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    A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem

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    Authors
    Baensch, Eberhard
    Karakatsani, Fotini
    Makridakis, Charalambos
    Affiliation
    University of Erlangen; University of Chester; University of Crete; Foundation for Research & Technology, Greece; University of Sussex
    Publication Date
    2018-05-02
    
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    Abstract
    This work is devoted to a posteriori error analysis of fully discrete finite element approximations to the time dependent Stokes system. The space discretization is based on popular stable spaces, including Crouzeix–Raviart and Taylor–Hood finite element methods. Implicit Euler is applied for the time discretization. The finite element spaces are allowed to change with time steps and the projection steps include alternatives that is hoped to cope with possible numerical artifices and the loss of the discrete incompressibility of the schemes. The final estimates are of optimal order in L∞(L2) for the velocity error.
    Citation
    Bänsch, E., Karakatsani, F., & Makridakis, C. G. (2018). A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem. Calcolo, 55, 19. https://doi.org/10.1007/s10092-018-0259-2
    Publisher
    Springer
    Journal
    Calcolo
    URI
    http://hdl.handle.net/10034/621169
    DOI
    10.1007/s10092-018-0259-2
    Additional Links
    https://link.springer.com/article/10.1007/s10092-018-0259-2
    Type
    Article
    Language
    en
    Description
    The final publication is available at Springer via http://dx.doi.org/10.1007/s10092-018-0259-2
    EISSN
    1126-5434
    ae974a485f413a2113503eed53cd6c53
    10.1007/s10092-018-0259-2
    Scopus Count
    Collections
    Mathematics

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