A Note on the Approximation Properties of the Locally Divergence-Free Finite Elements

Authors

  • Jiangguo Liu
  • Rachel Cali

Keywords:

approximation property, locally divergence-free (LDF), localized $L_2$-projection, solenoidal.

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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Published

2008-05-01

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Issue

Vol. 5 No. 4 (2008)

Section

Articles