Friday, January 19, 2018
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Research
AREAS & GROUPSLarge Scale Scientific Computing Group
Papers in Journals
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.

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.

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.

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.

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.

Badia S and Hierro A (2014), On monotonicity-preserving stabilized finite element approximations of transport problems , Submited.
Badia S, Codina R and Planas R (2014), Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics , Submited.
Codina R, Principe J and Muñoz C (2014), Numerical modeling of chlorine concentration in water storage tanks , Submited.
Colomés O, Badia S, Codina R and Principe J (2014), Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows , Submited.
Avila M, Codina R and Principe J (2014), Large eddy simulation of low Mach number flows using dynamic and orthogonal subgrid scales , Computers & Fluids. Vol. 99(0), pp. 44 - 66.
Badia S, Codina R, Gudi T and Guzmán J (2014), Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity" , IMA Journal of Numerical Analysis, April, 2014. Vol. 34(2), pp. 800-819.
Badia S, Martín A and Principe J (2014), A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints" , SIAM Journal on Scientific Computing., January, 2014. Vol. 36(2), pp. C190-C218.
Badia S, Martín A and Planas R (2014), Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problems , Journal of Computational Physics.
Badia S, Codina R and Espinoza H (2014), Stability, convergence and accuracy of stabilized finite element methods for the wave equation in mixed form , SIAM Journal on Numerical Analysis. Vol. In press
Espinoza H, Codina R and Badia S (2014), A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form , Computer Methods in Applied Mechanics and Engineering., July, 2014. Vol. 276, pp. 122-148.
Martn AF, Reyes R, Badia RM and Quintana-Ort ES (2014), Leveraging task-parallelism in message-passing dense matrix factorizations using SMPSs , Parallel Computing., May, 2014. Vol. 40(5-6), pp. 113-128.
Smolentsev S, Badia S, Bhattacharyay R, Bühler L, Chen L, Huang Q, Jin HG, Krasnov D, Lee DW, de les Valls EM, Mistrangelo C, Munipalli R, Ni MJ, Pashkevich D, Patel A, Pulugundla G, Satyamurthy P, Snegirev A, Sviridov V, Swain P, Zhou T and Zikanov O (2014), An approach to verification and validation of MHD codes for fusion applications , Fusion Engineering and Design. Vol. In press.
Badia S and Baiges J (2013), Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations , SIAM Journal on Scientific Computing, January, 2013. Vol. 35(1), pp. A491-A516.
Badia S and Gutiérrez-Santacreu JV (2013), Convergence towards weak solutions of the Navier--Stokes equations for a finite element approximation with numerical subgrid-scale modelling , IMA Journal of Numerical Analysis., September, 2013. , pp. drt023.
Badia S, Martín AF and Principe J (2013), Enhanced balancing Neumann-Neumann preconditioning in computational fluid and solid mechanics , International Journal for Numerical Methods in Engineering, October, 2013. Vol. 96(4), pp. 203-230.
Badia S, Martín AF and Principe J (2013), Implementation and Scalability Analysis of Balancing Domain Decomposition Methods , Archives of Computational Methods in Engineering., September, 2013. Vol. 20(3), pp. 239-262.
Badia S, Planas R and Gutiérrez-Santacreu JV (2013), 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.
Badia S, Codina R and Planas R (2013), On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics , Journal of Computational Physics., February, 2013. Vol. 234(0), pp. 399-416.
Codina R and Badia S (2013), On the design of discontinuous Galerkin methods for elliptic problems based on hybrid formulations , Computer Methods in Applied Mechanics and Engineering., August, 2013. Vol. 263, pp. 158-168.
Badia S and Codina R (2012), 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.
Badia S (2012), 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., November, 2012. Vol. 247–248(0), pp. 65-72.
Badia S and Codina R (2012), Stokes, Maxwell and Darcy: A single finite element approximation for three model problems , Applied Numerical Mathematics., April, 2012. Vol. 62(4), pp. 246-263.
Aliaga JI, Bollhöfer M, Martn AF and Quintana-Ort ES (2011), Exploiting thread-level parallelism in the iterative solution of sparse linear systems , Parallel Computing., March, 2011. Vol. 37(3), pp. 183-202.
Avila M, Codina R and Principe J (2011), 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.
Avila M, Principe J and Codina R (2011), 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.
Badia S and Codina R (2011), A combined nodal continuous–discontinuous finite element formulation for the Maxwell problem , Applied Mathematics and Computation., December, 2011. Vol. 218(8), pp. 4276-4294.
Badia S, Guillén-González F and Gutiérrez-Santacreu JV (2011), Finite element approximation of nematic liquid crystal flows using a saddle-point structure , Journal of Computational Physics., February, 2011. Vol. 230(4), pp. 1686-1706.
Badia S, Guillén-Gónzalez F and Gutiérrez-Santacreu J (2011), An Overview on Numerical Analyses of Nematic Liquid Crystal Flows , Archives of Computational Methods in Engineering. Vol. 18(3), pp. 285-313.
