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Bibliography

Publications of the year

Doctoral Dissertations and Habilitation Theses

  • 1T. T. P. Hoang.
    Méthodes de décomposition de domaine espace-temps pour la formulation mixte de problèmes d'écoulement et de transport en milieu poreux, Université Pierre et Marie Curie - Paris VI, December 2013.
    http://hal.inria.fr/tel-00922325

Articles in International Peer-Reviewed Journals

  • 2A. Adimurthi, G. D. V. Gowda, J. Jaffré.
    The DFLU flux for systems of conservation laws, in: Journal of Computational and Applied Mathematics, 2013, vol. 247, pp. 102-123. [ DOI : 10.1016/j.cam.2012.12.025 ]
    http://hal.inria.fr/hal-00922936
  • 3I. Ben Gharbia, J. C. Gilbert.
    An algorithmic characterization of P-matricity, in: SIAM Journal on Matrix Analysis and Applications, 2013, vol. 34, pp. 904-916. [ DOI : 10.1137/120883025 ]
    http://hal.inria.fr/hal-00713330
  • 4I. Ben Gharbia, J. Jaffré.
    Gas phase appearance and disappearance as a problem with complementarity constraints, in: Mathematics and Computers in Simulation, August 2013, Accepted for Publication in Mathematics and Computers in Simulation. Available online 6 August 2013. [ DOI : 10.1016/j.matcom.2013.04.021 ]
    http://hal.inria.fr/hal-00641621
  • 5S. Boldo, F. Clément, J.-C. Filliâtre, M. Mayero, G. Melquiond, P. Weis.
    Wave Equation Numerical Resolution: a Comprehensive Mechanized Proof of a C Program, in: Journal of Automated Reasoning, April 2013, vol. 50, no 4, pp. 423-456. [ DOI : 10.1007/s10817-012-9255-4 ]
    http://hal.inria.fr/hal-00649240
  • 6C. Cancès, I. S. Pop, M. Vohralík.
    An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow, in: Mathematics of Computation, 2014, vol. 83, no 285, pp. 153-188.
    http://hal.inria.fr/hal-00623209
  • 7D. A. Di Pietro, M. Vohralík.
    A review of recent advances in discretization methods, a posteriori error analysis, and adaptive algorithms for numerical modeling in geosciences, in: Oil and Gas Science and Technology, June 2013, To appear.
    http://hal.inria.fr/hal-00783068
  • 8V. Dolejší, A. Ern, M. Vohralík.
    A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems, in: SIAM Journal on Numerical Analysis, March 2013, vol. 51, no 2, pp. 773-793. [ DOI : 10.1137/110859282 ]
    http://hal.inria.fr/hal-00652979
  • 9A. Ern, M. Vohralík.
    Four closely related equilibrated flux reconstructions for nonconforming finite elements, in: Comptes Rendus Mathématique. Académie des Sciences. Paris, January 2013, vol. 351, no 1-2, pp. 77-80. [ DOI : 10.1016/j.crma.2013.01.001 ]
    http://hal.inria.fr/hal-00750777
  • 10A. Ern, M. Vohralík.
    Adaptive inexact Newton methods with a posteriori stopping criteria for nonlinear diffusion PDEs, in: SIAM Journal on Scientific Computing, July 2014, vol. 35, no 4. [ DOI : 10.1137/120896918 ]
    http://hal.inria.fr/hal-00681422
  • 11M. Gander, C. Japhet.
    Algorithm 932: PANG: Software for Non-Matching Grid Projections in 2d and 3d with Linear Complexity, in: ACM Transactions on Mathematical Software, September 2013, vol. 40, no 1. [ DOI : 10.1145/2513109.2513115 ]
    http://hal.inria.fr/hal-00933643
  • 12T. T. P. Hoang, J. Jaffré, C. Japhet, M. Kern, J. Roberts.
    Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations, in: SIAM Journal on Numerical Analysis (SINUM), December 2013, vol. 51, no 6, pp. 3532-3559. [ DOI : 10.1137/130914401 ]
    http://hal.inria.fr/hal-00803796
  • 13C. Japhet, Y. Maday, F. Nataf.
    A New Interface Cement Equilibrated Mortar (NICEM) method with Robin interface conditions: the P1 finite element case, in: Mathematical Models and Methods in Applied Sciences, March 2013, vol. 23, no 12, pp. 2253-2292. [ DOI : 10.1142/S0218202513500310 ]
    http://hal.inria.fr/hal-00933608
  • 14G. Pencheva, M. Vohralík, M. Wheeler, T. Wildey.
    Robust a posteriori error control and adaptivity for multiscale, multinumerics, and mortar coupling, in: SIAM Journal on Numerical Analysis, February 2013, vol. 51, no 1, pp. 526-554. [ DOI : 10.1137/110839047 ]
    http://hal.inria.fr/hal-00467738
  • 15M. Vohralík, M. Wheeler.
    A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows, in: Computational Geosciences, October 2013, vol. 17, no 5, pp. 789-812. [ DOI : 10.1007/s10596-013-9356-0 ]
    http://hal.inria.fr/hal-00633594
  • 16M. Vohralík, B. Wohlmuth.
    From face to element unknowns by local static condensation with application to nonconforming finite elements, in: Computer Methods in Applied Mechanics and Engineering, January 2013, vol. 253, pp. 517-529. [ DOI : 10.1016/j.cma.2012.08.013 ]
    http://hal.inria.fr/hal-00614633
  • 17M. Vohralík, B. Wohlmuth.
    Mixed finite element methods: implementation with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods, in: Mathematical Models & Methods in Applied Sciences, January 2013, vol. 23, no 5, pp. 803-838. [ DOI : 10.1142/S0218202512500613 ]
    http://hal.inria.fr/hal-00497394

International Conferences with Proceedings

  • 18T. T. P. Hoang, J. Jaffré, C. Japhet, M. Kern, J. Roberts.
    Space-Time Domain Decomposition for Mixed Formulations of Diffusion Equations, in: 21st International Conference on Domain Decomposition Methods, Rennes, France, Lecture Notes in Computational Science and Engineering, Springer, December 2013.
    http://hal.inria.fr/hal-00923353

Internal Reports

  • 19F. Cuvelier, C. Japhet, G. Scarella.
    An efficient way to perform the assembly of finite element matrices in Matlab and Octave, Inria, May 2013, no RR-8305, 40 p.
    http://hal.inria.fr/hal-00479814
  • 20C. Josz, J. Maeght, P. Panciatici, J. C. Gilbert.
    Application of the Moment-SOS Approach to Global Optimization of the OPF Problem, Inria, November 2013, no RR-8397, 21 p.
    http://hal.inria.fr/hal-00906483
  • 21P. Knabner, J. Roberts.
    Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture, Inria, 2013, no RR-8443, 23 p.
    http://hal.inria.fr/hal-00922962

Other Publications

  • 22D. A. Di Pietro, E. Flauraud, M. Vohralík, S. Yousef.
    A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media, 2013.
    http://hal.inria.fr/hal-00839487
  • 23D. A. Di Pietro, M. Vohralík, S. Yousef.
    A posteriori error estimates with application of adaptive mesh refinement for thermal multiphase compositional flows in porous media, August 2013, Article soumis.
    http://hal.inria.fr/hal-00856437
  • 24V. Dolejší, I. Šebestová, M. Vohralík.
    Algebraic and discretization error estimation by equilibrated fluxes for discontinuous Galerkin methods on nonmatching grids, 2013.
    http://hal.inria.fr/hal-00851822
  • 25A. Ern, M. Vohralík.
    Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations, 2013.
    http://hal.inria.fr/hal-00921583

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