Arun, K. R.; Ghorai, Rahuldev; Kar, Mainak An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit. (English) Zbl 07777029 J. Sci. Comput. 97, No. 3, Paper No. 73, 31 p. (2023). MSC: 65-XX 35L45 35L60 35L65 35L67 65M06 65M08 PDFBibTeX XMLCite \textit{K. R. Arun} et al., J. Sci. Comput. 97, No. 3, Paper No. 73, 31 p. (2023; Zbl 07777029) Full Text: DOI arXiv
Després, Bruno Quadratic stability of flux limiters. (English) Zbl 1516.65074 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 395-422 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 65M06 65D05 35B50 PDFBibTeX XMLCite \textit{B. Després}, ESAIM, Math. Model. Numer. Anal. 57, No. 2, 395--422 (2023; Zbl 1516.65074) Full Text: DOI
Cancès, Clément; Venel, Juliette On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations. (English) Zbl 1507.65148 C. R., Math., Acad. Sci. Paris 361, 535-558 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 65H10 60J76 35K51 78A57 76R50 35Q84 PDFBibTeX XMLCite \textit{C. Cancès} and \textit{J. Venel}, C. R., Math., Acad. Sci. Paris 361, 535--558 (2023; Zbl 1507.65148) Full Text: DOI arXiv
Mabdaoui, Mohamed; Moussa, Hicham; Rhoudaf, Mohamed Variational approximation in modular spaces by using finite element method approach. (English) Zbl 07637647 Numer. Funct. Anal. Optim. 44, No. 1, 64-85 (2023). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{M. Mabdaoui} et al., Numer. Funct. Anal. Optim. 44, No. 1, 64--85 (2023; Zbl 07637647) Full Text: DOI
Kechkar, Nasserdine; Louaar, Mohammed Stabilized-penalized collocated finite volume scheme for incompressible biofluid flows. (English) Zbl 1490.35326 J. Korean Math. Soc. 59, No. 3, 519-548 (2022). MSC: 35Q35 76D05 76Z05 65N08 65N30 65N12 35B35 PDFBibTeX XMLCite \textit{N. Kechkar} and \textit{M. Louaar}, J. Korean Math. Soc. 59, No. 3, 519--548 (2022; Zbl 1490.35326) Full Text: DOI
Fjordholm, Ulrik S.; Musch, Markus; Risebro, Nils H. Well-posedness and convergence of a finite volume method for conservation laws on networks. (English) Zbl 07498295 SIAM J. Numer. Anal. 60, No. 2, 606-630 (2022). MSC: 65-XX 35L65 35R02 65M08 65M12 PDFBibTeX XMLCite \textit{U. S. Fjordholm} et al., SIAM J. Numer. Anal. 60, No. 2, 606--630 (2022; Zbl 07498295) Full Text: DOI
Bendahmane, Mostafa; Mroue, Fatima; Saad, Mazen A positive cell vertex Godunov scheme for a Beeler-Reuter based model of cardiac electrical activity. (English) Zbl 07777698 Numer. Methods Partial Differ. Equations 37, No. 1, 262-301 (2021). MSC: 65M08 65M60 65N08 65N30 65M06 65M12 65M15 92C30 78A70 35D30 35A01 35Q92 PDFBibTeX XMLCite \textit{M. Bendahmane} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 262--301 (2021; Zbl 07777698) Full Text: DOI
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
Quenjel, El Houssaine Analysis of accurate and stable nonlinear finite volume scheme for anisotropic diffusion equations with drift on simplicial meshes. (English) Zbl 1500.65053 J. Sci. Comput. 88, No. 3, Paper No. 76, 26 p. (2021). MSC: 65M08 65M12 35B09 PDFBibTeX XMLCite \textit{E. H. Quenjel}, J. Sci. Comput. 88, No. 3, Paper No. 76, 26 p. (2021; Zbl 1500.65053) Full Text: DOI HAL
