A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system
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Toni Sayah | Pascal Omnes | Nancy Chalhoub | Rebecca El Zahlaniyeh | Nancy Chalhoub | P. Omnes | Toni Sayah
[1] W. Rheinboldt,et al. Error Estimates for Adaptive Finite Element Computations , 1978 .
[2] Martin Vohralík,et al. Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems , 2010, J. Comput. Appl. Math..
[3] Frédéric Hecht,et al. New development in freefem++ , 2012, J. Num. Math..
[4] A. Alonso. Error estimators for a mixed method , 1996 .
[5] Jérôme Droniou,et al. Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media , 2017, Numerische Mathematik.
[6] C. Bernardi,et al. A posteriori error analysis of the time-dependent Stokes equations with mixed boundary conditions , 2015 .
[8] Brahim Amaziane,et al. Adaptive Mesh Refinement for a Finite Volume Method for Flow and Transport of Radionuclides in Heterogeneous Porous Media , 2014 .
[9] Rolf Stenberg,et al. Energy norm a posteriori error estimates for mixed finite element methods , 2006, Math. Comput..
[10] Martin Vohralík,et al. A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations , 2007, SIAM J. Numer. Anal..
[11] Rüdiger Verfürth,et al. A posteriori error estimation and adaptive mesh-refinement techniques , 1994 .
[12] M. Fortin,et al. A stable finite element for the stokes equations , 1984 .
[13] X. B. Feng. On Existence and Uniqueness Results for a Coupled System Modeling Miscible Displacement in Porous Media , 1995 .
[14] Richard E. Ewing,et al. Mathematical analysis for reservoir models , 1999 .
[15] F. Hecht,et al. A posteriori error estimates for Darcy’s problem coupled with the heat equation , 2019, ESAIM: Mathematical Modelling and Numerical Analysis.
[16] Wenbin Chen,et al. A posteriori error estimate for the H(div) conforming mixed finite element for the coupled Darcy-Stokes system , 2014, J. Comput. Appl. Math..
[17] M. Vidyasagar,et al. Nonlinear systems analysis (2nd ed.) , 1993 .
[18] Carsten Carstensen,et al. A posteriori error estimate for the mixed finite element method , 1997, Math. Comput..
[19] J. Guermond,et al. Theory and practice of finite elements , 2004 .
[20] Christine Bernardi,et al. Spectral discretization of Darcy's equations coupled with the heat equation , 2016 .
[21] Martin Vohralík,et al. A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows , 2017 .
[22] Ricardo Ruiz-Baier,et al. A mixed finite element method for Darcy's equations with pressure dependent porosity , 2015, Math. Comput..
[23] Robert Eymard,et al. Unified Convergence Analysis of Numerical Schemes for a Miscible Displacement Problem , 2017, Foundations of Computational Mathematics.
[24] P. Fabrie,et al. MODELING WELLS IN POROUS MEDIA FLOW , 2000 .
[25] J. Oden,et al. A Posteriori Error Estimation in Finite Element Analysis: Oden/A Posteriori , 2000 .
[26] Nancy Chalhoub,et al. Full discretization of time dependent convection–diffusion–reaction equation coupled with the Darcy system , 2020 .
[27] Vivette Girault,et al. Finite element methods for Darcy’s problem coupled with the heat equation , 2018, Numerische Mathematik.
[28] Toni Sayah,et al. New numerical studies for Darcy’s problem coupled with the heat equation , 2019, Computational and Applied Mathematics.
[29] Martin Vohralík,et al. Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods , 2008, Numerische Mathematik.