Santiago Badia

Santiago Badia

Professor of Computational Mathematics

Monash University

I am Professor of Computational Mathematics at Monash University (Melbourne, Australia). Previously, I served as a Professor at UPC (Barcelona, 2009–2019) and as a researcher at Sandia National Labs (Albuquerque, 2007–2008) and Politecnico di Milano (2006).

My research is about the design and analysis of numerical discretisations of partial differential equations. I have designed and analysed finite element methods (in a broad sense) for singularly perturbed regimes, indefinite systems, multiphysics, and multiscale problems. I have also contributed to stabilized and unfitted finite element methods, large-scale parallel domain decomposition and multigrid solvers, and coupling techniques. More recently, I have been exploring the power of neural networks for the approximation of forward and inverse problems governed by PDEs. Overall, I have authored over 100 publications in these areas.

I have led several open-source scientific software projects, including the most recent Gridap project.

Submitted

A natural language framework for non-conforming hybrid polytopal methods in Gridap.jl
A natural language framework for non-conforming hybrid polytopal methods in Gridap.jl
Jordi Manyer, Jai Tushar, Santiago Badia
arXiv, 2026
arXiv
Geometric Multigrid solvers for Hybrid High-Order methods on polytopal meshes
Geometric Multigrid solvers for Hybrid High-Order methods on polytopal meshes
Jordi Manyer, Santiago Badia
arXiv, 2026
arXiv
Energy minimisation using overlapping tensor-product free-knot B-splines
Energy minimisation using overlapping tensor-product free-knot B-splines
Alexandre Magueresse, Santiago Badia
arXiv, 2025
arXiv
A convergence framework for energy minimisation of linear self-adjoint elliptic PDEs in nonlinear approximation spaces
A convergence framework for energy minimisation of linear self-adjoint elliptic PDEs in nonlinear approximation spaces
Alexandre Magueresse, Santiago Badia
arXiv, 2025
arXiv

Accepted for publication

Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods
Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods
Santiago Badia, Jérôme Droniou, Jordi Manyer, Jai Tushar
SIAM Journal on Numerical Analysis, 2025
arXiv

2026

Reduced basis solvers for unfitted methods on parameterized domains
Reduced basis solvers for unfitted methods on parameterized domains
Nicholas Mueller, Santiago Badia, Yiran Zhao
Computer Methods in Applied Mechanics and Engineering, 2026
DOI / arXiv
GridapROMs.jl: Efficient reduced order modelling in the Julia programming language
GridapROMs.jl: Efficient reduced order modelling in the Julia programming language
Nicholas Mueller, Santiago Badia
Computer Physics Communications, 2026
DOI / arXiv
A tensor-train reduced basis solver for parameterized partial differential equations on Cartesian grids
A tensor-train reduced basis solver for parameterized partial differential equations on Cartesian grids
Nicholas Mueller, Yiran Zhao, Santiago Badia, Tiangang Cui
Journal of Computational and Applied Mathematics, 2026
DOI / arXiv
Unfitted finite element interpolated neural networks
Unfitted finite element interpolated neural networks
Wei Li, Alberto F. Martín, Santiago Badia
Journal of Computational Physics, 2026
DOI / arXiv