Liu, Jiankang; Zhang, Suying A new numerical approximation method for two-dimensional wave equation with Neumann damped boundary. (English) Zbl 1441.65070 Complexity 2020, Article ID 2020161, 14 p. (2020). MSC: 65M06 65M15 35L05 PDFBibTeX XMLCite \textit{J. Liu} and \textit{S. Zhang}, Complexity 2020, Article ID 2020161, 14 p. (2020; Zbl 1441.65070) Full Text: DOI
Peton, Nicolas; Cancès, Clément; Granjeon, Didier; Tran, Quang-Huy; Wolf, Sylvie Numerical scheme for a water flow-driven forward stratigraphic model. (English) Zbl 1434.86021 Comput. Geosci. 24, No. 1, 37-60 (2020). MSC: 86A05 76M12 76S05 86-08 PDFBibTeX XMLCite \textit{N. Peton} et al., Comput. Geosci. 24, No. 1, 37--60 (2020; Zbl 1434.86021) Full Text: DOI HAL
Coclite, Giuseppe Maria; Gargano, Francesco; Sciacca, Vincenzo Up-wind difference approximation and singularity formation for a slow erosion model. (English) Zbl 1434.76083 ESAIM, Math. Model. Numer. Anal. 54, No. 2, 465-492 (2020). MSC: 76M20 76T25 65M12 35A20 35L65 65M06 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 2, 465--492 (2020; Zbl 1434.76083) Full Text: DOI
Zhang, Yongchao; Qian, Yanxia; Mei, Liquan Discontinuous Galerkin methods for the Stokes equations with nonlinear damping term on general meshes. (English) Zbl 1437.65206 Comput. Math. Appl. 79, No. 8, 2258-2275 (2020). MSC: 65N30 65N15 76D07 35Q35 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Math. Appl. 79, No. 8, 2258--2275 (2020; Zbl 1437.65206) Full Text: DOI
Cancès, Clément; Chainais-Hillairet, Claire; Gerstenmayer, Anita; Jüngel, Ansgar Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport. (English) Zbl 1418.65157 Numer. Methods Partial Differ. Equations 35, No. 2, 545-575 (2019). MSC: 65N08 65M06 65M12 76Z10 92C37 35Q92 PDFBibTeX XMLCite \textit{C. Cancès} et al., Numer. Methods Partial Differ. Equations 35, No. 2, 545--575 (2019; Zbl 1418.65157) Full Text: DOI arXiv
Gallouët, Thierry; Maltese, David; Novotny, Antonin Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. (English) Zbl 1412.35253 Numer. Math. 141, No. 2, 495-567 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 65M15 65N12 76N15 76M12 76M20 PDFBibTeX XMLCite \textit{T. Gallouët} et al., Numer. Math. 141, No. 2, 495--567 (2019; Zbl 1412.35253) Full Text: DOI
Foucher, Françoise; Ibrahim, Moustafa; Saad, Mazen Convergence of a positive nonlinear control volume finite element scheme for solving an anisotropic degenerate breast cancer development model. (English) Zbl 1419.65059 Comput. Math. Appl. 76, No. 3, 551-578 (2018). MSC: 65M60 65M12 92C50 65M08 35Q92 PDFBibTeX XMLCite \textit{F. Foucher} et al., Comput. Math. Appl. 76, No. 3, 551--578 (2018; Zbl 1419.65059) Full Text: DOI
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. (English) Zbl 1401.65096 Comput. Methods Appl. Math. 18, No. 3, 407-432 (2018). MSC: 65M08 65M12 35K20 PDFBibTeX XMLCite \textit{C. Cancès} et al., Comput. Methods Appl. Math. 18, No. 3, 407--432 (2018; Zbl 1401.65096) Full Text: DOI arXiv
