[1]

L Agelas and R Masson. Convergence of the finite volume mpfa o scheme for heterogeneous anisotropic diffusion problems on general meshes. Acad. Sci. Paris, Ser. I, 346, 2008.

[2]

Jerome Bonelle. Compatible Discrete Operator schemes on polyhedral meshes for elliptic and Stokes equations. PhD thesis, Université Paris-Est, 2014.

[3]

Larry S Caretto, AD Gosman, Suhas V Patankar, and DB Spalding. Two calculation procedures for steady, three-dimensional flows with recirculation. In Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics: Vol. II Problems of Fluid Mechanics, pages 60–68. Springer, 2007.

[4]

Alexandre Joel Chorin. The numerical solution of the navier-stokes equationsfor an incompressible fluid. Bulletin of the American Mathematical Society, pages 928–931, 1967.

[5]

B Cockburn, G E Karniadakis, and C W Shu. Discontinuous Galerkin Methods: Theory, Computation and Applications. Springer, 2012.

[6]

J Droniou, R Eymard, T Gallouët, and R Herbin. A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods. Mathematical Models and Methods in Applied Sciences, 20:265–295, 2010.

[7]

Jerome Droniou. Finite volume schemes for diffusion equations: introduction to and review of modern methods. Mathematical Models and Methods in Applied Sciences, 24(08):1575–1619, 2014.

[8]

M G Edwards and C F Rogers. Finite volume discretization with imposed flux continuity for the general tensor pressure equation. Computational Geosciences, 2:259–290, 1998.

[9]

Philippe Emonot. Méthodes de volumes éléments finis : applications aux équations de Navier Stokes et résultats de convergence. PhD thesis, Université Claude Bernard, 1992.

[10]

A Ern and D Di Pietro. Mathematical Aspects of Discontinuous Galerkin Methods. Springer, 2012.

[11]

Robert Eymard, Thierry Gallouet, and Raphaele Herbin. A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Comptes rendus. Mathematique, 344(6):403–406, 2007.

[12]

Thomas Fortin. Une méthode éléments finis à décomposition L2 d’ordre élevé motivée par la simulation d’écoulement diphasique bas Mach. PhD thesis, Univ. Pierre et Marie Curie, 2006.

[13]

K Goda. A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows. Journal of Computational Physics, 30(1):76–95, 1979.

[14]

J.L. Guermond. Some implementations of projection methods for navier-stokes equations. M2AN, 30(5):374–378, 1996.

[15]

Francis H Harlow, J Eddie Welch, and others. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Physics of Fluids, 8(12), 1965.

[16]

Sébastien Heib. Nouvelles discrétisations non structurées pour des écoulements de fluides à incompressibilité renforcée. PhD thesis, Université Paris 6, 2003.

[17]

J S Hesthaven and T Warburton. Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications. Springer, 2007.

[18]

R. I. Issa. The computational of compressible and incompressible recirculation flows by non-iterative implicite scheme. Journal of Computational Physics, 62:66–82, 1986.

[19]

Erell Jamelot, Patrick Ciarlet, and Stefan Sauter. Stability of the p1nc element. In ENUMATH 2023 - The European Conference on Numerical Mathematics and Advanced Applications, Lisbon, Portugal, 2023.

[20]

Christophe Le Potier. Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes. Comptes Rendus de l’Académie des Sciences, 341, 2005.

[21]

Christophe Le Potier. Schéma volumes finis pour des opérateurs de diffusion fortement anisotropes sur des maillages non structurés. Comptes Rendus Mathematique Acad. Sci. Paris, 2005.

[22]

Christophe Le Potier. Construction et developpement de nouveaux schemas pour des problemes elliptiques ou paraboliques. PhD thesis, Université Paris-Est, 2017. Habilitation à diriger des recherches.

[23]

C. Liu and S. McCormick. The finite volume-element method (fve) for planar cavity flow. In D. L. Dwoyer, M. Y. Hussaini, and R. G. Voigt, editors, 11th International Conference on Numerical Methods in Fluid Dynamics, pages 374–378, Berlin, Heidelberg, 1989. Springer Berlin Heidelberg.

[24]

Riccardo Milani. Compatible Discrete Operator schemes for the unsteady incompressible Navier–Stokes equations. PhD thesis, Université Paris-Est, 2020.

[25]

S. Patankar and D. Spalding. A calculation procedure for heat, mass and momentum transfer in three dimensional parabolic flows. International Journal of Heat and Mass Transfer, 15:1787–1806, 1972.

[26]

S Patankar. Numerical Heat Transfer and Fluid Flows. Hemishhere Publishing Corporation, 1980.

[27]

Régine Témam. Sur l’approximation de la solution des équations de navier-stokes par la méthode des pas fractionnaires. Archive for Rational Mechanics, pages 377–385, 1969.