Santiago Badia

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 68

Top Topics

Interpolation Method

Top Venues

SIAM J. Sci. Comput.

Comput. Math. Appl.

J. Comput. Phys.

Publications

Santiago Badia, Martin Hornkjøl, Arbaz Khan, Kent-André Mardal, Alberto F. Martín, Ricardo Ruiz-Baier
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. Comput. Math. Appl. 157 (2024)
Santiago Badia, Wei Li, Alberto F. Martín
Adaptive Finite Element Interpolated Neural Networks. CoRR (2024)
Alexandre Magueresse, Santiago Badia
Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks. Comput. Math. Appl. 162 (2024)
Zachary J. Wegert, Jordi Manyer, Connor N. Mallon, Santiago Badia, Vivien J. Challis
GridapTopOpt.jl: A scalable Julia toolbox for level set-based topology optimisation. CoRR (2024)
Pere A. Martorell, Santiago Badia
High order unfitted finite element discretizations for explicit boundary representations. J. Comput. Phys. 511 (2024)
David Lee, Alberto F. Martín, Christopher Bladwell, Santiago Badia
A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations. Comput. Math. Appl. 165 (2024)
Nicholas Mueller, Santiago Badia
Model order reduction with novel discrete empirical interpolation methods in space-time. J. Comput. Appl. Math. 444 (2024)
Santiago Badia, Pere A. Martorell, Francesc Verdugo
Space-time unfitted finite elements on moving explicit geometry representations. CoRR (2024)
Santiago Badia, Wei Li, Alberto F. Martín
Finite element interpolated neural networks for solving forward and inverse problems. CoRR (2023)
Connor N. Mallon, Aaron W. Thornton, Matthew R. Hill, Santiago Badia
Neural Level Set Topology Optimization Using Unfitted Finite Elements. CoRR (2023)
Santiago Badia, Hridya Dilip, Francesc Verdugo
Space-time unfitted finite element methods for time-dependent problems on moving domains. Comput. Math. Appl. 135 (2023)
Pere A. Martorell, Santiago Badia
High order unfitted finite element discretizations for explicit boundary representations. CoRR (2023)
Nicholas Mueller, Santiago Badia
Model order reduction with novel discrete empirical interpolation methods in space-time. CoRR (2023)
Alexandre Magueresse, Santiago Badia
Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks. CoRR (2023)
Santiago Badia, Jerrad Hampton, Javier Principe
A massively parallel implementation of multilevel Monte Carlo for finite element models. Math. Comput. Simul. 213 (2023)
Francesc Verdugo, Santiago Badia
The software design of Gridap: A Finite Element package based on the Julia JIT compiler. Comput. Phys. Commun. 276 (2022)
Santiago Badia, Eric Neiva, Francesc Verdugo
Robust high-order unfitted finite elements by interpolation-based discrete extension. CoRR (2022)
Santiago Badia, Jesús Bonilla, Juan Vicente Gutiérrez-Santacreu
Bound-preserving finite element approximations of the Keller-Segel equations. CoRR (2022)
Santiago Badia, Jérôme Droniou, Liam Yemm
Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces. J. Sci. Comput. 92 (2) (2022)
Santiago Badia, Alberto F. Martín, Francesc Verdugo
GridapDistributed: a massively parallel finite element toolbox in Julia. J. Open Source Softw. 7 (74) (2022)
Frits de Prenter, Clemens Verhoosel, Harald van Brummelen, Mats Larson, Santiago Badia
Stability and conditioning of immersed finite element methods: analysis and remedies. CoRR (2022)
Santiago Badia, Pere A. Martorell, Francesc Verdugo
Geometrical discretisations for unfitted finite elements on explicit boundary representations. J. Comput. Phys. 460 (2022)
Santiago Badia, Hridya Dilip, Francesc Verdugo
Space-time aggregated finite element methods for time-dependent problems on moving domains. CoRR (2022)
Santiago Badia, Eric Neiva, Francesc Verdugo
Robust high-order unfitted finite elements by interpolation-based discrete extension. Comput. Math. Appl. 127 (2022)
David Lee, Alberto F. Martín, Christopher Bladwell, Santiago Badia
A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations in space and time. CoRR (2022)
Francesc Verdugo, Santiago Badia
The software design of Gridap: a Finite Element package based on the Julia JIT compiler. CoRR (2021)
Santiago Badia, Pere A. Martorell, Francesc Verdugo
Geometrical discretisations for unfitted finite elements on explicit boundary representations. CoRR (2021)
Santiago Badia, Jérôme Droniou, Liam Yemm
