Juan Galvis Publications and Working Papers

In preparation

Y. Efendie, T. Hou, ....
Y. Efendiev, M. Moon, R. Lazarov, M. Sarkis....
M. Sarkis, J. Williems....
Y. Efendiev, R. Lazarov, P. Chatzipantelidis, ... (on higher order finite volume methods)
Y. Efendiev, E. Gildin,  A. Romanovskaya, ... (on local-global model reduction approaches)
V. Calo, Y. Efendiev, A. Niemi....(on high-contrast  problems, ms and dpg)
Y. Efendiev, S. Weißer, R. Lazarov, ...(on bem based mixed fem)
H. Versieux, ....(on free interface problems)
Y. Efendiev, J. Wei, P. S. Vassilevski, .... (on ensemble-level preconditioning and ms)
Y. Efendiev, S. Ki Kang and R. Lazarov,... (on multiscale fem for nonlinear flows in porous media)
J. Galvis and M. Sarkis, Analysis of FETI-DP for Stokes/Darcy coupling
J. S. Azevedo, J. Galvis, S. Oliveira and M. Sarkis..., (on stochastic elliptic equations)

Submitted

  1. J. Galvis and H. Versieux, An iterative  domain decomposition method for free boundary problems with nonlinear flux jump constraint
  2. Y. Efendiev, J. Galvis, R. Lazarov, S. Margenov and J. Ren, Robust two-level domain decomposition preconditioners for high-contrast  anisotropic flows in multiscale media
  3. Y. Efendiev, J.Galvis and M.S. Pauletti, Multiscale finite element methods for flows on rough surfaces 
  4. M. Dryja, J. Galvis and M. Sarkis, A FETI-DP preconditioner for a composite finite element and discontinuous Galerkin method
  5. V. Calo, Y. Efendiev and J. Galvis, Asymptotic expansions for high-contrast elliptic equations (preprint and illustration)
  6. Y. Efendiev, J. Galvis and P. S. Vassilevski, Multiscale Spectral AMGe Solvers for High-Contrast Flow Problems (preprint)
  7. Y. Efendiev, J. Galvis and F. Thomines, A systematic coarse-scale model reduction technique for parameter-dependent flows in highly heterogeneous media and its applications (RB-MsFEM),
  8. Y. Efendiev, J. Galvis, R. Lazarov, S. Margenov and J. Ren, Multiscale domain decomposition preconditioners for anisotropic high-contrast problems (Isc preprint)
  9. Y. Efendiev, J. Galvis and E. Gildin, Local-global multiscale model reduction for flows in highly heterogeneous media
  10. Y. Efendiev, J. Galvis, R. Lazarov and J. Willems, Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincare´ Inequalities. Submitted to Large-Scale Scientific Computing: 8th International Conference, LSSC 2011, Sozopol, Bulgaria, (pdf. from J. Willems site)

Accepted

  1. J. Galvis and M. Sarkis, Regularity results for the ordinary product stochastic pressure equation, Accepted: SIAM Journal on Mathematical Analysis -SIMA. (IMPA preprint .pdf-version_1)
  2. Y. Efendiev, J. Galvis, S. Ki Kang and R. Lazarov, Robust multiscale domain decomposition method for nonlinear flows in highly heterogeneous media. Numerical Mathematics: Theory , Methods and Applications. (Isc preprint).


Published (refereed journals and refereed conference proceedings)


  1. M. Dryja, J. Galvis and M. Sarkis, Neumann-Neumann methods for a DG discretization of elliptic problems with discontinuous coefficients on geometrically nonconforming substructures. Numerical Methods for Partial Differential Equations July 2012 Volume 28, Issue 4, pp. 1194-1226. (published online: 28 APR 2011)

  2. Y. Efendiev, J. Galvis, R. Lazarov and J. Willems, Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms, ESAIM: Mathematical Modelling and Numerical Analysis September 2012, 46 : pp 1175-1199. (Ricam Report .pdf)

  3.  Y. Efendiev and J. Galvis, Coarse-Grid Multiscale Model Reduction Techniques for Flows in Heterogeneous Media and Applications. Chapter of  Numerical Analysis of Multiscale Problems, Lecture Notes in Computational Science and Engineering, 2012, Volume 83, 97-125, DOI: 10.1007/978-3-642-22061-6_4

  4. V. Calo, Y. Efendiev and J. Galvis, A note on variational multiscale methods for high-contrast heterogeneous flows with rough source terms. Advances in Water Resources, 34 (9), September 2011, pp. 1177-1185.

  5. Y. Efendiev, J. Galvis, and X.-H. Wu, Multiscale finite element methods for high-contrast problems using local spectral basis functions. Journal of Computational Physics. Volume 230, Issue 4, 20 February 2011, Pages 937-955.

  6. Efendiev, J. Galvis, and P. Vassielvski, Spectral Element Agglomerate Algebraic Multigrid Methods for Elliptic Problems with High-Contrast Coefficients, in Domain Decomposition Methods in Science and Engineering XIX, Huang, Y.; Kornhuber, R.; Widlund, O.; Xu, J. (Eds.), Volume 78 of Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2011, Part 3 , pp. 407-414.