2025

Energy and entropy conserving compatible finite elements with upwinding for the thermal shallow water equations
Energy and entropy conserving compatible finite elements with upwinding for the thermal shallow water equations
Tamara A. Tambyah, David Lee, Santiago Badia
Journal of Computational Physics, 2025
DOI / arXiv
Compatible finite element interpolated neural networks
Compatible finite element interpolated neural networks
Santiago Badia, Wei Li, Alberto F. Martín
Computer Methods in Applied Mechanics and Engineering, 2025
DOI / arXiv
STLCutters.jl: A scalable geometrical framework library for unfitted finite element discretisations
STLCutters.jl: A scalable geometrical framework library for unfitted finite element discretisations
Pere A. Martorell, Santiago Badia
Computer Physics Communications, 2025
DOI / arXiv
GridapTopOpt.jl: a scalable Julia toolbox for level set-based topology optimisation
GridapTopOpt.jl: a scalable Julia toolbox for level set-based topology optimisation
Zachary J. Wegert, Jordi Manyer, Connor N. Mallon, Santiago Badia, Vivien J. Challis
Structural and Multidisciplinary Optimization, 2025
DOI / arXiv
Neural Level Set Topology Optimization Using Unfitted Finite Elements
Neural Level Set Topology Optimization Using Unfitted Finite Elements
Connor N. Mallon, Aaron W. Thornton, Matthew R. Hill, Santiago Badia
International Journal for Numerical Methods in Engineering, 2025
DOI / arXiv
A velocity-vorticity-pressure formulation for the steady Navier–Stokes–Brinkman–Forchheimer problem
A velocity-vorticity-pressure formulation for the steady Navier–Stokes–Brinkman–Forchheimer problem
Santiago Badia, Carsten Carstensen, Alberto F. Martín, Ricardo Ruiz-Baier, Segundo Villa-Fuentes
Computer Methods in Applied Mechanics and Engineering, 2025
DOI / arXiv
Level-set topology optimisation with unfitted finite elements and automatic shape differentiation
Level-set topology optimisation with unfitted finite elements and automatic shape differentiation
Zachary J. Wegert, Jordi Manyer, Connor N. Mallon, Santiago Badia, Vivien J. Challis
Computer Methods in Applied Mechanics and Engineering, 2025
DOI / arXiv
A discrete trace theory for non-conforming polytopal hybrid discretisation methods
A discrete trace theory for non-conforming polytopal hybrid discretisation methods
Santiago Badia, Jérôme Droniou, Jai Tushar
Foundations of Computational Mathematics, 2025
DOI / arXiv

2024

Adaptive Finite Element Interpolated Neural Networks
Adaptive Finite Element Interpolated Neural Networks
Santiago Badia, Wei Li, Alberto F. Martín
Computer Methods in Applied Mechanics and Engineering, 2024
DOI / arXiv
Space–time unfitted finite elements on moving explicit geometry representations
Space–time unfitted finite elements on moving explicit geometry representations
Santiago Badia, Pere A. Martorell, Francesc Verdugo
Computer Methods in Applied Mechanics and Engineering, 2024
DOI / arXiv
Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks
Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks
Alexandre Magueresse, Santiago Badia
Computers & Mathematics with Applications, 2024
DOI / arXiv
High order unfitted finite element discretizations for explicit boundary representations
High order unfitted finite element discretizations for explicit boundary representations
Pere A. Martorell, Santiago Badia
Journal of Computational Physics, 2024
DOI / arXiv
Model order reduction with novel discrete empirical interpolation methods in space–time
Model order reduction with novel discrete empirical interpolation methods in space–time
Nicholas Mueller, Santiago Badia
Journal of Computational and Applied Mathematics, 2024
DOI / arXiv
Finite element interpolated neural networks for solving forward and inverse problems
Finite element interpolated neural networks for solving forward and inverse problems
Santiago Badia, Wei Li, Alberto F. Martín
Computer Methods in Applied Mechanics and Engineering, 2024
DOI / arXiv
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem
Santiago Badia, Martin Hornkjøl, Arbaz Khan, Kent-André Mardal, Alberto F. Martín, Ricardo Ruiz-Baier
Computers & Mathematics with Applications, 2024
DOI / arXiv
A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations
A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations
David Lee, Alberto F. Martín, Christopher Bladwell, Santiago Badia
Computers & Mathematics with Applications, 2024
DOI / arXiv
GridapSolvers.jl: Scalable multiphysics finite element solvers in Julia
GridapSolvers.jl: Scalable multiphysics finite element solvers in Julia
Jordi Manyer, Alberto F. Martín, Santiago Badia
Journal of Open Source Software, 2024
DOI
Accuracy and scalability of incompressible inductionless MHD codes applied to fusion technologies
Accuracy and scalability of incompressible inductionless MHD codes applied to fusion technologies
Fernando R Urgorri, Guillermo G Fonfría, Francesc Verdugo, Javier Príncipe, Santiago Badia
Plasma Physics and Controlled Fusion, 2024
DOI

