Bibliography

Doctoral Dissertations and Habilitation Theses

• 1V. Emmanuel.
  
  Méthodes d'éléments finis a posteriori pour les équations de Reissner-Mindlin, Université Lille 1, 2012.
• 2Z. Tang.
  
  Estimateurs d'erreur a posteriori résiduels en éléments finis pour la résolution de problèmes d'électromagnétisme en formulations potentielles, Université Lille 1, 2012.

Articles in International Peer-Reviewed Journals

• 3X. Antoine, C. Besse, P. Klein.
  
  Absorbing Boundary Conditions for the Two-Dimensional Schrödinger Equation with an Exterior Potential. Part I: Construction and a priori Estimates, in: M3AS, 2012, vol. 22, n^o 10.
• 4C. Bataillon, F. Bouchon, C. Chainais-Hillairet, J. Fuhrmann, E. Hoarau, R. Touzani.
  
  Numerical methods for the simulation of a corrosion model with moving oxide layer, in: J. Comput. Phys., 2012.
  
  http://dx.doi.org/10.1016/j.jcp.2012.06.005
• 5S. Benzoni-Gavage, J.-F. Coulombel.
  
  On the amplitude equations for weakly nonlinear surface waves, in: Archive for Rational Mechanics and Analysis, 2012, p. 10.1007/s00205-012-0522-7. [ DOI : 10.1007/s00205-012-0522-7 ]
  
  http://hal.inria.fr/hal-00607348
• 6C. Besse, J. Coatleven, S. Fliss, I. Lacroix-Violet, K. Ramdani.
  
  Transparent boundary conditions for locally perturbed infinite hexagonal periodic media, in: Communications in Math Sciences, 2012.
• 7C. Besse, F. Deluzet, C. Negulescu, C. Yang.
  
  Efficient Numerical Methods for Strongly Anisotropic Elliptic Equations, in: Journal of Scientific Computing, 2012.
• 8J.-F. Bodart, A. Devys, T. Goudon, P. Lafitte.
  
  Signal propagation in the MAPK cascade: role of bistability and ultrasensitivity for a mixed problem, in: Journal of Mathematical Biology, 2012, vol. 64, p. 1-39.
  
  http://hal.inria.fr/inria-00450744
• 9C.-H. Bruneau, E. Creusé, D. Depeyras, P. Gilliéron, I. Mortazavi.
  
  Active and passive flow control around simplified ground vehicles, in: Journal of Applied Fluid Mechanics, 2012, vol. 5, n^o 1, p. 89-93.
• 10C.-H. Bruneau, E. Creusé, D. Depeyras, P. Gilliéron, I. Mortazavi.
  
  Active and Passive Flow Control around Simplified Ground Vehicles, in: J Applied Fluid Mech., 2012, vol. 5, n^o 1.
  
  http://hal.inria.fr/hal-00664969
• 11C. Calgaro, E. Creusé, T. Goudon, Y. Penel.
  
  Positivity-preserving schemes for Euler equations: Sharp and practical CFL conditions, in: J. Comput. Phys., 2013, p. 417-438.
  
  http://dx.doi.org/10.1016/j.jcp.2012.09.040
• 12C. Chainais-Hillairet, I. Lacroix-Violet.
  
  The existence of solutions to a corrosion model, in: Appl. Math. Lett., 2012, doi:10.1016/j.aml.2012.02.012.
• 13J.-F. Coulombel, T. Goudon, P. Lafitte, C. Lin.
  
  radiative hydrodynamics: formation of Zeldovich spikes, in: Shock Waves, 2012, vol. 22, p. 181-197.
  
  http://dx.doi.org/10.1007/s00193-012-0368-9
• 14E. Creusé, S. Nicaise.
  
  A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods, in: IMA Journal of Numerical Analysis, 2012, to appear.
• 15E. Creusé, S. Nicaise, Z. Tang, Y. Le Menach, N. Nemitz, F. Piriou.
  
  Residual-based a posteriori estimators for the $𝐀-\varphi$ magnetodynamic harmonic formulation of the Maxwell system, in: Mathematical Models and Methods in Applied Sciences, 2012, to appear.
• 16E. Creusé, S. Nicaise.
  
