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Boris Andreianov

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mostafa-bendahmane
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Solvability analysis and numerical approximation of linearized cardiac electromechanics

Boris Andreianov , Mostafa Bendahmane , Alfio Quarteroni , Ricardo Ruiz-Baier
Mathematical Models and Methods in Applied Sciences, 2015, ⟨10.1142/S0218202515500244⟩
Article dans une revue hal-01256811v1
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Solvability analysis and numerical approximation of linearized cardiac electromechanics

Boris Andreianov , Mostafa Bendahmane , Alfio Quarteroni , Ricardo Ruiz Baier
Mathematical Models and Methods in Applied Sciences, 2015, 25, pp.959-993. ⟨10.1142/S0218202515500244⟩
Article dans une revue hal-00865585v3
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On 3D DDFV discretization of gradient and divergence operators. II. Discrete functional analysis tools and applications to degenerate parabolic problems.

Boris Andreianov , Mostafa Bendahmane , Florence Hubert
Computational Methods in Applied Mathematics, 2013, 13 (4), pp. 369-410. ⟨10.1515/cmam-2013-0011⟩
Article dans une revue hal-00567342v3
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On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality.

Boris Andreianov , Mostafa Bendahmane , Florence Hubert , Stella Krell
IMA Journal of Numerical Analysis, 2012, 32 (4), pp.1574-1603. ⟨10.1093/imanum/drr046⟩
Article dans une revue hal-00355212v3

Finite volume methods for degenerate chemotaxis model

Boris Andreianov , Mostafa Bendahmane , Mazen Saad
Journal of Computational and Applied Mathematics, 2011, 235 (14), pp.4015 - 4031. ⟨10.1016/j.cam.2011.02.023⟩
Article dans une revue hal-01737856v1
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Analysis of a finite volume method for a cross-diffusion model in population dynamics

Boris Andreianov , Mostafa Bendahmane , Ricardo Ruiz Baier
Mathematical Models and Methods in Applied Sciences, 2011, 21 (02), pp.307-344. ⟨10.1142/S0218202511005064⟩
Article dans une revue hal-00458737v2
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Convergence of discrete duality finite volume schemes for the cardiac bidomain model

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen , Charles Pierre
Networks and Heterogeneous Media, 2011, In Press, pp.1-45
Article dans une revue hal-00526047v2
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Structural stability for variable exponent elliptic problems. I. The $p(x)$-laplacian kind problems.

Boris Andreianov , Mostafa Bendahmane , Stanislas Ouaro
Nonlinear Analysis: Theory, Methods and Applications, 2010, 73 (1), pp.2-24. ⟨10.1016/j.na.2010.02.039⟩
Article dans une revue hal-00363284v3
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Structural stability for variable exponent elliptic problems. II. The $p(u)$-laplacian and coupled problems.

Boris Andreianov , Mostafa Bendahmane , Stanislas Ouaro
Nonlinear Analysis: Theory, Methods and Applications, 2010, 72 (12), pp. 4649-4660. ⟨10.1016/j.na.2010.02.044⟩
Article dans une revue hal-00402869v1

Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen
Journal of Hyperbolic Differential Equations, 2010, 7 (1), pp.1--67. ⟨10.1142/S0219891610002062⟩
Article dans une revue hal-00475752v1

Renormalized solutions of the fractional Laplace equation

Nathael Alibaud , Boris Andreianov , Mostafa Bendahmane
Comptes Rendus. Mathématique, 2010, 348, pp. 759-762. ⟨10.1016/j.crma.2010.05.006⟩
Article dans une revue hal-01208279v1

Well-posedness results for triply nonlinear degenerate parabolic equations.

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen , Stanislas Ouaro
Journal of Differential Equations, 2009, 247 (1), pp.277-302. ⟨10.1016/j.jde.2009.03.001⟩
Article dans une revue hal-00475758v1

A gradient reconstruction formula for nite volume schemes and discrete duality

Mostafa Bendahmane , Boris Andreianov , Kenneth H. Karlsen
Finite volumes for complex applications, 2008, France. pp.161-168
Communication dans un congrès hal-01015913v1

A gradient reconstruction formula for finite volume schemes and discrete duality

Boris Andreianov , Mostafa Bendahmane , Kenneth Hvistendahl Karlsen
Finite volumes for complex applications V, Jun 2008, Aussois, France. pp. 161-168
Communication dans un congrès hal-00475877v1