  7. Y. Efendiev and J. Galvis, A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems, in Domain Decomposition Methods in Science and Engineering XIX, Huang, Y.; Kornhuber, R.; Widlund, O.; Xu, J. (Eds.), Volume 78 of Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2011, Part 2, pp. 189-196.

  8. J. Galvis and M. Sarkis, FETI-DP for Stokes-Mortar-Darcy Systems, in Domain Decomposition Methods in Science and Engineering XIX, Huang, Y.; Kornhuber, R.; Widlund, O.; Xu, J. (Eds.), Volume 78 of Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2011, Part 2, pp. 221-228.

  9. M. Dryja, J. Galvis and M. Sarkis, N-N Solvers for a DG Discretization for Geometrically Nonconforming Substructures and Discontinuous Coefficients, in Domain Decomposition Methods in Science and Engineering XIX, Huang, Y.; Kornhuber, R.; Widlund, O.; Xu, J. (Eds.), Volume 78 of Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2011, Part 1, pp.27-38.

  10. J. Galvis and Y. Efendiev, Domain decomposition preconditioners for multiscale flows in high contrast media. Reduced dimension coarse spaces. Multiscale Model. Simul. Volume 8, Issue 5, pp. 1621-1644 (2010). Listed Top 20 Most Downloaded Articles Multiscale Model. Simul.  Sep-2010, Oct-2010, Nov-2010,  Dic-2010, Jan-2011, Feb-2011, Apr-2012

  11. J. Galvis and Y. Efendiev, Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media, Multiscale Model. Simul. Volume 8, Issue 4, pp. 1461-1483 (2010). Listed Top 20 Most Downloaded Articles Multiscale Model. Simul. Aug-2010, Sep-2010, Oct-2010.

  12. J. GALVIS, M. SARKIS, BDD and FETI Methods for Mortar Coupling of Stokes-Darcy Systems.  Commun. Appl. Math. Comput. Sci. Vol. 5 (2010), No. 1, 1-30 (Preprint)

  13. J. Galvis and M. Sarkis, Approximating infinity-dimensional stochastic Darcy's equations without uniform ellipticity. SIAM J. Numer. Anal. Volume 47(2009), Issue 5, pp. 3624-3651 (Preprint)

  14. J. GALVIS AND M. SARKIS, A Priori error estimates and FETI preconditioners for Coupling Stokes-Darcy Equations, in Memorias de la Escuela Internacional CIMPA -UNESCO-REALMA "Matemáticas para el modelamiento y la simulación, Published by the Universidad del Valle, eds. Marc Lassonde and Olga Vasilieva., 2008. 

  15. M. DRYJA, J. GALVIS, M. SARKIS, Balancing domain decomposition methods for discontinuous Galerkin discretization, in Domain Decomposition Methods in Science and Engineering  XVII,  Ulrich Langer et al. (eds.), vol. 60 of Lecture Notes in Computational Science and Engineering, Springer-Verlag, 2008, pp 271-278.

  16. M. DRYJA, J. GALVIS, M. SARKIS, BDDC Methods for discontinuous Galerkin discretization of elliptic problems, Journal of Complexity, Volume 23, Issues 4-6, August-December 2007, Pages 715-739.

  17. J. GALVIS AND M. SARKIS, Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations.  Electron. Trans. Numer. Anal. Vol. 26 (2007), pp. 350-384.

  18. J. GALVIS AND M. SARKIS, Balancing domain decomposition methods for mortar coupling Stokes-Darcy systems, in Domain Decomposition Methods in Science and Engineering XVI, D. Keyes and O. B. Widlund, eds., vol. 55 of Lecture Notes in Computational Science and Engineering, Springer, 2007, pp. 373-380.

  19. J. Galvis and M. Sarkis, Inf-sup for coupling Stokes–Darcy, In: XXV Iberian Latin American Congress in Computational Methods in Engineering, 2005, Recife. Proceedings of the XXV Iberian Latin American Congress in Computational Methods in Engineering, Recife, Brazil, 2004. Published by the Universidade Federal de Pernambuco, eds. Abimael Loula et al., 2004.


Other publications

  1. J.Galvis and H. Versieux. Introdução a Aproximação Numérica de Equações Diferenciais Parciais Via o Método de Elementos Finitos. Lecture notes for a minicourse in the 28 Colóquio Brasileiro de Matemática IMPA, Rio de Janeiro, 19 a 29 de julho de 2011.
  2. J. Galvis, Introdução aos métodos de decomposição de domínio. Lecture notes for a minicourse in the 27 Colóquio Brasileiro de Matemática IMPA, Rio de Janeiro, 27 a 31 de julho de 2009.
  3. J. Galvis, Domain decomposition analysis for heterogeneous Darcy's flow, PhD thesis, Instituto Nacional de Matemática Pura e Aplicada-IMPA, March 2008.
  4. J. Galvis, Finite elements for well-reservoir coupling, master's thesis, Instituto Nacional de Matemática Pura e Aplicada-IMPA, April 2004.