Bibliography

Publications of the year

Articles in International Peer-Reviewed Journals

• 1S. Boldo, F. Clément, J.-C. Filliâtre, M. Mayero, G. Melquiond, P. Weis.
  Trusting Computations: a Mechanized Proof from Partial Differential Equations to Actual Program, in: Computers and Mathematics with Applications, August 2014, vol. 68, n^o 3, 28 p. [ DOI : 10.1016/j.camwa.2014.06.004 ]
  https://hal.inria.fr/hal-00769201
• 2C. 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, n^o 285, pp. 153-188.
  https://hal.archives-ouvertes.fr/hal-00623209
• 3A. Chiche, J. C. Gilbert.
  How the augmented Lagrangian algorithm can deal with an infeasible convex quadratic optimization problem, in: Journal of Convex Analysis, 2015, vol. 4, 30 p.
  https://hal.inria.fr/hal-01111126
• 4D. 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, in: Journal of Computational Physics, November 2014, vol. 276, pp. 163-187. [ DOI : 10.1016/j.jcp.2014.06.061 ]
  https://hal.archives-ouvertes.fr/hal-00839487
• 5D. 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 2014, vol. 69, n^o 4, pp. 701-730. [ DOI : 10.2516/ogst/2013158 ]
  https://hal.archives-ouvertes.fr/hal-00783068
• 6D. A. Di Pietro, M. Vohralík, S. Yousef.
  Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem, in: Mathematics of Computation, 2014, 34 p. [ DOI : 10.1090/S0025-5718-2014-02854-8 ]
  https://hal.archives-ouvertes.fr/hal-00690862
• 7V. Dolejší, I. Šebestová, M. Vohralík.
  Algebraic and discretization error estimation by equilibrated fluxes for discontinuous Galerkin methods on nonmatching grids, in: Journal of Scientific Computing, September 2014, 34 p. [ DOI : 10.1007/s10915-014-9921-2 ]
  https://hal.inria.fr/hal-00851822
• 8C. Josz, J. Maeght, P. Panciatici, J. C. Gilbert.
  Application of the Moment-SOS Approach to Global Optimization of the OPF Problem, in: IEEE Transactions on Power Systems, 2014, vol. 30, n^o 1, 8 p. [ DOI : 10.1109/TPWRS.2014.2320819 ]
  https://hal.inria.fr/hal-00906483
• 9J. E. Roberts, P. Knabner.
  Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture, in: ESAIM: Mathematical Modelling and Numerical Analysis, 2014, pp. 1451-1472, Preliminary report HAL-00922962.
  https://hal.inria.fr/hal-00945028

Invited Conferences

• 10G. Pichot, P. Laug, J. Erhel, J. E. Roberts, J. Jaffré, J.-R. De Dreuzy.
  Meshing Strategies and the Impact of Finite Element Quality on the Velocity Field in Fractured Media, in: SIAM Annual Meeting, Chicago, United States, July 2014.
  https://hal.inria.fr/hal-01074807

Internal Reports

• 11A. Chiche, J. C. Gilbert.
  How the augmented Lagrangian algorithm can deal with an infeasible convex quadratic optimization problem, Inria Paris-Rocquencourt, 2015, n^o RR-8583, 31 p.
  https://hal.inria.fr/hal-01057577

Scientific Popularization

• 12D. A. Di Pietro, M. Vohralík, S. Yousef.
  An a posteriori-based, fully adaptive algorithm with adaptive stopping criteria and mesh refinement for thermal multiphasecompositional flows in porous media, in: Computer and mathematics with applications, December 2014, vol. Volume 68, n^o Issue 12, Part B, pp. 2331-2347. [ DOI : 10.1016/j.camwa.2014.08.008 ]
  https://hal.archives-ouvertes.fr/hal-00856437

Other Publications

• 13E. Cancès, G. Dusson, Y. Maday, B. Stamm, M. Vohralík.
  A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations, May 2014.
  https://hal.archives-ouvertes.fr/hal-00994568
• 14J. C. Gilbert, É. Joannopoulos.
  Inside Oqla and Qpalm, December 2014.
  https://hal.inria.fr/hal-01110433
• 15J. C. Gilbert, É. Joannopoulos.
  Oqla user's guide, December 2014.
  https://hal.inria.fr/hal-01110441
• 16J. C. Gilbert, É. Joannopoulos.
  OQLA/QPALM – Convex quadratic optimization solvers using the augmented Lagrangian approach, with an appropriate behavior on infeasible or unbounded problems, December 2014.
  https://hal.inria.fr/hal-01110362
• 17C. Japhet, Y. Maday, F. Nataf.
  Robin Schwarz algorithm for the NICEM Method: the Pq finite element case, January 2014.
  https://hal.inria.fr/hal-00939352
• 18C. Josz, D. Henrion.
  Strong duality in Lasserre's hierarchy for polynomial optimization, December 2014.
  https://hal.archives-ouvertes.fr/hal-00997726
• 19M. Čermák, F. Hecht, Z. Tang, M. Vohralík.
  An adaptive inexact Uzawa algorithm based on polynomial-degree-robust a posteriori estimates for the Stokes problem, December 2014.
  https://hal.inria.fr/hal-01097662