Conditioning of a Hybrid High-Order scheme on meshes with small faces. CoRR (2021)
Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes. SIAM J. Sci. Comput. 43 (3) (2021)
Santiago Badia, Jerrad Hampton, Javier Principe
A Massively Parallel Implementation of Multilevel Monte Carlo for Finite Element Models. CoRR (2021)
Santiago Badia, Eric Neiva, Francesc Verdugo
Linking ghost penalty and aggregated unfitted methods. CoRR (2021)
Santiago Badia, Francesc Verdugo
Gridap: An extensible Finite Element toolbox in Julia. J. Open Source Softw. 5 (52) (2020)
Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
The aggregated unfitted finite element method on parallel tree-based adaptive meshes. CoRR (2020)
Eric Neiva, Santiago Badia
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems. CoRR (2020)
Santiago Badia, Alberto F. Martín
A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0. Comput. Phys. Commun. 248 (2020)
Santiago Badia, Alberto F. Martín, Hieu Nguyen
Balancing domain decomposition by constraints associated with subobjects. CoRR (2020)
Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
A Generic Finite Element Framework on Parallel Tree-Based Adaptive Meshes. SIAM J. Sci. Comput. 42 (6) (2020)
Santiago Badia, Manuel Caicedo, Alberto F. Martín, Javier Principe
A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics. CoRR (2020)
Jesús Bonilla, Santiago Badia
Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems. J. Comput. Phys. 416 (2020)
Francesc Verdugo, Alberto F. Martín, Santiago Badia
Distributed-memory parallelization of the aggregated unfitted finite element method. CoRR (2019)
Santiago Badia, Alberto F. Martín, Hieu Nguyen
Balancing domain decomposition by constraints associated with subobjects. Appl. Math. Lett. 87 (2019)
Santiago Badia, Alberto F. Martín, Marc Olm
Scalable solvers for complex electromagnetics problems. CoRR (2019)
Santiago Badia, Alberto F. Martín, Hieu Nguyen
Physics-Based Balancing Domain Decomposition by Constraints for Multi-Material Problems. J. Sci. Comput. 79 (2) (2019)
Santiago Badia, Jerrad Hampton, Javier Principe
Embedded multilevel Monte Carlo for uncertainty quantification in random domains. CoRR (2019)
Marc Olm, Santiago Badia, Alberto F. Martín
-adaptive curl-conforming finite elements. Adv. Eng. Softw. 132 (2019)
Jesús Bonilla, Santiago Badia
Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems. CoRR (2019)
Marc Olm, Santiago Badia, Alberto F. Martín
Simulation of High Temperature Superconductors and experimental validation. Comput. Phys. Commun. 237 (2019)
Francesc Verdugo, Santiago Badia
A user-guide to Gridap - grid-based approximation of partial differential equations in Julia. CoRR (2019)
Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
A generic finite element framework on parallel tree-based adaptive meshes. CoRR (2019)
Santiago Badia, Alberto F. Martín
A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0. CoRR (2019)
Santiago Badia, Jesús Bonilla, Sibusiso Mabuza, John N. Shadid
On differentiable local bounds preserving stabilization for Euler equations. CoRR (2019)
Victor M. Calo, Santiago Badia, Javier Principe
Editorial: Algorithmic Aspects of High-Performance Computing for Mechanics and Physics. J. Comput. Appl. Math. 344 (2018)
Eric Neiva, Michele Chiumenti, Miguel Cervera, Emilio Salsi, Gabriele Piscopo, Santiago Badia, Alberto F. Martín, Zhuoer Chen, Caroline Lee, Christopher Davies
Numerical modelling of heat transfer and experimental validation in Powder-Bed Fusion with the Virtual Domain Approximation. CoRR (2018)
Santiago Badia, Francesc Verdugo
Robust and scalable domain decomposition solvers for unfitted finite element methods. J. Comput. Appl. Math. 344 (2018)
Santiago Badia, Alberto F. Martín, Francesc Verdugo
Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem. SIAM J. Sci. Comput. 40 (6) (2018)
Jesús Bonilla, Santiago Badia
Maximum-principle preserving space-time isogeometric analysis. CoRR (2018)
Eric Neiva, Santiago Badia, Alberto F. Martín, Michele Chiumenti
A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing. CoRR (2018)
Santiago Badia, Marc Olm
Nonlinear parallel-in-time Schur complement solvers for ordinary differential equations. J. Comput. Appl. Math. 344 (2018)
Marc Olm, Santiago Badia, Alberto F. Martín
