Papers in journals
2022
Badia S., Droniou J., Yemm L., Conditioning of a hybrid high-order scheme on meshes with small faces, Journal of Scientific Computing, vol. 2, issue 92, 2022.
Badia S., Martorell P.A., Verdugo F., Geometrical discretisations for unfitted finite elements on explicit boundary representations, Journal of Computational Physics, vol. 460, 2022.
Badia S., Neiva E., Verdugo F., Linking ghost penalty and aggregated unfitted methods, Computer Methods in Applied Mechanics and Engineering, vol. 388, 2022.
Badia S., Neiva E., Verdugo F., Robust high-order unfitted finite elements by interpolation-based discrete extension, Computers and Mathematics with Applications, vol. 127, pp. 105-126, 2022.
Colomés O., Verdugo F., Akkerman I., A monolithic finite element formulation for the hydroelastic analysis of very large floating structures, International Journal for Numerical Methods in Engineering, vol. 124, issue 3, pp. 714-751, 2022.
Newberry F., Hampton J., Jansen K., Doostan A., Bi-fidelity reduced polynomial chaos expansion for uncertainty quantification, Computational Mechanics, vol. 69, issue 2, pp. 405-424, 2022.
Verdugo F., Badia S., The software design of Gridap: A Finite Element package based on the Julia JIT compiler, Computer Physics Communications, vol. 276, 2022.
Yao W., Verdugo F., Christiansen R.E., Johnson S.G., Trace formulation for photonic inverse design with incoherent sources, Structural and Multidisciplinary Optimization, vol. 65, issue 11, 2022.
2021
Badia, S., Caicedo, M., Martín, F., Principe, J., A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics, Computer Methods in Applied Mechanics and Engineering, Vol. 386, 23 p., art. n. 114093, 2021.
Badia, S., Hampton, J., Principe, J., Embedded multilevel monte carlo for uncertainty quantification in random domains, International Journal for Uncertainty Quantification, Vol. 11 (1), pp. 119-142, 2021.
Badia, S., Martín, F., Neiva, E., Verdugo, F., The aggregated unfitted finite element method on parallel tree-based adaptive meshes, SIAM Journal on Scientific Computing, Vol. 43 (3), pp. C203-234, 2021.
Nieva, E., Badia, S., Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems, Computer Methods in Applied Mechanics and Engineering,Vol. 380, art. n. 113769, 2021.
2020
Badia, S., Bonilla, J., Mabuza, S., Shadid, J., On differentiable local bounds preserving stabilization for Euler equations, Computer Methods in Applied Mechanics and Engineering, Vol. 370, art. n. 113267, 2020.
Badia, S., Martín, A., A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0, Computer Physics Communications, Vol. 248, art. n. 107059, 2020.
Badia, S., Martín, A., Neiva, E., Verdugo, F., A generic finite element framework on parallel tree-based adaptive meshes, SIAM Journal on Scientific Computing, Vol. 42 (6), pp. C436-C468, 2020.
Badia, S., Verdugo, F., Gridap: An extensible Finite Element toolbox in Julia, Journal of Open Source Software, Vol. 5 (52), art. n. 2520, 2020.
Bonilla, J., Badia, S., Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems, Journal of Computational Physics, Vol. 416, art. n. 109522, 2020.