Di Pietro, Daniele A.; Krell, Stella A hybrid high-order method for the steady incompressible Navier-Stokes problem. (English) Zbl 1384.76037 J. Sci. Comput. 74, No. 3, 1677-1705 (2018). MSC: 76M10 76M12 65N08 65N30 65N12 35Q30 76D05 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{S. Krell}, J. Sci. Comput. 74, No. 3, 1677--1705 (2018; Zbl 1384.76037) Full Text: DOI arXiv
Gallouët, T.; Herbin, R.; Latché, J.-C.; Mallem, K. Convergence of the marker-and-cell scheme for the incompressible Navier-Stokes equations on non-uniform grids. (English) Zbl 1459.65168 Found. Comput. Math. 18, No. 1, 249-289 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M12 65M15 76D05 35Q30 PDFBibTeX XMLCite \textit{T. Gallouët} et al., Found. Comput. Math. 18, No. 1, 249--289 (2018; Zbl 1459.65168) Full Text: DOI arXiv
Gallouët, T.; Herbin, R.; Latché, J.-C.; Maltese, D. Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations. (English) Zbl 1390.35231 Math. Comput. 87, No. 311, 1127-1163 (2018). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 65N12 76N10 76N15 65M12 PDFBibTeX XMLCite \textit{T. Gallouët} et al., Math. Comput. 87, No. 311, 1127--1163 (2018; Zbl 1390.35231) Full Text: DOI arXiv
Latché, J. C.; Saleh, K. A convergent staggered scheme for the variable density incompressible Navier-Stokes equations. (English) Zbl 1394.35326 Math. Comput. 87, No. 310, 581-632 (2018). Reviewer: Cheng He (Beijing) MSC: 35Q30 35Q55 65N12 76M10 76M12 65N30 PDFBibTeX XMLCite \textit{J. C. Latché} and \textit{K. Saleh}, Math. Comput. 87, No. 310, 581--632 (2018; Zbl 1394.35326) Full Text: DOI arXiv
Cancès, Clément; Ibrahim, Moustafa; Saad, Mazen Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system. (English) Zbl 1416.65339 SMAI J. Comput. Math. 3, 1-28 (2017). MSC: 65M60 65M08 92C17 92-08 35K57 PDFBibTeX XMLCite \textit{C. Cancès} et al., SMAI J. Comput. Math. 3, 1--28 (2017; Zbl 1416.65339) Full Text: DOI
Cancès, Clément; Guichard, Cindy Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure. (English) Zbl 1382.65267 Found. Comput. Math. 17, No. 6, 1525-1584 (2017). MSC: 65M08 65M12 35K65 PDFBibTeX XMLCite \textit{C. Cancès} and \textit{C. Guichard}, Found. Comput. Math. 17, No. 6, 1525--1584 (2017; Zbl 1382.65267) Full Text: DOI arXiv
Brenner, Konstantin; Cancès, Clément Improving Newton’s method performance by parametrization: the case of the Richards equation. (English) Zbl 1369.65106 SIAM J. Numer. Anal. 55, No. 4, 1760-1785 (2017). MSC: 65M08 35K65 65M12 PDFBibTeX XMLCite \textit{K. Brenner} and \textit{C. Cancès}, SIAM J. Numer. Anal. 55, No. 4, 1760--1785 (2017; Zbl 1369.65106) Full Text: DOI arXiv
Cancès, Clément; Granjeon, Didier; Peton, Nicolas; Tran, Quang Huy; Wolf, Sylvie Numerical scheme for a stratigraphic model with erosion constraint and nonlinear gravity flux. (English) Zbl 1366.86004 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 327-335 (2017). MSC: 86-08 35K85 65M08 76T25 76M12 PDFBibTeX XMLCite \textit{C. Cancès} et al., Springer Proc. Math. Stat. 200, 327--335 (2017; Zbl 1366.86004) Full Text: DOI HAL
