Publisher's Synopsis
Excerpt from An Extension Theorem for Finite Element Spaces With Three Applications
We note that the extension theorems are related to questions concerning the approximation order of finite element spaces for functions which are not sufficiently smooth. These issues were discussed early by Strang [28] for cases without boundaries. This work was extended to some extent by Cl�ment [14] and later quite systematically by Bernardi While Bernardi carefully includes boundary conditions in her work, her work does not include Hermitian finite elements and it is therefore not directly applicable to all the problems at hand.
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