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Adaptive Finite Element Methods For Solving PDEs
Hieu Nguyen
Department of Mathematics, UCSD
Abstract:
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.
Tuesday, November 20, 2007
11:00AM AP&M 2402
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Philip E. Gill
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Randolph E. Bank
Philip E. Gill
Michael Holst
Administrative Contact:
[ Click to Send Email ]
Hieu Nguyen
Department of Mathematics, UCSD
Abstract:
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.
Tuesday, November 20, 2007
11:00AM AP&M 2402