Neiva, E., Chiumenti, M., Cervera, M., Salsi, E., Piscopo, G., Badia, S., Martín, A. F., Chen, Z., Lee, C., and Davies, C. Numerical modelling of heat transfer and experimental validation in powder-bed fusion with the virtual domain approximation. Finite Elements in Analysis and Design Vol. 168, p. 103343, 2020
2019
Badia, S., Martín, A. F., and Nguyen, H. Physics-Based Balancing Domain Decomposition by Constraints for Multi-Material Problems Journal of Scientific Computing Vol. 79, pp. 718-747, 2019
Badia, S., Martín, A. F., and Nguyen, H. Balancing domain decomposition by constraints associated with subobjects validation Applied Mathematics Letters Vol. 87, pp. 93-100, 2019
Badia, S., Martín, A. F., and Olm, M. Scalable solvers for complex electromagnetics problems. Finite Elements in Analysis and Design Vol. 161, pp. 16-31, 2019
Bonilla, J. , Badia, S. Maximum-principle preserving space–time isogeometric analysis Computer Methods in Applied Mechanics and Engineering Vol. 354, pp. 422-440, 2019
Neiva, E., Badia, S., Martín, A. F., and Chiumenti, M. A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing. International Journal for Numerical Methods in Engineering Vol. 119, pp. 1098-1125, 2019
Olm, M., Badia, S., and Martín, A. F. On a general implementation of h- and p-adaptive curl-conforming finite elements Advances in Engineering Software Vol. 132, pp. 74-91, 2019
Olm, M., Badia, S., and Martín, A. F. Simulation of High Temperature Superconductors and experimental validation Computer Physics Communications Vol. 237, pp. 154-167, 2019
Verdugo, F., Martín, A. F., and Badia, S. Distributed-memory parallelization of the aggregated unfitted finite element method. Computer Methods in Applied Mechanics and Engineering Vol. 357, p. 112583, 2019
2018
Badia, S., Martín, A. F., Principe, J. FEMPAR: An Object-Oriented Parallel Finite Element Framework, Archives of Computational Methods in Engineering Vol. 25, No. 2, pp. 195–271 2018
Badia, S., Martin, A. F., Verdugo, F. Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem, SIAM Journal on Scientific Computing Vol. 40, No. 6, pp. B1541-B1576, 2018
Badia, S., and Olm, M. Nonlinear parallel-in-time Schur complement solvers for ordinary differential equations, Journal of Computational and Applied Mathematics Vol. 344, pp. 794–806, 2018
Badia, S., Verdugo, F. Robust and scalable domain decomposition solvers for unfitted finite element methods, Journal of Computational and Applied Mathematics Vol. 344, pp. 740-759, 2018
Badia, S., Verdugo, F., and Martín, A. F. The aggregated unfitted finite element method for elliptic problems, Computer Methods in Applied Mechanics and Engineering Vol. 336, pp. 533–553 2018
Calo, V., Badia, S., Principe, J. Editorial: Algorithmic Aspects of High-Performance Computing for Mechanics and Physics Journal of Computational and Applied Mathematics Vol. 344, pp. 739, 2018
2017
Badia, S., Bonilla, J. Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization, Computer Methods in Applied Mechanics and Engineering, vol. 313, 133 - 158, 2017.
Badia, S., Bonilla, J., Hierro, A.Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes,Computer Methods in Applied Mechanics and Engineering, vol. 320, 582 - 605, 2017.
Badia, S., Gutiérrez-Santacreu, J.V. Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling, Journal of Scientific Computing, vol. 71(1), 386 - 413, 2017.
Badia, S., Olm, M. Space-time balancing domain decomposition, SIAM Journal on Scientific Computing, vol. 39(2), C194 - C213, 2017.
Colomés, O., Badia, S. 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, vol. 313, 189 - 215, 2017.
Hernández, J.A., Caicedo, M.A., Ferrer, A. Dimensional hyper-reduction of nonlinear finite element models via empirical cubature, Computer Methods in Applied Mechanics and Engineering, vol. 313, 687 - 722, 2017.
Oliver, J., Caicedo, M., Huespe, A.E., Hernández, J.A., Roubin, E. Reduced order modeling strategies for computational multiscale fracture, Computer Methods in Applied Mechanics and Engineering, vol. 313, 560 - 595, 2017.
Verdugo, F., Roth, C.J., Yoshihara, L., Wall, W.A. Efficient solvers for coupled models in respiratory mechanics, International Journal for Numerical Methods in Biomedical Engineering, vol. 33(2), 2017.
2016
Badia, S.; Gutiérrez-Santacreu, J.V.; Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling, Journal of Scientific Computing, 1-28, 2016.
Badia, S.; Martín, A. F.; Príncipe, J.; Multilevel balancing domain decomposition at extreme scales, SIAM Journal on Scientific Computing, vol.38(1), C22-C52, 2016.
Badia, S.; Nguyen, H.; Balancing domain decomposition by constraints and perturbation, SIAM Journal on Numerical Analysis, vol.54(6), 3436-3464, 2016.
Colomés, O.; Badia, S.; Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations, International Journal for Numerical Methods in Engineering, vol.105(5), 372-400, 2016.
Colomés, O.; Badia, S.; Príncipe, J.; Mixed finite element methods with convection stabilization for the large eddy simulation of incompressible turbulent flows, Computer Methods in Applied Mechanics and Engineering, vol.304, 294-318, 2016.
