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A posteriori error estimation for a defect correction method applied to conduction convection problems

Authors

  • Yunzhang Zhang,

    Corresponding author
    1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China
    2. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China
    • School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471003, China
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  • Yanren Hou,

    1. School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China
    2. Centre of Computational Geoscience, Xi'an Jiaotong University, Xi'an 710049, China
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  • Conghui Du

    1. Canvard Institute, Beijing Technology and Business University, Beijing 101118, China
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Abstract

We present a posteriori error estimate for a defect correction method for approximating solutions of the stationary conduction convection problems in two dimension. The defect correction method is aiming at small viscosity ν. A reliable a posteriori error estimation is derived for the defect correction method. Finally, two numerical examples validate our theoretical results. The first example is a problem with known solution and the second example is a physical model of square cavity stationary flow. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2013

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