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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 Clement [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. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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