Hierro, A.; Badia, S.; Kus, P.; Shock capturing techniques for hp-adaptive finite elements, Computer Methods in Applied Mechanics and Engineering, vol.309, 532-553, 2016.
Yang, L.; Badia, S.; Codina, R.; A pseudo-compressible variational multiscale solver for turbulent incompressible flows, Computational Mechanics, vol.58(6), 1051-1069, 2016.
2014
Avila, M.; Codina, R.; Príncipe, J.; Large eddy simulation of low Mach number flows using dynamic and orthogonal subgrid scales, , Computers & Fluids, Vol. 99(0), pp. 44-66, 2014.
Badia, S.; Codina, R.; Planas, R.; Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics, Submited.
Badia, S.; Hierra, A.; On monotonicity-preserving stabilized finite element approximations of transport problems , Submited.
Badia, S.; Codina, R.; Gudi, T.; Guzmán, J.; Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity, IMA Journal of Numerical Analysis, Vol. 34(2), pp. 800-819, 2014.
Badia, S.; Martín, A.; Príncipe, J.; A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints, SIAM Journal on Scientific Computing.,Vol. 36(2), pp. C190-C218, 2014.
Badia, S.; Martín, A.; Planas, R.; Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problems Journal of Computational Physics,
Badia, S.; Codina, R.; Espinoza, H.; Stability, convergence and accuracy of stabilized finite element methods for the wave equation in mixed form, SIAM Journal on Numerical Analysis. Vol. In press, 2014.
Codina, R.;, Príncipe, J.; Muñoz, C.; Numerical modeling of chlorine concentration in water storage tanks, Submited,2014.
Colomés, O.; Badia, S.; Codina, R.; Príncipe, J.; Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows, Submited, 2014.
Espinoza, H.; Codina, R.; Badia, S.; A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form, Computer Methods in Applied Mechanics and Engineering, Vol. 276, pp. 122-148, 2014.
Martin, A. F.; Reyes, R.; Badia, S.; Quintana-Ort, E. S.; Leveraging task-parallelism in message-passing dense matrix factorizations using SMPSs,Parallel Computing., Vol. 40(5-6), pp. 113-128, 2014.
Smolentsev, S.; Badia, S.; Bhattacharyay, R.; Bühler, L.; Chen, L.; Huang, Q.; Jin, H. G.; Krasnov, D.; Lee, D. W.; De les Valls, E. M.; Mistrangelo, C.; Munipalli, R.; Ni, M. J.; Pashkevich, D.; Patel, A.; Pulugundla, G.; Satyamurthy, P.; Snegirev, A.; Sviridov, V.; Swain, P.; Zhou, T.; Zikanov, O.; An approach to verification and validation of MHD codes for fusion applications, Fusion Engineering and Design, Vol. In press, 2014
2013
Badia, S.; Baiges, J.; Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations,SIAM Journal on Scientific Computing,Vol. 35(1), pp. A491-A516.
Badia, S.; Codina, R.; and Planas, R.; On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics,Journal of Computational Physics.,Vol. 234(0), pp. 399-416, 2013.
Badia, S.; Gutiérrez-Santacreu, J. V.; Convergence towards weak solutions of the Navier--Stokes equations for a finite element approximation with numerical subgrid-scale modelling, IMA Journal of Numerical Analysis, pp. drt023, 2013.
Badia, S.; Martín, A. F.; Príncipe, J.; Enhanced balancing Neumann-Neumann preconditioning in computational fluid and solid mechanics, International Journal for Numerical Methods in Engineering,Vol. 96(4), pp. 203-230, 2013.
Badia, S.; Martín, A. F.; Príncipe, J.; Implementation and Scalability Analysis of Balancing Domain Decomposition Methods, Archives of Computational Methods in Engineering, Vol. 20(3), pp. 239-262, 2013.
Badia, S.; Planas, R.; Gutiérrez-Santacreu, J. V.; 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, Vol. 93(3), pp. 302-328, 2013.
Codina, R.; Badia, S.; On the design of discontinuous Galerkin methods for elliptic problems based on hybrid formulations, Computer Methods in Applied Mechanics and Engineering, Vol. 263, pp. 158-168, 2013.
