Publications

Preprints

  1. Michele Chiumenti, Eric Neiva, Emilio Salsi, Miguel Cervera, Santiago Badia, Christopher Davies, Zhuoer Chen and Caroline Lee. Numerical modelling and experimental validation in selective laser melting. Submitted, (2017).
    [Preprint]
  2. Santiago Badia and Francesc Verdugo. Robust and scalable domain decomposition solvers for unfitted finite element methods. arXiv:1703.06323 [math], (2017).
    [ArXiv]
  3. Santiago Badia and Marc Olm. Nonlinear parallel-in-time multilevel Schur complement solvers for ordinary differential equations. arXiv:1703.08466 [math], (2017).
    [ArXiv]
  4. Santiago Badia, Alberto F Martín and Hieu Nguyen. Physics-based balancing domain decomposition by constraints for heterogeneous problems. hal-01337968, (2016).
    [HAL]

Journal articles

  1. Santiago Badia and Juan Vicente Gutiérrez-Santacreu. Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling. Journal of Scientific Computing 71, 1 (2017), 386–413.
    [DOI] [ArXiv]
  2. Santiago Badia, Jesús Bonilla and Alba Hierro. Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes. Computer Methods in Applied Mechanics and Engineering 320, (2017), 582–605.
    [DOI] [ArXiv]
  3. Santiago Badia and Jesús Bonilla. Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization. Computer Methods in Applied Mechanics and Engineering 313, (2017), 133–158.
    [DOI] [ArXiv]
  4. S. Badia and M. Olm. Space-Time Balancing Domain Decomposition. SIAM Journal on Scientific Computing 39, 2 (2017), C194–C213.
    [DOI] [ArXiv]
  5. Oriol Colomés and Santiago Badia. Segregated Runge–Kutta time integration of convection-stabilized mixed finite element schemes for wall-unresolved LES of incompressible flows. Computer Methods in Applied Mechanics and Engineering 313, (2017), 189–215.
    [DOI]
  6. S. Badia and H. Nguyen. Balancing Domain Decomposition by Constraints and Perturbation. SIAM Journal on Numerical Analysis 54, 6 (2016), 3436–3464.
    [DOI] [ArXiv]
  7. S. Badia, A. Martín and J. Principe. Multilevel Balancing Domain Decomposition at Extreme Scales. SIAM Journal on Scientific Computing, (2016), C22–C52.
    [DOI]
  8. Oriol Colomés, Santiago Badia and Javier Principe. Mixed finite element methods with convection stabilization for the large eddy simulation of incompressible turbulent flows. Computer Methods in Applied Mechanics and Engineering 304, (2016), 294–318.
    [DOI]
  9. Oriol Colomés and Santiago Badia. Segregated Runge–Kutta methods for the incompressible Navier–Stokes equations. International Journal for Numerical Methods in Engineering 105, 5 (2016), 372–400.
    [DOI]
  10. Alba Hierro, Santiago Badia and Pavel Kus. Shock capturing techniques for -adaptive finite elements. Computer Methods in Applied Mechanics and Engineering 309, (2016), 532–553.
    [DOI]
  11. Liang Yang, Santiago Badia and Ramon Codina. A pseudo-compressible variational multiscale solver for turbulent incompressible flows. Computational Mechanics 58, 6 (2016), 1051–1069.
    [DOI]
  12. Santiago Badia, Ramon Codina and Ramon Planas. Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics. Archives of Computational Methods in Engineering 22, 4 (2015), 621–636.
    [DOI]
  13. Santiago Badia and Alba Hierro. On discrete maximum principles for discontinuous Galerkin methods. Computer Methods in Applied Mechanics and Engineering 286, (2015), 107–122.
    [DOI]
  14. Santiago Badia, Alberto F. Martín and Javier Principe. On the scalability of inexact balancing domain decomposition by constraints with overlapped coarse/fine corrections. Parallel Computing 50, (2015), 1–24.
    [DOI]
  15. Oriol Colomés, Santiago Badia, Ramon Codina and Javier Principe. Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows. Computer Methods in Applied Mechanics and Engineering 285, (2015), 32–63.
    [DOI]
  16. Hector Espinoza, Ramon Codina and Santiago Badia. On some time marching schemes for the stabilized finite element approximation of the mixed wave equation. Computer Methods in Applied Mechanics and Engineering 296, (2015), 295–326.
