Santiago Badia
Orcid: 0000-0003-2391-4086
According to our database1,
Santiago Badia
authored at least 72 papers
between 2006 and 2024.
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Bibliography
2024
CoRR, 2024
2023
A massively parallel implementation of multilevel Monte Carlo for finite element models.
Math. Comput. Simul., November, 2023
Space-time unfitted finite element methods for time-dependent problems on moving domains.
Comput. Math. Appl., April, 2023
High order unfitted finite element discretizations for explicit boundary representations.
CoRR, 2023
Model order reduction with novel discrete empirical interpolation methods in space-time.
CoRR, 2023
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem.
CoRR, 2023
Finite element interpolated neural networks for solving forward and inverse problems.
CoRR, 2023
Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks.
CoRR, 2023
2022
J. Sci. Comput., 2022
J. Open Source Softw., 2022
Geometrical discretisations for unfitted finite elements on explicit boundary representations.
J. Comput. Phys., 2022
The software design of Gridap: A Finite Element package based on the Julia JIT compiler.
Comput. Phys. Commun., 2022
Stability and conditioning of immersed finite element methods: analysis and remedies.
CoRR, 2022
CoRR, 2022
Space-time aggregated finite element methods for time-dependent problems on moving domains.
CoRR, 2022
A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations in space and time.
CoRR, 2022
Robust high-order unfitted finite elements by interpolation-based discrete extension.
Comput. Math. Appl., 2022
2021
The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes.
SIAM J. Sci. Comput., 2021
2020
SIAM J. Sci. Comput., 2020
Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems.
J. Comput. Phys., 2020
Comput. Phys. Commun., 2020
A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics.
CoRR, 2020
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems.
CoRR, 2020
2019
Physics-Based Balancing Domain Decomposition by Constraints for Multi-Material Problems.
J. Sci. Comput., 2019
Comput. Phys. Commun., 2019
CoRR, 2019
CoRR, 2019
A user-guide to Gridap - grid-based approximation of partial differential equations in Julia.
CoRR, 2019
CoRR, 2019
Appl. Math. Lett., 2019
On a general implementation of <i>h</i>- and <i>p</i>-adaptive curl-conforming finite elements.
Adv. Eng. Softw., 2019
2018
Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem.
SIAM J. Sci. Comput., 2018
Editorial: Algorithmic Aspects of High-Performance Computing for Mechanics and Physics.
J. Comput. Appl. Math., 2018
Robust and scalable domain decomposition solvers for unfitted finite element methods.
J. Comput. Appl. Math., 2018
Nonlinear parallel-in-time Schur complement solvers for ordinary differential equations.
J. Comput. Appl. Math., 2018
Numerical modelling of heat transfer and experimental validation in Powder-Bed Fusion with the Virtual Domain Approximation.
CoRR, 2018
A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing.
CoRR, 2018
2017
Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling.
J. Sci. Comput., 2017
2016
SIAM J. Sci. Comput., 2016
SIAM J. Numer. Anal., 2016
Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes.
CoRR, 2016
Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization.
CoRR, 2016
2015
On the scalability of inexact balancing domain decomposition by constraints with overlapped coarse/fine corrections.
Parallel Comput., 2015
2014
A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints.
SIAM J. Sci. Comput., 2014
On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems.
SIAM J. Sci. Comput., 2014
Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form.
SIAM J. Numer. Anal., 2014
Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem.
J. Comput. Phys., 2014
2013
Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations.
SIAM J. Sci. Comput., 2013
On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics.
J. Comput. Phys., 2013
2012
A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions.
SIAM J. Numer. Anal., 2012
2011
Approximation of the inductionless MHD problem using a stabilized finite element method.
J. Comput. Phys., 2011
Finite element approximation of nematic liquid crystal flows using a saddle-point structure.
J. Comput. Phys., 2011
A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem.
Appl. Math. Comput., 2011
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 J. Numer. Anal., 2010
2009
Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems.
SIAM J. Numer. Anal., 2009
Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction.
J. Comput. Phys., 2009
On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space-time discretization.
Appl. Math. Comput., 2009
2008
SIAM J. Sci. Comput., 2008
J. Comput. Phys., 2008
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, 2007
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007
2006
Analysis of a Stabilized Finite Element Approximation of the Transient Convection-Diffusion Equation Using an ALE Framework.
SIAM J. Numer. Anal., 2006