2012
Badia, S.; On stabilized finite element methods based on the Scott--Zhang projector. Circumventing the sup condition for the Stokes problem, Computer Methods in Applied Mechanics and Engineering,Vol. 247-248(0), pp. 65-72, 2012.
Badia, S.; Codina, R.; A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions, SIAM Journal on Numerical Analysis, Vol. 50(2), pp. 398-417, 2012.
Badia, S.; Codina, R.; Stokes, Maxwell and Darcy: A single finite element approximation for three model problems, Applied Numerical Mathematics, Vol. 62(4), pp. 246-263, 2012.
2011
Aliaga, J. I.; Bollhöfer, M.;, Martin, A. F.; Quintana-Ort, E. S.; Exploiting thread-level parallelism in the iterative solution of sparse linear systems, Parallel Computing, Vol. 37(3), pp. 183-202, 2011.
Avila, M.; Codina, R.; Príncipe, J.; Spatial approximation of the radiation transport equation using a subgrid-scale finite element method, Computer Methods in Applied Mechanics and Engineering, Vol. 200 (5-8), pp. 425 – 438, 2011.
Avila, M.; Príncipe, J.; Codina, R.; A finite element dynamical nonlinear subscale approximation for the low Mach number flow equations, Journal of Computational Physics,Vol. 230(10-11), pp. 7988-8009, 2011.
Badia, S.; Codina, R.; A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem, Applied Mathematics and Computation, Vol. 218(8), pp. 4276-4294, 2011.
Badia, S.; Guillén-González, F.; Gutiérrez-Santacreu, J. V.; Finite element approximation of nematic liquid crystal flows using a saddle-point structure, Journal of Computational Physics., Vol. 230(4), pp. 1686-1706, 2011
Badia, S.; Guillén-González, F.; Gutiérrez-Santacreu, J.; An Overview on Numerical Analyses of Nematic Liquid Crystal Flows, Archives of Computational Methods in Engineering, Vol. 18(3), pp. 285-313, 2011
Bollhöfer, M.; Aliaga, J. I.; Martin, A. F.; Quintana-Ort, E. S.; "ILUPACK", In Encyclopedia of Parallel Computing, pp. 917-926. Springer US, 2011.
Planas, R.; Badia, S.; Codina, R.; Approximation of the inductionless MHD problem using a stabilized finite element method, Journal of Computational Physics, Vol. 230(8), pp. 2977-2996, 2011.
Schrefler, B. A.; Codina, R.; Pesavento, F.; Príncipe, J.; Thermal coupling of fluid and structural response of a tunnel induced by fire, International Journal for Numerical Methods in Engineering, Vol. 87, pp. 361-385, 2011.
2010
Badia, S.; Codina, R.; Stabilized continuous and discontinuous Galerkin techniques for Darcy flow, Computer Methods in Applied Mechanics and Engineering, Vol. 199 (25-28), pp. 1654-1667, 2010.
Badia, S.; Codina, R.; Gutierrez-Santacreu, J.V.; 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, Vol. 48(3), pp. 1013, 2010.
Codina, R.; Príncipe, J.; Avila, M.; Finite element approximation of turbulent thermally coupled incompressible flows with numerical sub-grid scale modelling, International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 20, pp. 492-516, 2010.
Príncipe, J.; Codina, R.; On the stabilization parameter in the subgrid scale approximation of scalar convection-diffusion-reaction equations on distorted meshes, Computer Methods in Applied Mechanics and Engineering, Vol. 199 (21/22), pp. 1386-1402, 2010.
Principe J, Codina, R.; Henke, F.; The dissipative structure of variational multiscale methods for incompressible flows, Computer Methods in Applied Mechanics and Engineering, Vol. 199, pp. 791-801, 2010.
2009
Badia, S.; Codina, R.; On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space-time discretization, Applied Mathematics and Computation, Vol. 207(2), pp. 415-433, 2009.
Badia, S.; Codina, R.; Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems, SIAM Journal on Numerical Analysis, Vol. 47(3), pp. 1971-2000, 2009.
Badia, S.; Nobile, F.; Vergara, C.; Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems, Computer Methods in Applied Mechanics and Engineering,Vol. 198(33-36), pp. 2768-2784, 2009.
Badia, S.; Quaini, A.; Quarteroni, A.; Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction, Journal of Computational Physics,Vol. 228 (21), pp. 7986-8014.