  A posteriori error estimator based on gradient recovery by averaging for convection-diffusion-reaction problems approximated by discontinuous Galerkin methods, in: IMA Journal of Numerical Analysis, 2012, vol. doi : 10.1093/imanum/drr052.
• 17E. Creusé, S. Nicaise, Z. Tang, Y. Le Menach, N. Nemitz, F. Piriou.
  
  Residual-based a posteriori estimators for the $𝐀-\phi$ magnetodynamic harmonic formulation of the Maxwell system, in: Math. Models Methods Appl. Sci., 2012, vol. 22, n^o 5, 1150028, 30 p.
  
  http://dx.doi.org/10.1142/S021820251150028X
• 18E. Creusé, S. Nicaise, Z. Tang, Y. Le Menach, N. Nemitz, F. Piriou.
  
  Residual-based a posteriori estimators for the $𝐓-\Omega$ magnetodynamic harmonic formulation of the Maxwell system, in: Int. Journal of Numerical Analysis and Modeling, 2012, to appear.
• 19A. Gloria.
  
  Fluctuation of solutions to linear elliptic equations with noisy diffusion coefficients, in: Comm. PDE, 2012, to appear.
  
  http://hal.inria.fr/hal-00674445
• 20A. Gloria.
  
  Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations, in: M2AN Math. Model. Numer. Anal., 2012, vol. 46, n^o 1, p. 1–38.
  
  http://hal.archives-ouvertes.fr/inria-00510514/en/
• 21A. Gloria, P. Le Tallec, M. Vidrascu.
  
  Foundation, analysis, and numerical investigation of a variational network-based model for rubber, in: Cont. Mech. Thermodynamics, 2012, to appear.
  
  http://hal.archives-ouvertes.fr/hal-00673406
• 22A. Gloria, J.-C. Mourrat.
  
  A quantitative version of the Kipnis-Varadhan theorem and Monte-Carlo approximation of homogenized coefficients, in: Ann. Appl. Probab., 2012, to appear.
  
  http://hal.inria.fr/inria-00579424/en/
• 23A. Gloria, J.-C. Mourrat.
  
  Spectral measure and approximation of homogenized coefficients, in: Probab. Theory. Relat. Fields, 2012, vol. 154, n^o 1, p. 287-326, DOI 10.1007/s00440-011-0370-7.
  
  http://hal.archives-ouvertes.fr/inria-00510513/en/
• 24A. Gloria, F. Otto.
  
  An optimal error estimate in stochastic homogenization of discrete elliptic equations, in: Ann. Appl. Probab., 2012, vol. 22, n^o 1, p. 1–28.
  
  http://hal.archives-ouvertes.fr/inria-00457020/en/
• 25P. Lafitte, C. Mascia.
  
  Numerical exploration of a forward–backward diffusion equation, in: Mathematical Models and Methods in Applied Sciences, 2012, vol. 22, n^o 06, 1250004 p. [ DOI : 10.1142/S0218202512500042 ]
  
  http://arxiv.org/abs/1008.5108v1
• 26P. Lafitte, K. Raschel, V. C. Tran.
  
  Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant, in: SIAM Journal on Applied Mathematics, 2013, accepted for publication.
  
  http://hal.archives-ouvertes.fr/hal-00664536
• 27P. Lafitte, G. Samaey.
  
  Asymptotic-preserving projective integration schemes for kinetic equations in the diffusion limit, in: SIAM Journal on Scientific Computing, 2012, vol. 34, n^o 2, p. A579-A602. [ DOI : 10.1137/100795954 ]
  
  http://arxiv.org/abs/1006.2603v1
• 28T. Lelièvre, M. Rousset, G. Stoltz.
  
  Langevin dynamics with constraints and computation of free energy differences, in: J-MATH-COMPUT, October 2012, vol. 81, n^o 280, p. 2071–2125.
• 29M. Rousset, G. Samaey.
  
  Individual-based models for bacterial chemotaxis in the diffusion asymptotics, in: Mathematical Models and Methods in Applied Sciences, 2012, to appear.
• 30M. Rousset, G. Samaey.
  
  Simulating individual-based models of bacterial chemotaxis with asymptotic variance reduction, in: Mathematical Models and Methods in Applied Sciences, 2012, to appear.

