Star-Based a Posteriori Error Estimates for Elliptic Problems
نویسندگان
چکیده
We give an a posteriori error estimator for nonconforming finite element approximations of diffusionreaction and Stokes problems, which relies on the solution of local problems on stars. It is proved to be equivalent to the energy error up to a data oscillation, without requiring Helmholtz decomposition of the error nor saturation assumption. Numerical experiments illustrate the good behavior and efficiency of this estimator for generic elliptic problems.
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عنوان ژورنال:
- J. Sci. Comput.
دوره 60 شماره
صفحات -
تاریخ انتشار 2014