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Korn's inequalities for piecewise  vector fields
Author(s):
Susanne
C.
Brenner.
Journal:
Math. Comp.
73
(2004),
1067-1087.
MSC (2000):
Primary 65N30, 74S05
Posted:
September 26, 2003
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Abstract:
Korn's inequalities for piecewise  vector fields are established. They can be applied to classical nonconforming finite element methods, mortar methods and discontinuous Galerkin methods.
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Additional Information:
Susanne
C.
Brenner
Affiliation:
Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
Email:
brenner@math.sc.edu
DOI:
10.1090/S0025-5718-03-01579-5
PII:
S 0025-5718(03)01579-5
Keywords:
Korn's inequalities,
piecewise $H^1$ vector fields,
nonconforming finite elements,
mortar methods,
discontinuous Galerkin methods
Received by editor(s):
March 19, 2002
Received by editor(s) in revised form:
December 14, 2002
Posted:
September 26, 2003
Additional Notes:
This work was supported in part by the National Science Foundation under Grant No. DMS-00-74246.
Copyright of article:
Copyright
2003,
American Mathematical Society
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