Saad, Ali S.; Saad, Bilal; Saad, Mazen Numerical study of compositional compressible degenerate two-phase flow in saturated-unsaturated heterogeneous porous media. (English) Zbl 1443.76221 Comput. Math. Appl. 71, No. 2, 565-584 (2016). MSC: 76S05 76M10 76M12 76T10 65M08 65M60 PDFBibTeX XMLCite \textit{A. S. Saad} et al., Comput. Math. Appl. 71, No. 2, 565--584 (2016; Zbl 1443.76221) Full Text: DOI
Dedner, Andreas; Giesselmann, Jan A posteriori analysis of fully discrete method of lines discontinuous Galerkin schemes for systems of conservation laws. (English) Zbl 1354.65181 SIAM J. Numer. Anal. 54, No. 6, 3523-3549 (2016). MSC: 65M20 65M60 65M15 35L65 PDFBibTeX XMLCite \textit{A. Dedner} and \textit{J. Giesselmann}, SIAM J. Numer. Anal. 54, No. 6, 3523--3549 (2016; Zbl 1354.65181) Full Text: DOI arXiv
Hamon, François P.; Tchelepi, Hamdi A. Analysis of hybrid upwinding for fully-implicit simulation of three-phase flow with gravity. (English) Zbl 1382.65269 SIAM J. Numer. Anal. 54, No. 3, 1682-1712 (2016). MSC: 65M08 35L65 65M12 65M22 76M12 76S05 PDFBibTeX XMLCite \textit{F. P. Hamon} and \textit{H. A. Tchelepi}, SIAM J. Numer. Anal. 54, No. 3, 1682--1712 (2016; Zbl 1382.65269) Full Text: DOI
Rossi, Elena; Schleper, Veronika Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions. (English) Zbl 1347.65145 ESAIM, Math. Model. Numer. Anal. 50, No. 2, 475-497 (2016). Reviewer: Michael Jung (Dresden) MSC: 65M12 35M30 65M06 65M08 PDFBibTeX XMLCite \textit{E. Rossi} and \textit{V. Schleper}, ESAIM, Math. Model. Numer. Anal. 50, No. 2, 475--497 (2016; Zbl 1347.65145) Full Text: DOI
Cancès, Clément; Mathis, Hélène; Seguin, Nicolas Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws. (English) Zbl 1382.65268 SIAM J. Numer. Anal. 54, No. 2, 1263-1287 (2016). MSC: 65M08 65M15 35D35 35L65 65M12 PDFBibTeX XMLCite \textit{C. Cancès} et al., SIAM J. Numer. Anal. 54, No. 2, 1263--1287 (2016; Zbl 1382.65268) Full Text: DOI arXiv
Cancès, Clément; Guichard, Cindy Convergence of a nonlinear entropy diminishing control volume finite element scheme for solving anisotropic degenerate parabolic equations. (English) Zbl 1332.65128 Math. Comput. 85, No. 298, 549-580 (2016). MSC: 65M12 65M08 PDFBibTeX XMLCite \textit{C. Cancès} and \textit{C. Guichard}, Math. Comput. 85, No. 298, 549--580 (2016; Zbl 1332.65128) Full Text: DOI HAL
Guermond, Jean-Luc; Popov, Bojan Error estimates of a first-order Lagrange finite element technique for nonlinear scalar conservation equations. (English) Zbl 1336.65165 SIAM J. Numer. Anal. 54, No. 1, 57-85 (2016). MSC: 65M60 35L65 35L50 65M15 PDFBibTeX XMLCite \textit{J.-L. Guermond} and \textit{B. Popov}, SIAM J. Numer. Anal. 54, No. 1, 57--85 (2016; Zbl 1336.65165) Full Text: DOI Link
Schneider, Lauriane; di Chiara Roupert, Raphaël; Schäfer, Gerhard; Helluy, Philippe Highly gravity-driven flow of a NAPL in water-saturated porous media using the discontinuous Galerkin finite-element method with a generalised Godunov scheme. Highly gravity-driven flow of a NAPL in water-saturated porous media. (English) Zbl 1392.86026 Comput. Geosci. 19, No. 4, 855-876 (2015). MSC: 86-08 65M60 76S05 PDFBibTeX XMLCite \textit{L. Schneider} et al., Comput. Geosci. 19, No. 4, 855--876 (2015; Zbl 1392.86026) Full Text: DOI
