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    An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem

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    Barrios, Tomas-A POSTERIORI ERROR.pdf (222.9Kb)
    Date
    2019-03-05
    Author
    Barrios Faúndez, Tomás
    Bustinza, Rommel
    García, Galina C.
    González, María
    Publisher
    Journal of Computational and Applied Mathematics
    Description
    Artículo de publicación SCOPUS
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    Abstract
    We consider a stabilized mixed finite element method introduced recently for the generalized Stokes problem. The method is obtained by adding suitable least squares terms to the dual-mixed variational formulation of the problem in terms of the velocity and the pseudostress. We obtain a new a posteriori error estimator of residual type and prove that it is reliable and locally efficient. Specifically, we develop an a posteriori error analysis based on the quasi-Helmholtz decomposition which allows us to prove the so-called local efficiency of the estimator with a non-homogeneous boundary condition. Finally, we present some numerical examples that confirm the theoretical properties of our approach.
    URI
    http://repositoriodigital.ucsc.cl/handle/25022009/1789
    Ir a texto completo en URI:
    https://doi.org/10.1016/j.cam.2019.02.019
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