Publications

Journal Publications

1.      R. Chakir, Y. Maday, Une méthode combinée d'éléments finis a deux grilles/bases réduites pour l'approximation des solutions d'une EDP paramétrique, C. R. Acad. Sci. Paris, Ser. I 347 (2009) 435 - 440.

2.      E. Cances, R. Chakir and Y. Maday, Numerical analysis of nonlinear eigenvalue problems, Journal of Scientific Computing, Volume 45, Numbers 1-3, p90-117 (2010).

3. E. Cances, R. Chakir and Y. Maday, Numerical analysis of the plane wave discretization of some orbital-free and Kohn-Sham models*, ESAIM: Mathematical Modelling and Numerical Analysis, Volume 46, Issue 02, p341-388 (2011).

4.     E. Cancès, R. Chakir, L. He and Y. Maday, Two grid methods for a class of nonlinear elliptic eigenvalue problems, IMA Journal of Numerical Analysis 38 (2), p605-645 (2017).

5.     R. Chakir and J.K. Hammond, A non-intrusive reduced basis method for elastoplasticity problems in geotechnics, Journal of Computational and Applied Mathematics, Volume 337, p1-17 (2018)

6. R. Chakir, Y. Maday and P. Parnaudeau, A non-intrusive reduced basis approach for parametrized heat transfer problems. Journal of Computational Physics, Volume 376, p 617-633 (2019)

7. J.K. Hammond, R. Chakir, F. Bourquin, Y. Maday. PBDW: A non-intrusive Reduced Basis Data Assimilation method and its application to an urban dispersion modeling framework. Applied Mathematical Modelling,Volume 76, p1-25 (2019)

Link to Scholar Google page

Proceeding

1. R. Chakir, Y. Maday. A two-grid finite-element/reduced basis scheme for the approximation of the solution of parameter dependent PDE. 9e Colloque national en calcul des structures, CSMA, May 2009, Giens, France. ⟨hal-01420726⟩

2. R. Chakir, P. Joly, Y. Maday and P. Parnaudeau, A non intruisive reduced basis: application to computational fluid dynamics, 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France ⟨hal-00855906⟩

3. R. Chakir, C. Dapogny, C. Japhet, Y. Maday, J-B Montavon, O. Pantzand A. Patera Component mapping automation for parametric component reduced basis techniques (RB-component) ". CEMRACS 2016 - Numerical challenges in parallel scientific computing, ESAIM: PROCEEDINGS AND SURVEYS, June 2018, Vol. 63, p. 208-227

4. J.K. Hammond, R. Chakir A non-intrusive reduced order data assimilation method applied to the monitoring of urban flows, CSMA2019 - 14ème Colloque National en Calcul des Structures, May 2019, Giens, France. ⟨hal-02186298⟩