Adaptive Dimensional Reduction & Divergence Stability
نویسنده
چکیده
There has been increased interest recently in feedback methods for reliable , robust, eecient computational methods in mechanics. We will outline the construction of such methods for a class of problems describing bending of plates for certain classes of loads. We emphasize the theoretical performance of this method, such as the selection of basis functions in the dimensional reduction { ensuring optimal convergence rates in the \thin" limit as well as in the order of model increasing. We then discuss the feasibility of eecient solution of the rst couple of members of the sequence of models { also with an eye towards reliability and adaptivity.
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