All Stories

  1. Integrating semi-discrete Lagrangian-Eulerian schemes with generalized multiscale finite elements for enhanced two- and three-phase flow simulations

    Article • Journal of Computational and Applied Mathematics, October 2026, Elsevier

    Dr JUAN GALVIS

  2. On time integrators for Generalized Multiscale Finite Element Methods applied to advection–diffusion in high-contrast multiscale media

    Article • Journal of Computational and Applied Mathematics, May 2025, Elsevier

    Dr JUAN GALVIS

  3. Higher order derivatives of the adjugate matrix and the Jordan form

    Article • Linear Algebra and its Applications, January 2024, Elsevier

    Dr JUAN GALVIS

  4. Modelling and simulation of brinicle formation

    Article • Royal Society Open Science, October 2023, Royal Society Publishing

    Dr JUAN GALVIS

  5. An exponential integration generalized multiscale finite element method for parabolic problems

    Article • Journal of Computational Physics, April 2023, Elsevier

    Dr JUAN GALVIS

  6. A phase‐field porous media fracture model based on homogenization theory

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, October 2022, Wiley

    Dr JUAN GALVIS

  7. A note on averaging prediction accuracy, Green’s functions and other kernels

    Article • February 2022, Springer Science + Business Media

    Dr JUAN GALVIS

  8. Gait Patterns Coded as Riemannian Mean Covariances to Support Parkinson’s Disease Diagnosis

    Article • January 2022, Springer Science + Business Media

    Dr JUAN GALVIS

  9. Mathematical modelling of proton migration in Earth mantle

    Article • Mathematical Modelling of Natural Phenomena, January 2022, EDP Sciences

    Dr JUAN GALVIS

  10. On condition numbers of symmetric and nonsymmetric domain decomposition methods

    Article • Linear Algebra and its Applications, February 2021, Elsevier

    Dr JUAN GALVIS

  11. On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows

    Article • Multiscale Modeling and Simulation, January 2020, Society for Industrial & Applied Mathematics (SIAM)

    Dr JUAN GALVIS

  12. Numerical upscaling of the free boundary dam problem in multiscale high-contrast media

    Article • Journal of Computational and Applied Mathematics, September 2019, Elsevier

    Dr JUAN GALVIS

  13. A convergence analysis of Generalized Multiscale Finite Element Methods

    Article • Journal of Computational Physics, July 2019, Elsevier

    Dr JUAN GALVIS

  14. On polar actions invariant solutions of semi-linear equations on manifolds

    Article • Journal of Mathematical Analysis and Applications, March 2019, Elsevier

    Dr JUAN GALVIS

  15. A Monte Carlo approach to computing stiffness matrices arising in polynomial chaos approximations

    Article • Mathematics and Computers in Simulation, December 2018, Elsevier

    Dr JUAN GALVIS

  16. On high-order conservative finite element methods

    Article • Computers & Mathematics with Applications, December 2017, Elsevier

    Dr JUAN GALVIS

  17. A mass conservative Generalized Multiscale Finite Element Method applied to two-phase flow in heterogeneous porous media

    Article • Journal of Computational and Applied Mathematics, April 2016, Elsevier

    Dr JUAN GALVIS

  18. A generalized multiscale finite element method for the Brinkman equation

    Article • Journal of Computational and Applied Mathematics, May 2015, Elsevier

    Dr JUAN GALVIS

  19. A Deluxe FETI-DP Preconditioner for a Composite Finite Element and DG Method

    Article • Computational Methods in Applied Mathematics, January 2015, De Gruyter

    Dr JUAN GALVIS

  20. An iterative domain decomposition method for free boundary problems with nonlinear flux jump constraint

    Article • Computational and Applied Mathematics, August 2014, Springer Science + Business Media

    Dr JUAN GALVIS

  21. Spectral multiscale finite element for nonlinear flows in highly heterogeneous media: A reduced basis approach

    Article • Journal of Computational and Applied Mathematics, April 2014, Elsevier

    Dr JUAN GALVIS

  22. ASYMPTOTIC EXPANSIONS FOR HIGH-CONTRAST ELLIPTIC EQUATIONS

    Article • Mathematical Models and Methods in Applied Sciences, March 2014, World Scientific Pub Co Pte Lt

    Dr JUAN GALVIS

  23. Ensemble level multiscale finite element and preconditioner for channelized systems and applications

    Article • Journal of Computational and Applied Mathematics, January 2014, Elsevier

    Dr JUAN GALVIS

  24. Generalized multiscale finite element method. Symmetric interior penalty coupling

    Article • Journal of Computational Physics, December 2013, Elsevier

    Dr JUAN GALVIS

  25. Multiscale Finite Element Methods for Flows on Rough Surfaces

    Article • Communications in Computational Physics, October 2013, Global Science Press