International Conferences with Proceedings

• 31Z. Tang, Y. Le Menach, E. Creusé, S. Nicaise, F. Piriou, N. Nemitz.
  
  A posteriori error estimator for harmonic A-Phi formulation, in: EPNC 2012 Pula, Croatia, 2012.
• 32Z. Tang, Y. Le Menach, E. Creusé, S. Nicaise, F. Piriou, N. Nemitz.
  
  Residual based a posteriori error estimator for harmonic A-Phi and T-Omega formulation in eddy current problems, in: CEFC 2012 Oita, Japan, 2012.

Scientific Books (or Scientific Book chapters)

• 33A. Gloria.
  
  Numerical homogenization: survey, new results, and perspectives, in: Mathematical and numerical approaches for multiscale problem, EDP Sciences, 09 2012, vol. 37.

Other Publications

• 34X. Antoine, C. Besse, P. Klein.
  
  Absorbing Boundary Conditions for the Two-Dimensional Schrödinger Equation with an Exterior Potential. Part II: Discretization and Numerical Results, 2012, in revision for Numerische Mathematik.
• 35M. Bernard, S. Dellacherie, G. Faccanoni, B. Grec, O. Lafitte, T. T. Nguyen, Y. Penel.
  
  Study of a low Mach nuclear core model for single-phase flows, 2012.
  
  http://hal.inria.fr/hal-00662978
• 36C. Besse, R. Carles, F. Méhats.
  
  An asymptotic-preserving scheme based on a new formulation for NLS in the semiclassical limit, 2013, submitted.
• 37C. Besse, J. Coatleven, S. Fliss, I. Lacroix-Violet, K. Ramdani.
  
  Transparent boundary conditions for locally perturbed infinite hexagonal periodic media., 2012.
  
  http://hal.inria.fr/hal-00698916
• 38C. Calgaro, E. Creusé, T. Goudon.
  
  Simulation of Mixture Flows: Pollution Spreading and Avalanches, 2012.
  
  http://hal.inria.fr/hal-00732112
• 39M. Doumic Jauffret, L. M. Tine.
  
  Estimating the Division Rate for the Growth-Fragmentation Equation, 2012.
  
  http://hal.inria.fr/hal-00634539
• 40G. Dujardin, P. Lafitte.
  
  Asymptotic behavior of splitting schemes involving time-subcycling techniques, November 2012.
  
  http://hal.archives-ouvertes.fr/hal-00751217
• 41A. Gloria, T. Goudon, S. Krell.
  
  Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage, 2012, Preprint.
  
  http://hal.archives-ouvertes.fr/hal-00674519
• 42A. Gloria, M. D. Penrose.
  
  Random parking, Euclidean functionals, and rubber elasticity, 2012.
  
  http://hal.inria.fr/hal-00675037
• 43F. Vecil, P. Lafitte, J. Rosado.
  
  Numerical simulations of multi-dimensional attraction/repulsion collective behavior models, 2012, En révision.
  
  http://hal.archives-ouvertes.fr/hal-00726486

• 44R. Alicandro, M. Cicalese, A. Gloria.
  
  Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity, in: Arch. Ration. Mech. Anal., 2011, vol. 200, n^o 3, p. 881–943.
• 45X. Antoine, A. Arnold, C. Besse, M. Ehrhardt, A. Schädle.
  
  A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations, in: Communications in Computational Physics, 2008, vol. 4, p. 729–796.
• 46X. Antoine, C. Besse, P. Klein.
  
  Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential, in: Journal of Computational Physics, 2009, vol. 228, n^o 2, p. 312-335.
  
  http://hal.archives-ouvertes.fr/hal-00347888/en/
• 47C. Bataillon, C. Chainais-Hillairet, C. Desgranges, E. Hoarau, F. Martin, S. Perrin, M. Turpin, J. Talandier.
  
  Corrosion modelling of iron based alloy in nuclear waste repository, in: Electrochimica Acta, 2010, vol. 15, n^o 55, p. 4451–4467.
• 48N. Bertrand, C. Desgranges, M. Ñastar, G. Girardin, D. Poquillon, D. Monceau.
  
  Chemical evolution in the substrate due to oxidation : a numerical model with explicit treatment of vacancy fluxes, in: Materials Science Forum, 2008, vol. 595-598, p. 463–472.
• 49C. Besse, X. Antoine, J. Szeftel.
  
