bibliography

Caterina Calgaro, Claire Colin, Emmanuel Creusé. A combined finite volume - finite element scheme for a low-Mach system involving a Joule term. AIMS Mathematics, AIMS Press, 2020, 5 (1), pp.311-331. ⟨10.3934/math.2020021⟩. ⟨hal-02398893⟩

Caterina Calgaro, Claire Colin, Emmanuel Creusé. A combined Finite Volumes -Finite Elements method for a low-Mach model. International Journal for Numerical Methods in Fluids, Wiley, 2019, 90 (1), pp.1-21. ⟨10.1002/fld.4706⟩. ⟨hal-01574894v2⟩

Caterina Calgaro, Claire Colin, Emmanuel Creusé, Ezzeddine Zahrouni. Approximation by an iterative method of a low Mach model with temperature dependent viscosity. Mathematical Methods in the Applied Sciences, Wiley, 2019, 42 (1), pp.250-271. ⟨10.1002/mma.5342⟩. ⟨hal-01801242⟩

Caterina Calgaro, Meriem Ezzoug, Ezzeddine Zahrouni. Stability and convergence of an hybrid finite volume-finite element method for a multiphasic incompressible fluid model. Communications on Pure and Applied Analysis, AIMS American Institute of Mathematical Sciences, 2018, 17 (2), pp.429-448. ⟨10.3934/cpaa.2018024⟩. ⟨hal-01586201⟩

Caterina Calgaro, Emmanuel Creusé, Thierry Goudon, Stella Krell. Simulations of non homogeneous viscous flows with incompressibility constraints. Mathematics and Computers in Simulation, Elsevier, 2017, 137, pp.201-225. ⟨10.1016/j.matcom.2016.11.006⟩. ⟨hal-01246070v2⟩

Caterina Calgaro, Meriem Ezzoug, Ezzeddine Zahrouni. On the global existence of weak solution for a multiphasic incompressible fluid model with Korteweg stress. Mathematical Methods in the Applied Sciences, Wiley, 2017, ⟨10.1002/mma.3969⟩. ⟨hal-01388718⟩

Caterina Calgaro, Emmanuel Creusé, Thierry Goudon. Modeling and Simulation of Mixture Flows : Application to Powder-Snow Avalanches. Computers and Fluids, Elsevier, 2015, 107, pp.100-122. ⟨hal-00732112v2⟩

Caterina Calgaro, Emmanuel Creusé, Thierry Goudon, Yohan Penel. Positivity-preserving schemes for Euler equations: Sharp and practical CFL conditions. Journal of Computational Physics, Elsevier, 2013, 234 (1), pp.417--438. ⟨10.1016/j.jcp.2012.09.040⟩. ⟨hal-00768479v2⟩

Thierry Goudon, Emile Chane-Kane, Emmanuel Creusé, Caterina Calgaro. L infini-stability of vertex-based MUSCL finite volume schemes on unstructured grids; simulation of incompressible flows with high density ratios. Journal of Computational Physics, Elsevier, 2010, 229 (17), pp.6027-6046. ⟨10.1016/j.jcp.2010.04.034⟩. ⟨inria-00408770⟩

Caterina Calgaro, Jean-Paul Chehab, Yousef Saad. Incremental incomplete LU factorizations with applications. Numerical Linear Algebra with Applications, Wiley, 2010, 17 (5), pp.811--837. ⟨10.1002/nla.756⟩. ⟨hal-00768318⟩

Caterina Calgaro, Jean-Paul Chehab, Jacques Laminie, Ezzeddine Zahrouni. Séparation des échelles et schémas multiniveaux pour les équations d'ondes non-linéaires. ESAIM: Proceedings, EDP Sciences, 2009, 27, pp.180-208. ⟨10.1051/proc/2009027⟩. ⟨hal-00768332⟩

Caterina Calgaro, Emmanuel Creusé, Thierry Goudon. An Hybrid Finite Volume-Finite Element Method for Variable Density Incompressible Flows. Journal of Computational Physics, Elsevier, 2008, 227 (9), pp.4671-4696. ⟨10.1016/j.jcp.2008.01.017⟩. ⟨inria-00164044⟩

Caterina Calgaro, Paul Deuring, Delphine Jennequin. A preconditioner for generalized saddle point problems: application to 3D stationary Navier-Stokes equations. Numerical Methods for Partial Differential Equations, Wiley, 2006, 22 (6), pp.1289--1313. ⟨10.1002/num.20154⟩. ⟨hal-00768482⟩

Jacques Laminie, Caterina Calgaro. On the domain decomposition method for the generalized Stokes problem with continuous pressure. Numerical Methods for Partial Differential Equations, Wiley, 2000, 16 (1), pp.84-106. ⟨10.1002/(SICI)1098-2426(200001)16:1<84::AID-NUM7>3.0.CO;2-2⟩. ⟨hal-00730200⟩

Jacques Laminie, Caterina Calgaro, Arnaud Debussche. On a multilevel approach for the two-dimensional Navier-Stokes equations with finite elements. International Journal for Numerical Methods in Fluids, Wiley, 1998, 27 (1-4), pp.241-258. ⟨10.1002/(SICI)1097-0363(199801)27:1/4<241::AID-FLD662>3.0.CO;2-4⟩. ⟨hal-00730709⟩

Jacques Laminie, Caterina Calgaro, Roger M. Temam. Dynamical multilevel schemes for the solution of evolution equations by hierarchical finite element discretization. Applied Numerical Mathematics, Elsevier, 1997, 23 (4), pp.403-442. ⟨10.1016/S0168-9274(96)00074-8⟩. ⟨hal-00730710⟩

Caterina Calgaro, Emmanuel Creusé. A finite volume method for a convection- diffusion equation involving a Joule term. International Conference on Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway. pp.405-413, ⟨10.1007/978-3-030-43651-3_37⟩. ⟨hal-02432936⟩

Caterina Calgaro, Meriem Ezzoug. $L^\infty$-Stability of IMEX-BDF2 Finite Volume Scheme for Convection-Diffusion Equation. FVCA 2017: Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects, Jun 2017, Lille, France. pp.245-253, ⟨10.1007/978-3-319-57397-7_17⟩. ⟨hal-01574893⟩

Caterina Calgaro, Paul Deuring, Delphine Jennequin. Computation of 3{D} exterior stationary incompressible {N}avier-{S}tokes flows with non-zero velocity at infinity. GAMM 2003, Mar 2003, Abano - Padoua, Italy. pp.533--534. ⟨hal-00768485⟩

Caterina Calgaro, Jean-François Coulombel, Thierry Goudon. Analysis and simulation of fluid dynamic, Series : Advances in mathematical fluid mechanics. Birkhauser Verlag, pp.viii+246, 2007. ⟨hal-00768489⟩