Year: 2008
Author: Jiangguo Liu, Rachel Cali
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 4 : pp. 693–703
Abstract
This paper investigates construction and approximation properties of the locally divergence-free (LDF) finite elements. Numerical stability of the natural and normalized bases for the LDF elements is analyzed. Error estimates about the jumps and the total divergence of the localized $L_2$-projection are proved and validated through numerical examples.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-833
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 4 : pp. 693–703
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: approximation property locally divergence-free (LDF) localized $L_2$-projection solenoidal.