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Title:
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An rp-adaptivity scheme for the finite element analysis of linear elliptic problems |
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Author:
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Maddox, James Roger |
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Advisor:
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Akin, John E. |
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Degree:
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Master of Science thesis |
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Abstract:
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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. |
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Citation:
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Maddox, James Roger. "An rp-adaptivity scheme for the finite element analysis of linear elliptic problems." Masters Thesis, Rice University, ETD http://hdl.handle.net/1911/17052. |
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Citable link to this page:
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http://hdl.handle.net/1911/17052 |
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Date:
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1995 |