Chainais-Hillairet, Claire Entropy method and asymptotic behaviours of finite volume schemes. (English) Zbl 1305.65194 Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – methods, theoretical aspects. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. I. Cham: Springer (ISBN 978-3-319-05683-8/hbk; 978-3-319-05684-5/ebook; 978-3-319-06402-4/set). Springer Proceedings in Mathematics & Statistics 77, 17-35 (2014). MSC: 65M08 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet}, Springer Proc. Math. Stat. 77, 17--35 (2014; Zbl 1305.65194) Full Text: DOI
Eymard, Robert; Féron, Pierre; Gallouët, Thierry; Herbin, Raphaèle; Guichard, Cindy Gradient schemes for the Stefan problem. (English) Zbl 1482.65162 Int. J. Finite Vol. 10, Article ID hal-00751555, 37 p. (2013). MSC: 65M08 76Nxx 76T10 PDFBibTeX XMLCite \textit{R. Eymard} et al., Int. J. Finite Vol. 10, Article ID hal-00751555, 37 p. (2013; Zbl 1482.65162) Full Text: HAL
Hilhorst, Danielle; Do, Huy Cuong Vu; Wang, Yushan A finite volume method for density driven flows in porous media. (English) Zbl 1329.76207 ESAIM, Proc. 38, 376-386 (2012). MSC: 76M12 76S05 65M08 PDFBibTeX XMLCite \textit{D. Hilhorst} et al., ESAIM, Proc. 38, 376--386 (2012; Zbl 1329.76207) Full Text: DOI
Bouche, Daniel; Ghidaglia, Jean-Michel; Pascal, Frédéric P. An optimal error estimate for upwind finite volume methods for nonlinear hyperbolic conservation laws. (English) Zbl 1243.65110 Appl. Numer. Math. 61, No. 11, 1114-1131 (2011). Reviewer: Thomas Sonar (Braunschweig) MSC: 65M15 65M08 35L65 65M12 PDFBibTeX XMLCite \textit{D. Bouche} et al., Appl. Numer. Math. 61, No. 11, 1114--1131 (2011; Zbl 1243.65110) Full Text: DOI
Delarue, François; Lagoutière, Frédéric Probabilistic analysis of the upwind scheme for transport equations. (English) Zbl 1230.65008 Arch. Ration. Mech. Anal. 199, No. 1, 229-268 (2011). Reviewer: Grigori N. Milstein (Yekaterinburg) MSC: 65C30 65C40 60H15 35R60 PDFBibTeX XMLCite \textit{F. Delarue} and \textit{F. Lagoutière}, Arch. Ration. Mech. Anal. 199, No. 1, 229--268 (2011; Zbl 1230.65008) Full Text: DOI arXiv
Mamaghani, Magnolia; Enchéry, Guillaume; Chainais-Hillairet, Claire Development of a refinement criterion for adaptive mesh refinement in steam-assisted gravity drainage simulation. (English) Zbl 1209.86004 Comput. Geosci. 15, No. 1, 17-34 (2011). MSC: 86-08 65M08 76M10 PDFBibTeX XMLCite \textit{M. Mamaghani} et al., Comput. Geosci. 15, No. 1, 17--34 (2011; Zbl 1209.86004) Full Text: DOI
Di Pietro, Daniele A.; Ern, Alexandre Discrete functional analysis tools for discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations. (English) Zbl 1369.76024 Math. Comput. 79, No. 271, 1303-1330 (2010). MSC: 76M10 76D05 65N30 35Q30 46E39 46N20 65N12 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{A. Ern}, Math. Comput. 79, No. 271, 1303--1330 (2010; Zbl 1369.76024) Full Text: DOI
