Exploració per autor "Badia, Santiago"
Ara es mostren els items 13-32 de 61
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Balancing domain decomposition by constraints and perturbation
Badia, Santiago; Nguyen, Hieu Trung (2016-11)
Article
Accés obertIn this paper, we formulate and analyze a perturbed formulation of the balancing domain decomposition by constraints (BDDC) method. We prove that the perturbed BDDC has the same polylogarithmic bound for the condition ... -
Balancing domain decomposition by constraints associated with subobjects
Badia, Santiago; Martín Huertas, Alberto Francisco; Nguyen, Hieu Trung (Elsevier, 2019-01)
Article
Accés obertA simple variant of the BDDC preconditioner in which constraints are imposed on a selected set of subobjects (subdomain subedges, subfaces and vertices between pairs of subedges) is presented. We are able to show that the ... -
Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem
Badia, Santiago; Martín Huertas, Alberto Francisco; Planas Badenas, Ramon (2013)
Report de recerca
Accés obertThe thermally coupled incompressible inductionless magnetohydrodynamics (MHD) problem models the ow of an electrically charged fuid under the in uence of an external electromagnetic eld with thermal coupling. This system ... -
Convergence to suitable weak solutions for a finite element approximation of the Navier–Stokes equations with numerical subgrid scale modeling
Badia, Santiago; Gutierrez Santacreu, Vicente (2017-04)
Article
Accés obertIn this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid model that enforces orthogonality between ... -
Convergence towards weak solutions of the Navier-Stokes equations for a finite element approximation with numerical subgrid scale modeling
Badia, Santiago; Gutiérrez Santacreu, Juan Vicente (2012)
Report de recerca
Accés obertResidual-based stabilized nite element techniques for the Navier-Stokes equations lead to numerical discretizations that provide convection stabilization as well as pressure stability without the need to satisfy an inf-sup ... -
Coupling Biot and Navier-Stokes problems for fluid-poroelastic structure interaction
Badia, Santiago; Quaini, Annalisa; Quarteroni, Alfio (2008-02-05)
Article
Accés obertThe interaction between a fluid and a poroelastic structure is a complex problem that couples the Navier-Stokes equations for the fluid with the Biot system for the structure. The finite element approximation of this problem ... -
Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes
Badia, Santiago; Bonilla de Toro, Jesús; Hierro Fabregat, Alba (2017-06)
Article
Accés obertThis work is devoted to the design of interior penalty discontinuous Galerkin (dG) schemes that preserve maximum principles at the discrete level for the steady transport and convection–diffusion problems and the respective ... -
Embedded multilevel monte carlo for uncertainty quantification in random domains
Badia, Santiago; Principe, Ricardo Javier (Begell House, 2021-01-01)
Article
Accés obertThe multilevel Monte Carlo (MLMC) method has proven to be an effective variance-reduction statistical method for uncertainty quantification (UQ) in partial differential equation (PDE) models. It combines approximations at ... -
Enhanced balancing Neumann-Neumann preconditioning in computational fluid and solid mechanics
Badia, Santiago; Martín Huertas, Alberto Francisco; Principe, Ricardo Javier (2012)
Report de recerca
Accés obertManuscript submitted for publication in International Journal for Numerical Methods in Engineering. Under review. -
Error analysis of discontinuous Galerkin methods for Stokes problem under minimal regularity
Badia, Santiago; Codina, Ramon; Gudi, Thirupathi; Guzmán, Johnny (2012)
Report de recerca
Accés obertIn this article, we analyze several discontinuous Galerkin methods (DG) for the Stokes problem under the minimal regularity on the solution. We assume that the velocity u belongs to [H1 0 ()]d and the pressure p 2 L2 0 ... -
FEMPAR: an object-oriented parallel finite element framework
Badia, Santiago; Martín Huertas, Alberto Francisco; Principe, Ricardo Javier (2018-04)
Article
Accés obertFEMPAR is an open source object oriented Fortran200X scientific software library for the high-performance scalable simulation of complex multiphysics problems governed by partial differential equations at large scales, by ... -
FEMPAR: Scaling Multi-Level Domain Decomposition up to the full JUQUEEN supercomputer
Martín Huertas, Alberto Francisco; Badia, Santiago; Principe, Ricardo Javier (2015)
Report de recerca
Accés obertIn conjunction with this year's JUQUEEN Porting and Tuning Workshop, which is part of the PRACE Advanced Training Centres curriculum, JSC continued its series of BlueGene Extreme Scaling Workshops. Seven application teams ... -
Geometrical discretisations for unfitted finite elements on explicit boundary representations
Badia, Santiago; Martorell Pol, Pere Antoni; Verdugo Rojano, Francesc (2022-07-01)
Article
Accés restringit per política de l'editorialUnfitted (also known as embedded or immersed) finite element approximations of partial differential equations are very attractive because they have much lower geometrical requirements than standard body-fitted formulations. ... -
Implementation and scalability analysis of balancing domain decomposition methods
Badia, Santiago; Martín Huertas, Alberto Francisco; Principe, Ricardo Javier (2012)
Report de recerca
Accés obertManuscript submitted for publication in SIAM Journal of Scientific Computing. Under Review. -
Long term stability estimates and existence of a global attractor in a finite element approximation of the Navier-Stokes equations with numerical sub-grid scale modeling
Badia, Santiago; Codina, Ramon; Gutiérrez Santacreu, Juan Vicente (2012)
Text en actes de congrés
Accés obertVariational multiscale methods lead to stable finite element approximations of the Navier-Stokes equations, both dealing with the indefinite nature of the system (pressure stability) and the velocity stability loss for ... -
Long-term stability estimates and existence of a global attractor in a finite element approximation of the Navier-Stokes equations with numerical sub-grid scale modeling
Badia, Santiago; Codina, Ramon; Gutiérrez Santacreu, Juan Vicente (2009-08-01)
Article
Accés obertVariational multiscale methods lead to stable finite element approximations of the Navier-Stokes equations, both dealing with the indefinite nature of the system pressure stability) and the velocity stability loss for high ... -
Maximum-principle preserving space–time isogeometric analysis
Bonilla de Toro, Jesús; Badia, Santiago (2019-09)
Article
Accés obertIn this work we propose a nonlinear stabilization technique for convection–diffusion–reaction and pure transport problems discretized with space–time isogeometric analysis. The stabilization is based on a graph-theoretic ... -
Mixed aggregated finite element methods for the unfitted discretization of the Stokes problem
Badia, Santiago; Martín Huertas, Alberto Francisco; Verdugo Rojano, Francesc (2018-12-18)
Article
Accés obertIn this work, we consider unfitted finite element methods for the numerical approximation of the Stokes problem. It is well-known that these kinds of methods lead to arbitrarily ill-conditioned systems and poorly approximated ... -
Mixed finite element methods with convection stabilization for the large eddy simulation of incompressible turbulent flows
Colomés Gené, Oriol; Badia, Santiago; Principe, Ricardo Javier (2016-06)
Article
Accés obertThe variational multiscale method thought as an implicit large eddy simulation model for turbulent flows has been shown to be an alternative to the widely used physical-based models. This method is traditionally combined ... -
Model problems in magneto-hydrodynamics: individual numerical challenges and coupling possibilities
Codina, Ramon; Badia, Santiago; Planas Badenas, Ramon (2011)
Text en actes de congrés
Accés obertIn this work we discuss two model problems appearing in magneto-hydrodynamics (MHD), namely, the so called full MHD problem and the inductionless MHD problem. The first involves as unknowns the fluid velocity and pressure, ...