    [DOI]
  17. S. Smolentsev, S. Badia, R. Bhattacharyay, L. Bühler, L. Chen, Q. Huang, H.-G. Jin, D. Krasnov, D.-W. Lee, E. Mas de les Valls, C. Mistrangelo, R. Munipalli, M.-J. Ni, D. Pashkevich, A. Patel, G. Pulugundla, P. Satyamurthy, A. Snegirev, V. Sviridov, P. Swain, T. Zhou and O. Zikanov. An approach to verification and validation of MHD codes for fusion applications. Fusion Engineering and Design 100, (2015), 65–72.
    [DOI]
  18. Santiago Badia, Alberto F. Martín and Ramon Planas. Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem. Journal of Computational Physics 274, (2014), 562–591.
    [DOI]
  19. Santiago Badia and Juan Vicente Gutiérrez-Santacreu. Convergence towards weak solutions of the Navier–Stokes equations for a finite element approximation with numerical subgrid-scale modelling. IMA Journal of Numerical Analysis 34, 3 (2014), 1193–1221.
    [DOI]
  20. S. Badia, R. Codina, T. Gudi and J. Guzmán. Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity. IMA Journal of Numerical Analysis 34, 2 (2014), 800–819.
    [DOI]
  21. S. Badia, A. Martín and J. Principe. A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints. SIAM Journal on Scientific Computing 36, 2 (2014), C190–C218.
    [DOI]
  22. Santiago Badia and Alba Hierro. On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems. SIAM Journal on Scientific Computing 36, 6 (2014), A2673–A2697.
    [DOI]
  23. S. Badia, R. Codina and H. Espinoza. Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form. SIAM Journal on Numerical Analysis 52, 4 (2014), 1729–1752.
    [DOI]
  24. Hector Espinoza, Ramon Codina and Santiago Badia. A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form. Computer Methods in Applied Mechanics and Engineering 276, (2014), 122–148.
    [DOI]
  25. S. Badia and J. Baiges. Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations. SIAM Journal on Scientific Computing 35, 1 (2013), A491–A516.
    [DOI]
  26. Santiago Badia, Alberto F. Martín and Javier Príncipe. Enhanced balancing Neumann–Neumann preconditioning in computational fluid and solid mechanics. International Journal for Numerical Methods in Engineering 96, 4 (2013), 203–230.
  27. Santiago Badia, Alberto F. Martín and Javier Principe. Implementation and Scalability Analysis of Balancing Domain Decomposition Methods. Archives of Computational Methods in Engineering 20, 3 (2013), 239–262.
    [DOI]
  28. Santiago Badia, Ramon Codina and Ramon Planas. On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics. Journal of Computational Physics 234, 0 (2013), 399–416.
    [DOI]
  29. Santiago Badia, Ramon Planas and Juan Vicente Gutiérrez-Santacreu. Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections. International Journal for Numerical Methods in Engineering 93, 3 (2013), 302–328.
    [DOI]
  30. Ramon Codina and Santiago Badia. On the design of discontinuous Galerkin methods for elliptic problems based on hybrid formulations. Computer Methods in Applied Mechanics and Engineering 263, (2013), 158–168.
    [DOI]
  31. Santiago Badia and Ramon Codina. A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions. SIAM Journal on Numerical Analysis 50, 2 (2012), 398–417.
    [DOI]
  32. Santiago Badia. On stabilized finite element methods based on the Scott–Zhang projector. Circumventing the inf–sup condition for the Stokes problem. Computer Methods in Applied Mechanics and Engineering 247–248, 0 (2012), 65–72.
    [DOI]
  33. Santiago Badia and Ramon Codina. Stokes, Maxwell and Darcy: A single finite element approximation for three model problems. Applied Numerical Mathematics 62, 4 (2012), 246–263.
    [DOI]
  34. Santiago Badia and Ramon Codina. A combined nodal continuous–discontinuous finite element formulation for the Maxwell problem. Applied Mathematics and Computation 218, 8 (2011), 4276–4294.
    [DOI]
  35. Santiago Badia, Francisco Guillén-González and Juan Vicente Gutiérrez-Santacreu. Finite element approximation of nematic liquid crystal flows using a saddle-point structure. Journal of Computational Physics 230, 4 (2011), 1686–1706.
    [DOI]
  36. S. Badia, F. Guillén-Gónzalez and J. V. Gutiérrez-Santacreu. An Overview on Numerical Analyses of Nematic Liquid Crystal Flows. Archives of Computational Methods in Engineering 18, 3 (2011), 285–313.
    [DOI]
  37. Ramon Planas, Santiago Badia and Ramon Codina. Approximation of the inductionless MHD problem using a stabilized finite element method. Journal of Computational Physics 230, 8 (2011), 2977–2996.
