Journal
NUMERISCHE MATHEMATIK
Volume 118, Issue 4, Pages 663-693Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00211-011-0372-5
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Funding
- Center for Nonlinear Analysis (CNA) under the National Science Foundation [DMS-0635983]
- National Science Foundation [DMS-0811029]
- NSF through the Center for Nonlinear Analysis
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Necessary and sufficient conditions for existence and uniqueness of solutions are developed for twofold saddle point problems which arise in mixed formulations of problems in continuum mechanics. This work extends the classical saddle point theory to accommodate nonlinear constitutive relations and the twofold saddle structure. Application to problems in incompressible fluid mechanics employing symmetric tensor finite elements for the stress approximation is presented.
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