Coclite, G. M.; Mishra, S.; Risebro, N. H. Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. (English) Zbl 1369.65108 Math. Comput. 79, No. 269, 71-94 (2010). MSC: 65M12 65M06 76S05 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., Math. Comput. 79, No. 269, 71--94 (2010; Zbl 1369.65108) Full Text: DOI
Gastaldo, Laura; Herbin, Raphaèle; Latché, Jean-Claude An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model. (English) Zbl 1258.76112 ESAIM, Math. Model. Numer. Anal. 44, No. 2, 251-287 (2010). MSC: 76M10 76M12 76M25 76N10 76T10 65M08 65M60 PDFBibTeX XMLCite \textit{L. Gastaldo} et al., ESAIM, Math. Model. Numer. Anal. 44, No. 2, 251--287 (2010; Zbl 1258.76112) Full Text: DOI arXiv EuDML
Cancès, Clément Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. (English) Zbl 1171.76035 ESAIM, Math. Model. Numer. Anal. 43, No. 5, 973-1001 (2009). MSC: 76M12 76S05 76T30 65M12 PDFBibTeX XMLCite \textit{C. Cancès}, ESAIM, Math. Model. Numer. Anal. 43, No. 5, 973--1001 (2009; Zbl 1171.76035) Full Text: DOI arXiv EuDML
Giesselmann, Jan A convergence result for finite volume schemes on Riemannian manifolds. (English) Zbl 1173.74454 ESAIM, Math. Model. Numer. Anal. 43, No. 5, 929-955 (2009). MSC: 74S10 35L65 58J45 PDFBibTeX XMLCite \textit{J. Giesselmann}, ESAIM, Math. Model. Numer. Anal. 43, No. 5, 929--955 (2009; Zbl 1173.74454) Full Text: DOI EuDML
Ohlberger, Mario A review of a posteriori error control and adaptivity for approximations of non-linear conservation laws. (English) Zbl 1185.65163 Int. J. Numer. Methods Fluids 59, No. 3, 333-354 (2009). MSC: 65M15 PDFBibTeX XMLCite \textit{M. Ohlberger}, Int. J. Numer. Methods Fluids 59, No. 3, 333--354 (2009; Zbl 1185.65163) Full Text: DOI
Amaziane, Brahim; El Ossmani, Mustapha; Serres, Christophe Numerical modeling of the flow and transport of radionuclides in heterogeneous porous media. (English) Zbl 1259.76038 Comput. Geosci. 12, No. 4, 437-449 (2008). MSC: 76M25 76S05 76M10 76M12 PDFBibTeX XMLCite \textit{B. Amaziane} et al., Comput. Geosci. 12, No. 4, 437--449 (2008; Zbl 1259.76038) Full Text: DOI
Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. (English) Zbl 1132.35433 ESAIM, Math. Model. Numer. Anal. 42, No. 2, 303-331 (2008). MSC: 35Q30 65N12 65N30 76M25 PDFBibTeX XMLCite \textit{T. Gallouët} et al., ESAIM, Math. Model. Numer. Anal. 42, No. 2, 303--331 (2008; Zbl 1132.35433) Full Text: DOI arXiv EuDML Link
Bouillard, Nicolas; Eymard, Robert; Herbin, Raphaele; Montarnal, Philippe Diffusion with dissolution and precipitation in a porous medium: mathematical analysis and numerical approximation of a simplified model. (English) Zbl 1130.76086 ESAIM, Math. Model. Numer. Anal. 41, No. 6, 975-1000 (2007). MSC: 76V05 76S05 76R50 76M12 35Q35 80A30 PDFBibTeX XMLCite \textit{N. Bouillard} et al., ESAIM, Math. Model. Numer. Anal. 41, No. 6, 975--1000 (2007; Zbl 1130.76086) Full Text: DOI Numdam EuDML
Ohlberger, Mario; Vovelle, Julien Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. (English) Zbl 1082.65112 Math. Comput. 75, No. 253, 113-150 (2006). Reviewer: Qin Mengzhao (Beijing) MSC: 65N15 65N30 35A35 35L65 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{J. Vovelle}, Math. Comput. 75, No. 253, 113--150 (2006; Zbl 1082.65112) Full Text: DOI