Bollhöfer M, Aliaga JI, Martn AF and Quintana-Ort ES (2011), "ILUPACK" , In Encyclopedia of Parallel Computing., January, 2011. , pp. 917-926. Springer US.
Planas R, Badia S and Codina R (2011), Approximation of the inductionless MHD problem using a stabilized finite element method , Journal of Computational Physics., April, 2011. Vol. 230(8), pp. 2977-2996.
Schrefler BA, Codina R, Pesavento F and Principe J (2011), 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.
Badia S, Codina R and Gutierrez-Santacreu JV (2010), 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.
Badia S and Codina R (2010), Stabilized continuous and discontinuous Galerkin techniques for Darcy flow , Computer Methods in Applied Mechanics and Engineering., May, 2010. Vol. 199(25–28), pp. 1654-1667.
Codina R, Principe J and Ávila M (2010), 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.
Principe J and Codina R (2010), 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.
Principe J, Codina R and Henke F (2010), "The dissipative structure of variational multiscale methods for incompressible flows" , Computer Methods in Applied Mechanics and Engineering. Vol. 199, pp. 791-801.
Badia S, Quaini A and Quarteroni A (2009), Coupling Biot and Navier–Stokes equations for modelling fluid--poroelastic media interaction , Journal of Computational Physics., November, 2009. Vol. 228(21), pp. 7986-8014.
Badia S and Codina R (2009), On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space–time discretization , Applied Mathematics and Computation., January, 2009. Vol. 207(2), pp. 415-433.
Badia S, Nobile F and Vergara C (2009), Robin-Robin preconditioned Krylov methods for fluid–structure interaction problems , Computer Methods in Applied Mechanics and Engineering., July, 2009. Vol. 198(33–36), pp. 2768-2784.
Badia S and Codina R (2009), Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems , SIAM Journal on Numerical Analysis. Vol. 47(3), pp. 1971-2000.
Codina R, Principe J and Baiges J (2009), 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.
Principe J and Codina R (2009), Mathematical models for thermally coupled low speed flows , Advances in Theoretical and Applied Mechanics. Vol. 2(1-4), pp. 93-112.
Principe J and Codina R (2009), A numerical approximation of the thermal coupling of fluids and solids , International Journal for Numerical Methods in Fluids. Vol. 59, pp. 1181-1201.
Badia S and Codina R (2008), Algebraic Pressure Segregation Methods for the Incompressible Navier-Stokes Equations , Archives of Computational Methods in Engineering., September, 2008. Vol. 15(3), pp. 343-369.
Badia S, Parks M, Bochev P, Gunzburger M and Lehoucq R (2008), On Atomistic-to-Continuum Coupling by Blending , Multiscale Modeling & Simulation. Vol. 7(1), pp. 381.
Badia S, Nobile F and Vergara C (2008), Fluid-structure partitioned procedures based on Robin transmission conditions , Journal of Computational Physics., July, 2008. Vol. 227(14), pp. 7027-7051.
Badia S, Quaini A and Quarteroni A (2008), Modular vs. non-modular preconditioners for fluid–structure systems with large added-mass effect , Computer Methods in Applied Mechanics and Engineering, September, 2008. Vol. 197(49–50), pp. 4216-4232.
Badia S and Codina R (2008), Pressure segregation methods based on a discrete pressure Poisson equation. An algebraic approach , International Journal for Numerical Methods in Fluids., February, 2008. Vol. 56(4), pp. 351-382.
Badia S, Quaini A and Quarteroni A (2008), Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction , SIAM Journal on Scientific Computing. Vol. 30(4), pp. 1778.
Codina R, González-Ondina JM, Díaz-Hernández G and Principe J (2008), 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.
Houzeaux G and Principe J (2008), A variational subgrid scale model for transient incompressible flows , International Journal of Computational Fluid Dynamics. Vol. 22, pp. 135-152.
Principe J and Codina R (2008), 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.
Badia S and Codina R (2007), Convergence analysis of the FEM approximation of the first order projection method for incompressible flows with and without the inf-sup condition , Numerische Mathematik., July, 2007. Vol. 107(4), pp. 533-557.
Badia S and Codina R (2007), On some fluid--structure iterative algorithms using pressure segregation methods. Application to aeroelasticity , International Journal for Numerical Methods in Engineering., October, 2007. Vol. 72(1), pp. 46-71.
Badia S, Bochev P, Lehoucq R, Parks ML, Fish J, Nuggehally MA and Gunzburger M (2007), A Force-Based Blending Model for Atomistic-to-Continuum Coupling , International Journal for Multiscale Computational Engineering. Vol. 5(5), pp. 387-406.
Codina R and Principe J (2007), 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.
Codina R, Principe J, Guasch O and Badia S (2007), Time dependent subscales in the stabilized finite element approximation of incompressible flow problems , Computer Methods in Applied Mechanics and Engineering., April, 2007. Vol. 196(21–24), pp. 2413-2430.
Fish J, Nuggehally MA, Shephard MS, Picu CR, Badia S, Parks ML and Gunzburger M (2007), Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force , Computer Methods in Applied Mechanics and Engineering., September, 2007. Vol. 196(45–48), pp. 4548-4560.
Badia S and Codina R (2006), 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.

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