    [DOI]
  38. Santiago Badia, Ramon Codina and Juan Vicente Gutierrez-Santacreu. Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling. SIAM Journal on Numerical Analysis 48, 3 (2010), 1013.
    [DOI]
  39. Santiago Badia and Ramon Codina. Stabilized continuous and discontinuous Galerkin techniques for Darcy flow. Computer Methods in Applied Mechanics and Engineering 199, 25–28 (2010), 1654–1667.
    [DOI]
  40. Santiago Badia, Annalisa Quaini and Alfio Quarteroni. Coupling Biot and Navier–Stokes equations for modelling fluid–poroelastic media interaction. Journal of Computational Physics 228, 21 (2009), 7986–8014.
    [DOI]
  41. Santiago Badia and Ramon Codina. On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space–time discretization. Applied Mathematics and Computation 207, 2 (2009), 415–433.
    [DOI]
  42. Santiago Badia, Fabio Nobile and Christian Vergara. Robin–Robin preconditioned Krylov methods for fluid–structure interaction problems. Computer Methods in Applied Mechanics and Engineering 198, 33–36 (2009), 2768–2784.
    [DOI]
  43. Santiago Badia and Ramon Codina. Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems. SIAM Journal on Numerical Analysis 47, 3 (2009), 1971–2000.
    [DOI]
  44. S. Badia and R. Codina. Algebraic Pressure Segregation Methods for the Incompressible Navier-Stokes Equations. Archives of Computational Methods in Engineering 15, 3 (2008), 343–369.
    [DOI]
  45. Santiago Badia, Michael Parks, Pavel Bochev, Max Gunzburger and Richard Lehoucq. On Atomistic-to-Continuum Coupling by Blending. Multiscale Modeling & Simulation 7, 1 (2008), 381.
    [DOI]
  46. Santiago Badia, Fabio Nobile and Christian Vergara. Fluid–structure partitioned procedures based on Robin transmission conditions. Journal of Computational Physics 227, 14 (2008), 7027–7051.
    [DOI]
  47. Santiago Badia, Annalisa Quaini and Alfio Quarteroni. Modular vs. non-modular preconditioners for fluid–structure systems with large added-mass effect. Computer Methods in Applied Mechanics and Engineering 197, 49–50 (2008), 4216–4232.
    [DOI]
  48. Santiago Badia and Ramon Codina. Pressure segregation methods based on a discrete pressure Poisson equation. An algebraic approach. International Journal for Numerical Methods in Fluids 56, 4 (2008), 351–382.
    [DOI]
  49. Santiago Badia, Annalisa Quaini and Alfio Quarteroni. Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction. SIAM Journal on Scientific Computing 30, 4 (2008), 1778.
    [DOI]
  50. Santiago Badia and Ramon Codina. Convergence analysis of the FEM approximation of the first order projection method for incompressible flows with and without the inf-sup condition. Numerische Mathematik 107, 4 (2007), 533–557.
    [DOI]
  51. Santiago Badia and Ramon Codina. On some fluid–structure iterative algorithms using pressure segregation methods. Application to aeroelasticity. International Journal for Numerical Methods in Engineering 72, 1 (2007), 46–71.
    [DOI]
  52. S. Badia, P. Bochev, R. Lehoucq, M. L. Parks, Jacob Fish, Mohan A. Nuggehally and M. Gunzburger. A Force-Based Blending Model for Atomistic-to-Continuum Coupling. International Journal for Multiscale Computational Engineering 5, 5 (2007), 387–406.
    [DOI]
  53. Ramon Codina, Javier Principe, Oriol Guasch and Santiago Badia. Time dependent subscales in the stabilized finite element approximation of incompressible flow problems. Computer Methods in Applied Mechanics and Engineering 196, 21–24 (2007), 2413–2430.
    [DOI]
  54. Jacob Fish, Mohan A. Nuggehally, Mark S. Shephard, Catalin R. Picu, Santiago Badia, Michael L. Parks and Max Gunzburger. Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force. Computer Methods in Applied Mechanics and Engineering 196, 45–48 (2007), 4548–4560.
    [DOI]
  55. Santiago Badia and Ramon Codina. Analysis of a Stabilized Finite Element Approximation of the Transient Convection-Diffusion Equation Using an ALE Framework. SIAM Journal on Numerical Analysis 44, 5 (2006), 2159.
    [DOI]
  56. Ramon Codina and Santiago Badia. On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems. Computer Methods in Applied Mechanics and Engineering 195, 23–24 (2006), 2900–2918.
    [DOI]