2023

Bound-preserving finite element approximations of the Keller-Segel equations
Bound-preserving finite element approximations of the Keller-Segel equations
Santiago Badia, Jesús Bonilla, Juan Vicente Gutiérrez-Santacreu
Mathematical Models and Methods in Applied Sciences, 2023
DOI / arXiv
Space-time unfitted finite element methods for time-dependent problems on moving domains
Space-time unfitted finite element methods for time-dependent problems on moving domains
Santiago Badia, Hridya Dilip, Francesc Verdugo
Computers &, 2023
DOI / arXiv
Stability and Conditioning of Immersed Finite Element Methods: Analysis and Remedies
Stability and Conditioning of Immersed Finite Element Methods: Analysis and Remedies
Frits de Prenter, Clemens Verhoosel, Harald van Brummelen, Mats Larson, Santiago Badia
Archives of Computational Methods in Engineering, 2023
DOI / arXiv
A massively parallel implementation of multilevel Monte Carlo for finite element models
A massively parallel implementation of multilevel Monte Carlo for finite element models
Santiago Badia, Jerrad Hampton, Javier Príncipe
Mathematics and Computers in Simulation, 2023
DOI / arXiv

2022

Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces
Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces
Santiago Badia, Jérôme Droniou, Liam Yemm
Journal of Scientific Computing, 2022
DOI / arXiv
Linking ghost penalty and aggregated unfitted methods
Linking ghost penalty and aggregated unfitted methods
Santiago Badia, Eric Neiva, Francesc Verdugo
Computer Methods in Applied Mechanics and Engineering, 2022
DOI / arXiv
Geometrical discretisations for unfitted finite elements on explicit boundary representations
Geometrical discretisations for unfitted finite elements on explicit boundary representations
Santiago Badia, Pere A. Martorell, Francesc Verdugo
Journal of Computational Physics, 2022
DOI / arXiv
The software design of Gridap: A Finite Element package based on the Julia JIT compiler
The software design of Gridap: A Finite Element package based on the Julia JIT compiler
Francesc Verdugo, Santiago Badia
Computer Physics Communications, 2022
DOI / arXiv
Robust high-order unfitted finite elements by interpolation-based discrete extension
Robust high-order unfitted finite elements by interpolation-based discrete extension
Santiago Badia, Eric Neiva, Francesc Verdugo
Computers &, 2022
DOI / arXiv
GridapDistributed: a massively parallel finite element toolbox in Julia
GridapDistributed: a massively parallel finite element toolbox in Julia
Santiago Badia, Alberto F. Martín, Francesc Verdugo
Journal of Open Source Software, 2022
DOI

2021

EMBEDDED MULTILEVEL MONTE CARLO FOR UNCERTAINTY QUANTIFICATION IN RANDOM DOMAINS
EMBEDDED MULTILEVEL MONTE CARLO FOR UNCERTAINTY QUANTIFICATION IN RANDOM DOMAINS
Santiago Badia, Jerrad Hampton, Javier Príncipe
International Journal for Uncertainty Quantification, 2021
DOI / arXiv
The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes
The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes
Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
SIAM Journal on Scientific Computing, 2021
DOI / arXiv
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems
Eric Neiva, Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2021
DOI / arXiv
A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics
A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics
Santiago Badia, Manuel A. Caicedo, Alberto F. Martín, Javier Príncipe
Computer Methods in Applied Mechanics and Engineering, 2021
DOI / arXiv

2020

Gridap: An extensible Finite Element toolbox in Julia
Gridap: An extensible Finite Element toolbox in Julia
Santiago Badia, Francesc Verdugo
Journal of Open Source Software, 2020
DOI
A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0
A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0
Santiago Badia, Alberto F. Martín
Computer Physics Communications, 2020
DOI / arXiv
Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems
Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems
Jesús Bonilla, Santiago Badia
Journal of Computational Physics, 2020
DOI / arXiv
On differentiable local bounds preserving stabilization for Euler equations
On differentiable local bounds preserving stabilization for Euler equations
Santiago Badia, Jesús Bonilla, Sibusiso Mabuza, John N. Shadid
Computer Methods in Applied Mechanics and Engineering, 2020
DOI / arXiv
Numerical modelling of heat transfer and experimental validation in powder-bed fusion with the virtual domain approximation
Numerical modelling of heat transfer and experimental validation in powder-bed fusion with the virtual domain approximation
Eric Neiva, Michele Chiumenti, Miguel Cervera, Emilio Salsi, Gabriele Piscopo, Santiago Badia, Alberto F. Martín, Zhuoer Chen, Caroline Lee, Christopher Davies
Finite Elements in Analysis and Design, 2020
DOI / arXiv
A Generic Finite Element Framework on Parallel Tree-Based Adaptive Meshes
A Generic Finite Element Framework on Parallel Tree-Based Adaptive Meshes
Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
SIAM Journal on Scientific Computing, 2020
DOI / arXiv

