ITLApplied  Computational Mathematics Division
ACMD Seminar Series
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The p and hp finite element modeling of thin structures

Manil Suri
Dept. of Mathematics and Statistics, UMBC

Tuesday, October 30, 2001 13:00-14:00,
Room 145, NIST North (820)
Tuesday, October 30, 2001 11:00-12:00,
Room 4550

Abstract: The classical h version finite element method uses mesh refinement with a fixed polynomial degree (usually 1 or 2) to increase accuracy. In contrast, the p and hp versions allow the user to change the polynomial degree for increasing accuracy. We survey these methods and show how this flexibility can be exploited to counter four difficulties that occur in the approximation of problems over thin domains (such as plates and shells) which arise often in engineering practice. These difficulties are: (1) control of modeling error, (2) approximation of corner singularities, (3) resolution of boundary layers, and (4) control of locking. Our guidelines enable the efficient resolution of these difficulties when a p/hp code is available.
Contact: A. J. Kearsley

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