### Preprints

- Marc Olm, Santiago Badia and Alberto F. Martín. On a general implementation of h- and p-adaptive curl-conforming finite elements. (2018).

[ArXiv] - Eric Neiva, Santiago Badia, Alberto F. Martín and Michele Chiumenti. A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing. (2018).

[ArXiv] - Marc Olm, Santiago Badia and Alberto F. Martín. Simulation of high temperature superconductors and experimental validation.
*arXiv:1707.09783 [physics]*, (2017).

[ArXiv]

### Journal articles

- Santiago Badia, Alberto F. Martín and Hieu Nguyen. Balancing domain decomposition by constraints associated with subobjects.
*Applied Mathematics Letters 87*, (2019), 93–100.

[DOI] - Santiago Badia, Alberto F Martín and Hieu Nguyen. Physics-based balancing domain decomposition by constraints for multi-material problems.
*Journal of Scientific Computing in press*, (2018).

[HAL] - Santiago Badia, Alberto F. Martín and Francesc Verdugo. Mixed aggregated finite element methods for the unfitted discretization of the Stokes problem.
*SIAM Journal on Scientific Computing in press*, (2018).

[ArXiv] - Victor Calo, Santiago Badia and Javier Principe. Editorial: Algorithmic Aspects of High-Performance Computing for Mechanics and Physics.
*Journal of Computational and Applied Mathematics 344*, (2018), 739.

[DOI] - Santiago Badia and Marc Olm. Nonlinear parallel-in-time Schur complement solvers for ordinary differential equations.
*Journal of Computational and Applied Mathematics 344*, (2018), 794–806.

[DOI] [ArXiv] - Santiago Badia and Francesc Verdugo. Robust and scalable domain decomposition solvers for unfitted finite element methods.
*Journal of Computational and Applied Mathematics 344*, (2018), 740–759.

[DOI] [ArXiv] - Santiago Badia, Francesc Verdugo and Alberto F. Martín. The aggregated unfitted finite element method for elliptic problems.
*Computer Methods in Applied Mechanics and Engineering 336*, (2018), 533–553.

[DOI] [ArXiv] - Santiago Badia, Alberto F. Martín and Javier Principe. FEMPAR: An Object-Oriented Parallel Finite Element Framework.
*Archives of Computational Methods in Engineering 25*, 2 (2018), 195–271.

[DOI] [ArXiv] - Michele Chiumenti, Eric Neiva, Emilio Salsi, Miguel Cervera, Santiago Badia, Joan Moya, Zhuoer Chen, Caroline Lee and Christopher Davies. Numerical modelling and experimental validation in Selective Laser Melting.
*Additive Manufacturing 18*, Supplement C (2017), 171–185.

[DOI] - 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] - 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] - 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] - S. Badia and M. Olm. Space-Time Balancing Domain Decomposition.
*SIAM Journal on Scientific Computing 39*, 2 (2017), C194–C213.

[DOI] [ArXiv] - 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] - S. Badia and H. Nguyen. Balancing Domain Decomposition by Constraints and Perturbation.
*SIAM Journal on Numerical Analysis 54*, 6 (2016), 3436–3464.

[DOI] [ArXiv] - S. Badia, A. Martín and J. Principe. Multilevel Balancing Domain Decomposition at Extreme Scales.
*SIAM Journal on Scientific Computing*, (2016), C22–C52.

[DOI] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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.

- 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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] - 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]