Codina, R.; Príncipe, J.; Baiges, J.; Subscales on the element boundaries in the variational two-scale finite element method, Computer Methods in Applied Mechanics and Engineering, Vol. 198(5-8), pp. 838-852, 2009.
Príncipe, J.; Codina, R.; Mathematical models for thermally coupled low speed flows, Advances in Theoretical and Applied Mechanics. Vol. 2 (1-4), pp. 93-112, 2009.
Príncipe, J.; Codina, R.; A numerical approximation of the thermal coupling of fluids and solids, International Journal for Numerical Methods in Fluids, Vol. 59, pp. 1181-1201, 2009.
2008
Badia, S.; Codina, R.; Algebraic Pressure Segregation Methods for the Incompressible Navier-Stokes Equations, Archives of Computational Methods in Engineering, Vol. 15(3), pp. 343-369, 2008.
Badia, S.; Codina, R.; Pressure segregation methods based on a discrete pressure Poisson equation. An algebraic approach, International Journal for Numerical Methods in Fluids, Vol. 56(4), pp. 351-382, 2008.
Badia, S.; Nobile, F.; Vergara, C.; Fluid-structure partitioned procedures based on Robin transmission conditions, Journal of Computational Physics,Vol. 227 (14), pp. 7027-7051, 2008.
Badia, S.; Parks, M.; Bochev, P.; Gunzburger, M.; Lehoucq, R.; On Atomistic-to-Continuum Coupling by Blending, Multiscale Modeling & Simulation, Vol. 7(1), pp. 381, 2008.
Badia, S.; Quaini, A.; Quarteroni, A.; Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect, Computer Methods in Applied Mechanics and Engineering, September, Vol. 197(49-50), pp. 4216-4232, 2008.
Badia, S.; Quaini, A.; Quarteroni, A.; Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction, SIAM Journal on Scientific Computing, Vol. 30(4), pp. 1778, 2008.
Codina, R.; González-Ondina, J.M.; Díaz-Hernández, G.; Príncipe, J.; Finite element approximation of the modified Boussinesq equations using a stabilized formulation, International Journal for Numerical Methods in Fluids. Vol. 57(9), pp. 1249-1268, 2008.
Houzeaux, G.; Príncipe, J.; A variational subgrid scale model for transient incompressible flows, International Journal of Computational Fluid Dynamics. Vol. 22, pp. 135-152, 2008
Príncipe, J.; Codina, R.; A stabilized finite element approximation of low speed thermally coupled flows, International Journal of Numerical Methods for Heat and Fluid Flow, Vol. 18(7/8), pp. 835-867, 2008.
2007
Badia, S.; Bochev, P.; Lehoucq, R.; Parks, M.; Fish, J.; Nuggehally, M. A.; Gunzburger, M.; A Force-Based Blending Model for Atomistic-to-Continuum Coupling, International Journal for Multiscale Computational Engineering, Vol. 5 (5), pp. 387-406, 2007.
Badia, S.; Codina, R.; Convergence analysis of the FEM approximation of the first order projection method for incompressible flows with and without the inf-sup condition, Numerische Mathematik, Vol. 107(4), pp. 533-557, 2007.
Badia, S.; Codina, R.; On some fluid--structure iterative algorithms using pressure segregation methods. Application to aeroelasticity, International Journal for Numerical Methods in Engineering, Vol. 72(1), pp. 46-71, 2007.
Codina, R.; Príncipe, J; Dynamic subscales in the finite element approximation of thermally coupled incompressible flows, International Journal for Numerical Methods in Fluids. Vol. 54(6-8), pp. 707-730, 2007
Codina, R.; Príncipe, J.; Guasch, O.; Badia, S.; Time dependent subscales in the stabilized finite element approximation of incompressible flow problems, Computer Methods in Applied Mechanics and Engineering, Vol. 196 (21-24), pp. 2413-2430, 2007.
Fish, J.; Nuggehally, M. A.; Shephard, M. S.; Picu, C. R.; Badia, S.; Parks, M.; Gunzburger, M.; Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force, Computer Methods in Applied Mechanics and Engineering, Vol. 196(45-48), pp. 4548-4560, 2007.
2006
Badia, S.; Codina, R.; Analysis of a Stabilized Finite Element Approximation of the Transient Convection-Diffusion Equation Using an ALE Framework, SIAM Journal on Numerical Analysis, Vol. 44(5), pp. 2159, 2006.