Library of Congress Cataloging-in•Publication Data Brenner, Susanne C. The mathematical theory of finite element methods / Susanne C. Brenner, L. Ridgway Scott.-2nd ed. p. ; cm. -(Texts in applied mathematics; 15) Includes bibliographical references and index.

Library of Congress Cataloging-in-Publication Data Brenner, Susanne C. The mathematical theory of finite element methods / Susanne C. Brenner, L. Ridgway Scott p. cm. -(Texts in applied mathematics j 15) Inc1udes bibliographical references and index.

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Abstract. Korn's inequalities for piecewise H 1 vector fields are established. They can be applied to classical nonconforming finite element methods, mortar methods and discontinuous Galerkin methods.