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An rp-adaptivity scheme for the finite element analysis of linear elliptic problems

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Title: An rp-adaptivity scheme for the finite element analysis of linear elliptic problems
Author: Maddox, James Roger
Advisor: Akin, John Edward.
Degree: Master of Science thesis
Abstract: A finite element analysis methodology employing rp-adaptivity is developed. The p-refinement phase is facilitated through the addition and deletion of general serendipity element edge nodes. The r-refinement phase is based on the reduction of error in the solution using element area as the grid optimization design variable. A series of tiered linked list data structure representations are developed for storing and manipulating the model information. The Zienkiewicz-Zhu error estimator is utilized for determining localized error. A modified superconvergent patch recovery technique is implemented to recover highly accurate nodal gradients utilized in the error estimation phase. Numerical results are presented for an idealized fluid flow problem.
Citation: Maddox, James Roger. (1995) "An rp-adaptivity scheme for the finite element analysis of linear elliptic problems." Masters Thesis, Rice University. http://hdl.handle.net/1911/17052.
URI: http://hdl.handle.net/1911/17052
Date: 1995

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