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Adaptive Finite Element Methods For Solving PDEs

Hieu Nguyen
Department of Mathematics, UCSD


In this talk, we study three versions ofadaptive finite element method: r, h and p-adaptive. Whilethe first two are well developed and widely used, much lessis known about the third one. By looking at some ideas andtechniques used in r-version and h-version, we propose atentative plan to construct a p-version of adaptive finiteelement method. The key thing makes it possible is therecently result of Bank, Xu and Zheng on generalizinggradient recovery technique for linear elements toderivative recovery for Lagarange elements of order parbitrary.

Thursday, November 29, 2007
11:00AM AP&M 2402