@Article{IJNAM-5-693, author = {Liu , Jiangguo and Cali , Rachel}, title = {A Note on the Approximation Properties of the Locally Divergence-Free Finite Elements}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {4}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/833.html} }