Simulation of high temperature superconductors and experimental validation. CoRR (2017)
Santiago Badia, Francesc Verdugo, Alberto F. Martín
The aggregated unfitted finite element method for elliptic problems. CoRR (2017)
Santiago Badia, Marc Olm
Space-time balancing domain decomposition. CoRR (2017)
Santiago Badia, Marc Olm
Space-Time Balancing Domain Decomposition. SIAM J. Sci. Comput. 39 (2) (2017)
Santiago Badia, Juan Vicente Gutiérrez-Santacreu
Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling. J. Sci. Comput. 71 (1) (2017)
Santiago Badia, Alberto F. Martín, Javier Principe
FEMPAR: An object-oriented parallel finite element framework. CoRR (2017)
Santiago Badia, Hieu Nguyen
Balancing Domain Decomposition by Constraints and Perturbation. SIAM J. Numer. Anal. 54 (6) (2016)
Santiago Badia, Jesús Bonilla
Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization. CoRR (2016)
Santiago Badia, Alberto F. Martín, Javier Principe
Multilevel Balancing Domain Decomposition at Extreme Scales. SIAM J. Sci. Comput. 38 (1) (2016)
Santiago Badia, Jesús Bonilla, Alba Hierro
Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes. CoRR (2016)
Santiago Badia, Alberto F. Martín, Javier Principe
On the scalability of inexact balancing domain decomposition by constraints with overlapped coarse/fine corrections. Parallel Comput. 50 (2015)
Santiago Badia, Alberto F. Martín, Javier Principe
A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints. SIAM J. Sci. Comput. 36 (2) (2014)
Santiago Badia, Alba Hierro
On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems. SIAM J. Sci. Comput. 36 (6) (2014)
Santiago Badia, Ramon Codina, Hector Espinoza
Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form. SIAM J. Numer. Anal. 52 (4) (2014)
Santiago Badia, Alberto F. Martín, Ramon Planas
Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem. J. Comput. Phys. 274 (2014)
Santiago Badia, Joan Baiges
Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations. SIAM J. Sci. Comput. 35 (1) (2013)
Santiago Badia, Ramon Codina, Ramon Planas
On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics. J. Comput. Phys. 234 (2013)
Santiago Badia, Ramon Codina
A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions. SIAM J. Numer. Anal. 50 (2) (2012)
Santiago Badia, Ramon Codina
A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem. Appl. Math. Comput. 218 (8) (2011)
Santiago Badia, Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
Finite element approximation of nematic liquid crystal flows using a saddle-point structure. J. Comput. Phys. 230 (4) (2011)
Ramon Planas, Santiago Badia, Ramon Codina
Approximation of the inductionless MHD problem using a stabilized finite element method. J. Comput. Phys. 230 (8) (2011)
Santiago Badia, Ramon Codina, Juan Vicente Gutiérrez-Santacreu
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. 48 (3) (2010)
Santiago Badia, Ramon Codina
Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems. SIAM J. Numer. Anal. 47 (3) (2009)
Santiago Badia, Annalisa Quaini, Alfio Quarteroni
Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction. J. Comput. Phys. 228 (21) (2009)
Santiago Badia, Ramon Codina
On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space-time discretization. Appl. Math. Comput. 207 (2) (2009)
Santiago Badia, Michael L. Parks, Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq
On Atomistic-to-Continuum Coupling by Blending. Multiscale Model. Simul. 7 (1) (2008)
Santiago Badia, Fabio Nobile, Christian Vergara
Fluid-structure partitioned procedures based on Robin transmission conditions. J. Comput. Phys. 227 (14) (2008)
Santiago Badia, Annalisa Quaini, Alfio Quarteroni
Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction. SIAM J. Sci. Comput. 30 (4) (2008)
Santiago Badia, Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq, Michael L. Parks
Bridging Methods for Coupling Atomistic and Continuum Models. LSSC (2007)
Santiago Badia, Ramon Codina
Convergence analysis of the FEM approximation of the first order projection method for incompressible flows with and without the inf-sup condition. Numerische Mathematik 107 (4) (2007)
Santiago Badia, Ramon Codina
Analysis of a Stabilized Finite Element Approximation of the Transient Convection-Diffusion Equation Using an ALE Framework. SIAM J. Numer. Anal. 44 (5) (2006)