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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Preconditioners for nonconforming discretizations


Author: Peter Oswald
Journal: Math. Comp. 65 (1996), 923-941
MSC (1991): Primary 65F10, 65F35, 65N22, 65N30
MathSciNet review: 1333322
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Abstract: We prove an abstract norm equivalence for a two-level method, which allows us to reduce the construction of preconditioners for nonconforming finite element discretizations to known cases of conforming elements.


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Additional Information

Peter Oswald
Affiliation: Institut für Angewandte Mathematik, FSU Jena, D-07740 Jena, Germany
Address at time of publication: Department of Mathematics, Texas A&M University, College Station, Texas 77843
Email: peter.oswald@math.tamu.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-96-00717-X
PII: S 0025-5718(96)00717-X
Keywords: Nonconforming finite elements, preconditioned iterative methods
Received by editor(s): January 24, 1994
Received by editor(s) in revised form: February 11, 1995
Article copyright: © Copyright 1996 American Mathematical Society