Korn’s inequalities for piecewise 𝐻¹ vector fields

Brenner, Susanne

doi:10.1090/S0025-5718-03-01579-5

Korn’s inequalities for piecewise $H^1$ vector fields
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by Susanne C. Brenner;

Math. Comp. 73 (2004), 1067-1087

DOI: https://doi.org/10.1090/S0025-5718-03-01579-5

Published electronically: September 26, 2003

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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.

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