El Moutea, Omar; El Amri, Hassan Combined mixed finite element and nonconforming finite volume methods for flow and transport in porous media. (English) Zbl 1477.65210 Analysis, München 41, No. 3, 123-144 (2021). MSC: 65N30 76M10 76M12 76S05 76R50 PDFBibTeX XMLCite \textit{O. El Moutea} and \textit{H. El Amri}, Analysis, München 41, No. 3, 123--144 (2021; Zbl 1477.65210) Full Text: DOI
Lejay, Antoine; Pichot, Géraldine Simulating diffusion processes in discontinuous media: benchmark tests. (English) Zbl 1349.65019 J. Comput. Phys. 314, 384-413 (2016). MSC: 65C05 60J60 PDFBibTeX XMLCite \textit{A. Lejay} and \textit{G. Pichot}, J. Comput. Phys. 314, 384--413 (2016; Zbl 1349.65019) Full Text: DOI HAL
Gloria, Antoine; Goudon, Thierry; Krell, Stella Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage. (English) Zbl 1330.35027 Math. Models Methods Appl. Sci. 23, No. 13, 2523-2560 (2013). Reviewer: Mária Lukáčová (Mainz) MSC: 35B27 65M60 65Z05 76M50 76M10 35A35 PDFBibTeX XMLCite \textit{A. Gloria} et al., Math. Models Methods Appl. Sci. 23, No. 13, 2523--2560 (2013; Zbl 1330.35027) Full Text: DOI
Droniou, Jérôme; le Potier, Christophe Construction and convergence study of schemes preserving the elliptic local maximum principle. (English) Zbl 1227.65100 SIAM J. Numer. Anal. 49, No. 2, 459-490 (2011). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N12 35J25 65N50 35B50 PDFBibTeX XMLCite \textit{J. Droniou} and \textit{C. le Potier}, SIAM J. Numer. Anal. 49, No. 2, 459--490 (2011; Zbl 1227.65100) Full Text: DOI
Lejay, Antoine; Maire, Sylvain Simulating diffusions with piecewise constant coefficients using a kinetic approximation. (English) Zbl 1231.76241 Comput. Methods Appl. Mech. Eng. 199, No. 29-32, 2014-2023 (2010). MSC: 76M35 76R50 PDFBibTeX XMLCite \textit{A. Lejay} and \textit{S. Maire}, Comput. Methods Appl. Mech. Eng. 199, No. 29--32, 2014--2023 (2010; Zbl 1231.76241) Full Text: DOI
Amir, Laila; Kern, Michel A global method for coupling transport with chemistry in heterogeneous porous media. (English) Zbl 1425.76231 Comput. Geosci. 14, No. 3, 465-481 (2010). MSC: 76S05 76V05 76M25 35Q35 PDFBibTeX XMLCite \textit{L. Amir} and \textit{M. Kern}, Comput. Geosci. 14, No. 3, 465--481 (2010; Zbl 1425.76231) Full Text: DOI arXiv
Marpeau, Fabien; Saad, Mazen 3D simulation of radionuclide transport in porous media. (English) Zbl 1375.76185 Int. J. Numer. Methods Fluids 64, No. 1, 44-70 (2010). MSC: 76S05 76R50 65M08 76M12 PDFBibTeX XMLCite \textit{F. Marpeau} and \textit{M. Saad}, Int. J. Numer. Methods Fluids 64, No. 1, 44--70 (2010; Zbl 1375.76185) Full Text: DOI
Geiser, Jürgen Discretization methods with analytical characteristic methods for advection-diffusion-reaction equations and 2D applications. (English) Zbl 1180.35026 ESAIM, Math. Model. Numer. Anal. 43, No. 6, 1157-1183 (2009). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35A35 35K15 35K57 47F05 65M60 PDFBibTeX XMLCite \textit{J. Geiser}, ESAIM, Math. Model. Numer. Anal. 43, No. 6, 1157--1183 (2009; Zbl 1180.35026) Full Text: DOI EuDML
Vassilevskij, Yu. V.; Kapyrin, I. V. Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes. (Russian, English) Zbl 1177.76381 Zh. Vychisl. Mat. Mat. Fiz. 48, No. 8, 1429-1447 (2008); translation in Comput. Math. Math. Phys. 48, No. 8, 1349-1366 (2008). MSC: 76Rxx 65N50 35K55 PDFBibTeX XMLCite \textit{Yu. V. Vassilevskij} and \textit{I. V. Kapyrin}, Zh. Vychisl. Mat. Mat. Fiz. 48, No. 8, 1429--1447 (2008; Zbl 1177.76381); translation in Comput. Math. Math. Phys. 48, No. 8, 1349--1366 (2008) Full Text: DOI
Vohralík, Martin Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods. (English) Zbl 1160.65059 Numer. Math. 111, No. 1, 121-158 (2008). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{M. Vohralík}, Numer. Math. 111, No. 1, 121--158 (2008; Zbl 1160.65059) Full Text: DOI HAL
Marpeau, F. Simulating the contamination of populations by a polluted environment. (English) Zbl 1131.92065 Math. Comput. Simul. 77, No. 2-3, 257-265 (2008). MSC: 92D40 65M06 35K57 92D30 65C20 PDFBibTeX XMLCite \textit{F. Marpeau}, Math. Comput. Simul. 77, No. 2--3, 257--265 (2008; Zbl 1131.92065) Full Text: DOI
Lipnikov, K.; Shashkov, M.; Svyatskiy, D.; Vassilevski, Yu. Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. (English) Zbl 1130.65113 J. Comput. Phys. 227, No. 1, 492-512 (2007). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{K. Lipnikov} et al., J. Comput. Phys. 227, No. 1, 492--512 (2007; Zbl 1130.65113) Full Text: DOI
Kamga, Jean-Baptiste Apoung; Després, Bruno CFL condition and boundary conditions for DGM approximation of convection-diffusion. (English) Zbl 1129.65066 SIAM J. Numer. Anal. 44, No. 6, 2245-2269 (2006). MSC: 65M60 65M12 35K15 PDFBibTeX XMLCite \textit{J.-B. A. Kamga} and \textit{B. Després}, SIAM J. Numer. Anal. 44, No. 6, 2245--2269 (2006; Zbl 1129.65066) Full Text: DOI
Amaziane, Brahim; Bourgeat, Alain; Jurak, Mladen Effective macrodiffusion in solute transport through heterogeneous porous media. (English) Zbl 1187.76746 Multiscale Model. Simul. 5, No. 1, 184-204 (2006). MSC: 76S05 76M45 76M50 76R99 PDFBibTeX XMLCite \textit{B. Amaziane} et al., Multiscale Model. Simul. 5, No. 1, 184--204 (2006; Zbl 1187.76746) Full Text: DOI arXiv
Bruneau, C.-H.; Marpeau, F.; Saad, M. Numerical simulation of the miscible displacement of radionuclides in a heterogeneous porous medium. (English) Zbl 1078.76044 Int. J. Numer. Methods Fluids 49, No. 10, 1053-1085 (2005). MSC: 76M12 76S05 76V05 76R99 PDFBibTeX XMLCite \textit{C. H. Bruneau} et al., Int. J. Numer. Methods Fluids 49, No. 10, 1053--1085 (2005; Zbl 1078.76044) Full Text: DOI