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

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dc.contributor.advisorAkin, John Edward.
dc.creatorMaddox, James Roger
dc.date.accessioned2009-06-04T08:40:30Z
dc.date.available2009-06-04T08:40:30Z
dc.date.issued1995
dc.description.abstractA 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.extent84 p.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS M.E. 1995 MADDOX
dc.identifier.citationMaddox, James Roger. "An rp-adaptivity scheme for the finite element analysis of linear elliptic problems." (1995) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/17052">https://hdl.handle.net/1911/17052</a>.
dc.identifier.urihttps://hdl.handle.net/1911/17052
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectMechanical engineering
dc.titleAn rp-adaptivity scheme for the finite element analysis of linear elliptic problems
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMechanical Engineering
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science
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