Abstract
This article is concerned with a posteriori error estimates for a discrete-fracture, multidimensional, numerical model for flow in a fractured porous medium. Local residual error estimators are defined and upper and lower bounds in terms of these estimators for both the pressure and the Darcy velocity are derived. Numerical examples using these estimates for automatic grid refinement are given.
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This work was supported by the Project HYDRINV-INRIA and PHC Volubilis \(\hbox {N}^0\) MA/10/225.
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Hecht, F., Mghazli, Z., Naji, I. et al. A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures. J Sci Comput 79, 935–968 (2019). https://doi.org/10.1007/s10915-018-0875-7
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DOI: https://doi.org/10.1007/s10915-018-0875-7