Browsing by Author "Badia, Santiago"
Now showing items 1-20 of 61
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A massively parallel implementation of multilevel Monte Carlo for finite element models
(2023-11-01)
Article
Open AccessThe 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, combining model computations ... -
A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions
(2009-11-17)
Article
Open AccessA new mixed finite element approximation of Maxwell’s problem is proposed, its main features being that it is based on a novel augmented formulation of the continuous problem and the introduction of a mesh dependent ... -
A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions
(2012)
Article
Open AccessA new mixed finite element approximation of Maxwell’s problem is proposed, its main features being that it is based on a novel augmented formulation of the continuous problem and the introduction of a mesh dependent ... -
A pseudo-compressible variational multiscale solver for turbulent incompressible flows
(2016-12)
Article
Open AccessIn this work, we design an explicit time-stepping solver for the simulation of the incompressible turbulent flow through the combination of VMS methods and artificial compressibility. We evaluate the effect of the artificial ... -
A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics
(2021-12)
Article
Open AccessIn this work, we bridge standard Adaptive Mesh Refinement and coarsening (AMR) on scalable octree background meshes and robust unfitted Finite Element (FE) formulations for the automatic and efficient solution of large-scale ... -
A scalable parallel finite element framework for growing geometries: application to metal additive manufacturing
(John Wiley & sons, 2019-09)
Article
Open AccessThis work introduces an innovative parallel, fully-distributed finite element framework for growing geometries and its application to metal additive manufacturing. It is well-known that virtual part design and qualification ... -
A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form
(2014-07-01)
Article
Restricted access - publisher's policyIn this paper we develop numerical approximations of the wave equation in mixed form supplemented with non-reflecting boundary conditions (NRBCs) of Sommerfeld-type on artificial boundaries for truncated domains. We consider ... -
Adaptive finite element simulation of incompressible flows by hybrid continuous-discontinuous Galerkin formulations
(2013-02)
Article
Open AccessIn this work we design hybrid continuous-discontinuous finite element spaces that permit discontinuities on non-matching element interfaces of non-conforming meshes. Then, we develop an equal-order stabilized finite element ... -
An approach to verification and validation of MHD codes for fusion applications
(2015-11)
Article
Open AccessWe propose a new activity on verification and validation (V&V) of MHD codes presently employed by the fusion community as a predictive capability tool for liquid metal cooling applications, such as liquid metal blankets. ... -
Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics
(2015-11)
Article
Open AccessIn this work, we analyze a recently proposed stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation with respect to existing ones is the ... -
Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics
(2012)
Research report
Open AccessIn this work, we analyze a recently proposed stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation with respect to existing ones is the ... -
Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows
(2015-03)
Article
Open AccessIn this work we study the performance of some variational multiscale models (VMS) in the large eddy simulation (LES) of turbulent flows. We consider VMS models obtained by different subgrid scale approximations which include ... -
Balancing domain decomposition by constraints and perturbation
(2016-11)
Article
Open AccessIn 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
(Elsevier, 2019-01)
Article
Open AccessA 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
(2013)
Research report
Open AccessThe 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
(2017-04)
Article
Open AccessIn 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
(2012)
Research report
Open AccessResidual-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
(2008-02-05)
Article
Open AccessThe 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
(2017-06)
Article
Open AccessThis 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
(Begell House, 2021-01-01)
Article
Open AccessThe 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 ...
