Publication 09-CNA-007

Inf-Sup Conditions for Twofold Saddle Point Problems

Noel J. Walkington
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
noelw@andrew.cmu.edu

Jason S. Howell
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
howell4@andrew.cmu.edu

Abstract: 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.

Get the paper in its entirety as  09-CNA-007.pdf

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