  Towards accurate artificial boundary conditions for nonlinear PDEs through examples, in: Cubo : a mathematical journal, 2009, vol. 11, n^o 4, p. 29–48.
  
  http://hal.archives-ouvertes.fr/hal-00359358/en/
• 50C. Besse, R. Carles, N. Mauser, H.-P. Stimming.
  
  Monotonicity properties of blow-up time for nonlinear Schrödinger equation: numerical tests, in: Discrete and Cont. Dyn. Syst. B, 2008, vol. 9, p. 11–36.
• 51C.-H. Bruneau, E. Creusé, D. Depeyras, P. Gilliéron, I. Mortazavi.
  
  Coupling passive and active techniques to control the flow past the square back Ahmed body, in: Computers and Fluids, 2010, vol. 39, n^o 10, p. 1875–1892.
• 52C.-H. Bruneau, E. Creusé, D. Depeyras, P. Gilliéron, I. Mortazavi.
  
  Numerical simulation and control of the flow around one or two Ahmed bodies, in: ASME Fluids Engineering Division Summer Meeting, Puerto Rico, USA, 2012.
• 53C.-H. Bruneau, E. Creusé, P. Gilliéron, I. Mortazavi.
  
  Effect of the vortex dynamics on the drag coefficient of a square Ahmed body : Application to the flow control, in: Seventh International Conference on Computational Fluid Dynamics (ICCFD7), Big Island, Hawaii, 2012.
• 54C. Calgaro, E. Chane-Kane, E. Creusé, T. Goudon.
  
  $L^{\infty }$ stability of vertex-based MUSCL finite volume schemes on unstructured grids; simulation of incompressible flows with high density ratios, in: Journal of Computational Physics, 2010, vol. 229, n^o 17, p. 6027–6046.
• 55C. Calgaro, J.-P. Chehab, Y. Saad.
  
  Incremental incomplete LU factorizations with applications, in: Numer. Linear Algebra with Appl., 2010, vol. 17, n^o 5, p. 811–817.
• 56C. Calgaro, E. Creusé, T. Goudon.
  
  An hybrid finite volumes-finite elements method for variable density incompressible flows, in: Journal of Computational Physics, 2008, vol. 227, n^o 9, p. 4671–4696.
• 57J. A. Carrillo, T. Goudon, P. Lafitte.
  
  Simulation of fluid and particles flows: asymptotic preserving schemes for bubbling and flowing regimes, in: J. Comput. Phys., 2008, vol. 227, n^o 16, p. 7929–7951.
• 58E. Creusé, A. Giovannini, I. Mortazavi.
  
  Vortex simulation of active control strategies for transitional backward-facing step flows, in: Computers and Fluids, 2009, vol. 38, p. 1348–1360.
• 59E. Creusé, S. Nicaise.
  
  A posteriori error estimator based on gradient recovery by averaging for discontinuous Galerkin methods, in: Journal of Computational and Applied Mathematics, 2010, vol. 234, n^o 10, p. 2903–2915.
• 60G. Dujardin.
  
  Asymptotics of linear initial boundary value problems with periodic boundary data on the half-line and finite intervals, in: Proc. R. Soc. A, November 2009, n^o 465, p. 3341-3360.
• 61P. Flory.
  
  Statistical mechanics of chain molecules, Interscience Publishers, New York, 1969.
• 62A. Gloria.
  
  Reduction of the resonance error - Part 1: Approximation of homogenized coefficients, in: Math. Models Methods Appl. Sci., 2011, vol. 21, n^o 8, p. 1601–1630.
• 63A. Gloria, F. Otto.
  
  An optimal variance estimate in stochastic homogenization of discrete elliptic equations, in: Ann. Probab., 2011, vol. 39, n^o 3, p. 779–856.
• 64T. Lelièvre, M. Rousset, G. Stoltz.
  
  Free Energy Computations: A Mathematical Perspective, Imperial College Press, 458 p., 2010.
• 65Z. Tang, Y. Le Menach, E. Creusé, S. Nicaise, F. Piriou, N. Nemitz.
  
  Comparison of Residual and Equilibrated Error Estimators for FEM Applied to Magnetostatic Problems, in: ECOMPUMAG 2011 Sydney, Australie, 2011.