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dc.contributor.advisor Akin, John Edward.
dc.creatorMaddox, James Roger
dc.date.accessioned 2009-06-04T08:40:30Z
dc.date.available 2009-06-04T08:40:30Z
dc.date.issued 1995
dc.identifier.urihttps://hdl.handle.net/1911/17052
dc.description.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.
dc.format.extent 84 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMechanical engineering
dc.title An rp-adaptivity scheme for the finite element analysis of linear elliptic problems
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mechanical Engineering
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Science
dc.identifier.citation Maddox, James Roger. "An rp-adaptivity scheme for the finite element analysis of linear elliptic problems." (1995) Master’s Thesis, Rice University. https://hdl.handle.net/1911/17052.


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