CONVERGENCE OF IPDG FOR COUPLED TIME-DEPENDENT NAVIER-STOKES AND DARCY EQUATIONS - Archive ouverte HAL Access content directly
Journal Articles Journal of Computational and Applied Mathematics Year : 2017

CONVERGENCE OF IPDG FOR COUPLED TIME-DEPENDENT NAVIER-STOKES AND DARCY EQUATIONS

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Abstract

A numerical method is proposed and analyzed for the coupled time-dependent Navier-Stokes equations and Darcy equations. Existence and uniqueness of the solution is obtained under a small data condition. A priori error estimates are derived. Numerical examples confirm the theoretical convergence rates.
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Dates and versions

hal-03911044 , version 1 (17-01-2023)

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Vivette Girault, Nabil Chaabane, Charles Puelz, Beatrice Riviere. CONVERGENCE OF IPDG FOR COUPLED TIME-DEPENDENT NAVIER-STOKES AND DARCY EQUATIONS. Journal of Computational and Applied Mathematics, 2017, 324, pp.25-48. ⟨10.1016/j.cam.2017.04.002⟩. ⟨hal-03911044⟩
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