    Dr JUAN GALVIS

  26. Generalized multiscale finite element methods (GMsFEM)

    Article • Journal of Computational Physics, October 2013, Elsevier

    Dr JUAN GALVIS

  27. Generalized Multiscale Finite Element Methods. Nonlinear Elliptic Equations

    Article • Communications in Computational Physics, January 2013, Global Science Press

    Dr JUAN GALVIS

  28. Multiscale Domain Decomposition Preconditioners for Anisotropic High-Contrast Problems

    Article • January 2013, Springer Science + Business Media

    Dr JUAN GALVIS, Professor Raytcho Lazarov

  29. A FETI-DP Preconditioner for a Composite Finite Element and Discontinuous Galerkin Method

    Article • SIAM Journal on Numerical Analysis, January 2013, Society for Industrial & Applied Mathematics (SIAM)

    Dr JUAN GALVIS

  30. A Systematic Coarse-Scale Model Reduction Technique for Parameter-Dependent Flows in Highly Heterogeneous Media and Its Applications

    Article • Multiscale Modeling and Simulation, October 2012, Society for Industrial & Applied Mathematics (SIAM)

    Dr JUAN GALVIS

  31. Local–global multiscale model reduction for flows in high-contrast heterogeneous media

    Article • Journal of Computational Physics, October 2012, Elsevier

    Dr JUAN GALVIS

  32. Robust Multiscale Iterative Solvers for Nonlinear Flows in Highly Heterogeneous Media

    Article • Numerical Mathematics Theory Methods and Applications, August 2012, Global Science Press

    Dr JUAN GALVIS

  33. Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms

    Article • ESAIM Mathematical Modelling and Numerical Analysis, February 2012, EDP Sciences

    Dr JUAN GALVIS, Professor Raytcho Lazarov

  34. Robust Two-level Domain Decomposition Preconditioners for High-contrast Anisotropic Flows in Multiscale Media

    Article • Computational Methods in Applied Mathematics, January 2012, De Gruyter

    Dr JUAN GALVIS, Professor Raytcho Lazarov

  35. Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincaré Inequalities

    Article • January 2012, Springer Science + Business Media

    Dr JUAN GALVIS, Professor Raytcho Lazarov

  36. Regularity Results for the Ordinary Product Stochastic Pressure Equation

    Article • SIAM Journal on Mathematical Analysis, January 2012, Society for Industrial & Applied Mathematics (SIAM)

    Dr JUAN GALVIS

  37. A note on variational multiscale methods for high-contrast heterogeneous porous media flows with rough source terms

    Article • Advances in Water Resources, September 2011, Elsevier

    Dr JUAN GALVIS

  38. Neumann‐Neumann methods for a DG discretization on geometrically nonconforming substructures

    Article • Numerical Methods for Partial Differential Equations, April 2011, Wiley

    Dr JUAN GALVIS

  39. Multiscale finite element methods for high-contrast problems using local spectral basis functions

    Article • Journal of Computational Physics, February 2011, Elsevier

    Dr JUAN GALVIS

  40. Spectral Element Agglomerate Algebraic Multigrid Methods for Elliptic Problems with High-Contrast Coefficients

    Article • October 2010, Springer Science + Business Media

    Dr JUAN GALVIS

  41. N–N Solvers for a DG Discretization for Geometrically Nonconforming Substructures and Discontinuous Coefficients

    Article • October 2010, Springer Science + Business Media

    Dr JUAN GALVIS

  42. FETI-DP for Stokes-Mortar-Darcy Systems

    Article • October 2010, Springer Science + Business Media

    Dr JUAN GALVIS

  43. A Domain Decomposition Preconditioner for Multiscale High-Contrast Problems

    Article • October 2010, Springer Science + Business Media

    Dr JUAN GALVIS

  44. Domain Decomposition Preconditioners for Multiscale Flows in High-Contrast Media

    Article • Multiscale Modeling and Simulation, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Dr JUAN GALVIS

  45. FETI and BDD preconditioners for Stokes–Mortar–Darcy Systems

    Article • Communications in Applied Mathematics and Computational Science, January 2010, Mathematical Sciences Publishers

    Dr JUAN GALVIS

  46. Domain Decomposition Preconditioners for Multiscale Flows in High Contrast Media: Reduced Dimension Coarse Spaces

    Article • Multiscale Modeling and Simulation, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Dr JUAN GALVIS

  47. Balancing Domain Decomposition Methods for Discontinuous Galerkin Discretization

    Article • January 2008, Springer Science + Business Media

    Dr JUAN GALVIS

  48. BDDC methods for discontinuous Galerkin discretization of elliptic problems

    Article • Journal of Complexity, August 2007, Elsevier

    Dr JUAN GALVIS

  49. Balancing Domain Decomposition Methods for Mortar Coupling Stokes-Darcy Systems

    Article • Springer Science + Business Media

    Dr JUAN GALVIS