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    Mixed hp-adaptive finite element methods for elasticity and coupled problems

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    QIU-DISSERTATION.pdf (1.297Mb)
    Date
    2010-08
    Author
    Qiu, Weifeng, 1978-
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    Abstract
    In my dissertation, I developed mixed hp-finite element methods for linear elasticity with weakly imposed symmetry, which is based on Arnold-Falk-Winther's stable mixed finite elements. I have proved the h-stability of my method for meshes with arbitrary variable orders. In order to show the h-stability, I need an upper limit of the highest order of meshes, which can be an arbitrary nonnegative integer.
    Department
    Computational Science, Engineering, and Mathematics
    Description
    text
    Subject
    Mixed finite element method
    hp-adaptive finite element method
    Elasticity
    URI
    http://hdl.handle.net/2152/ETD-UT-2010-08-1253
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