics), Differential equations
In this note, we provide a conveniently implementable basis for simplicial Nédélec spaces of any order in any space dimension. The main feature of the basis is that it is expressed solely in terms of the barycentric coordinates of the simplex.
Pulished as: Gopalakrishnan, J., García-Castillo, L. E., & Demkowicz, L. F. (2005). Nédélec spaces in affine coordinates. Computers and Mathematics with Applications, 49(7-8), 1285-1294. https://doi.org/10.1016/j.camwa.2004.02.012
This is the author’s version of a work that was accepted for publication in Computers and Mathematics with Applications. 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. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computers and Mathematics with Applications, [VOL 49, ISSUE 7/8, 2005] https://doi.org/10.1016/j.camwa.2004.02.012
This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/