Tadmor, Eitan; Rascle, Michel; Bagnerini, Patrizia Compensated compactness for 2D conservation laws. (English) Zbl 1084.35045 J. Hyperbolic Differ. Equ. 2, No. 3, 697-712 (2005). MSC: 35L65 35B25 65M12 65M60 PDFBibTeX XMLCite \textit{E. Tadmor} et al., J. Hyperbolic Differ. Equ. 2, No. 3, 697--712 (2005; Zbl 1084.35045) Full Text: DOI
Berthelin, F. Convergence of flux vector splitting schemes with single entropy inequality for hyperbolic systems of conservation laws. (English) Zbl 1067.65089 Numer. Math. 99, No. 4, 585-604 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M12 65M06 35L65 PDFBibTeX XMLCite \textit{F. Berthelin}, Numer. Math. 99, No. 4, 585--604 (2005; Zbl 1067.65089) Full Text: DOI
Eymard, Robert; Herbin, Raphaèle; Michel, Anthony Mathematical study of a petroleum-engineering scheme. (English) Zbl 1118.76355 M2AN, Math. Model. Numer. Anal. 37, No. 6, 937-972 (2003). MSC: 76S05 35K50 35K55 65M06 65M12 76M12 PDFBibTeX XMLCite \textit{R. Eymard} et al., M2AN, Math. Model. Numer. Anal. 37, No. 6, 937--972 (2003; Zbl 1118.76355) Full Text: DOI Numdam EuDML
Afif, M.; Amaziane, B. Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flows in porous media. (English) Zbl 1012.76057 Comput. Methods Appl. Mech. Eng. 191, No. 46, 5265-5286 (2002). MSC: 76M12 76R99 76S05 PDFBibTeX XMLCite \textit{M. Afif} and \textit{B. Amaziane}, Comput. Methods Appl. Mech. Eng. 191, No. 46, 5265--5286 (2002; Zbl 1012.76057) Full Text: DOI
Ohlberger, Mario A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations. (English) Zbl 0992.65100 M2AN, Math. Model. Numer. Anal. 35, No. 2, 355-387 (2001). Reviewer: S.K.Rangarajan (Yorktown Heights) MSC: 65M15 35K57 65M06 35K65 PDFBibTeX XMLCite \textit{M. Ohlberger}, M2AN, Math. Model. Numer. Anal. 35, No. 2, 355--387 (2001; Zbl 0992.65100) Full Text: DOI Numdam EuDML
Karlsen, Kenneth Hvistendahl; Risebro, Nils Henrik Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients. (English) Zbl 1032.76048 M2AN, Math. Model. Numer. Anal. 35, No. 2, 239-269 (2001). MSC: 76M20 76N15 65M06 35L65 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{N. H. Risebro}, M2AN, Math. Model. Numer. Anal. 35, No. 2, 239--269 (2001; Zbl 1032.76048) Full Text: DOI Numdam EuDML
Katsaounis, Theodoros; Makridakis, Charalambos Finite volume relaxation schemes for multidimensional conservation laws. (English) Zbl 0967.65094 Math. Comput. 70, No. 234, 533-553 (2001). Reviewer: S.Benzoni (Lyon) MSC: 65M06 65M20 65M12 65M15 35L65 PDFBibTeX XMLCite \textit{T. Katsaounis} and \textit{C. Makridakis}, Math. Comput. 70, No. 234, 533--553 (2001; Zbl 0967.65094) Full Text: DOI
Faille, I.; Heintzé, E. A rough finite volume scheme for modeling two-phase flow in a pipeline. (English) Zbl 0964.76050 Comput. Fluids 28, No. 2, 213-241 (1999). MSC: 76M12 76T10 PDFBibTeX XMLCite \textit{I. Faille} and \textit{E. Heintzé}, Comput. Fluids 28, No. 2, 213--241 (1999; Zbl 0964.76050) Full Text: DOI