2019

Balancing domain decomposition by constraints associated with subobjects
Santiago Badia, Alberto F. Martín, Hieu Nguyen
Applied Mathematics Letters, 2019
DOI / arXiv
Simulation of High Temperature Superconductors and experimental validation
Marc Olm, Santiago Badia, Alberto F. Martín
Computer Physics Communications, 2019
DOI / arXiv
Scalable solvers for complex electromagnetics problems
Santiago Badia, Alberto F. Martín, Marc Olm
Finite Elements in Analysis and Design, 2019
DOI / arXiv
Maximum-principle preserving space-time isogeometric analysis
Jesús Bonilla, Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2019
DOI / arXiv
On a general implementation of h- and p-adaptive curl-conforming finite elements
Marc Olm, Santiago Badia, Alberto F. Martín
Advances in Engineering Software, 2019
DOI / arXiv
Distributed-memory parallelization of the aggregated unfitted finite element method
Francesc Verdugo, Alberto F. Martín, Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2019
DOI / arXiv
A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing
Eric Neiva, Santiago Badia, Alberto F. Martín, Michele Chiumenti
International Journal for Numerical Methods in Engineering, 2019
DOI / arXiv

2018

The aggregated unfitted finite element method for elliptic problems
Santiago Badia, Francesc Verdugo, Alberto F. Martín
Computer Methods in Applied Mechanics and Engineering, 2018
DOI / arXiv
Nonlinear parallel-in-time Schur complement solvers for ordinary differential equations
Santiago Badia, Marc Olm
Journal of Computational and Applied Mathematics, 2018
DOI / arXiv
Physics-Based Balancing Domain Decomposition by Constraints for Multi-Material Problems
Santiago Badia, Alberto F. Martín, Hieu Nguyen
Journal of Scientific Computing, 2018
DOI
Robust and scalable domain decomposition solvers for unfitted finite element methods
Santiago Badia, Francesc Verdugo
Journal of Computational and Applied Mathematics, 2018
DOI
Editorial: Algorithmic Aspects of High-Performance Computing for Mechanics and Physics
Victor Calo, Santiago Badia, Javier Príncipe
Journal of Computational and Applied Mathematics, 2018
DOI
Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem
Santiago Badia, Alberto F. Martín, Francesc Verdugo
SIAM Journal on Scientific Computing, 2018
DOI / arXiv

2017

Numerical modelling and experimental validation in Selective Laser Melting
Michele Chiumenti, Eric Neiva, Emilio Salsi, Miguel Cervera, Santiago Badia, Joan Moya, Zhuoer Chen, Caroline Lee, Christopher Davies
Additive Manufacturing, 2017
DOI
FEMPAR: An Object-Oriented Parallel Finite Element Framework
Santiago Badia, Alberto F. Martín, Javier Príncipe
Archives of Computational Methods in Engineering, 2017
DOI / arXiv
Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization
Santiago Badia, Jesús Bonilla
Computer Methods in Applied Mechanics and Engineering, 2017
DOI / arXiv
Space-Time Balancing Domain Decomposition
Santiago Badia, Marc Olm
SIAM Journal on Scientific Computing, 2017
DOI / arXiv
Segregated Runge-Kutta time integration of convection-stabilized mixed finite element schemes for wall-unresolved LES of incompressible flows
Oriol Colomés, Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2017
DOI
Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes
Santiago Badia, Jesús Bonilla, Alba Hierro
Computer Methods in Applied Mechanics and Engineering, 2017
DOI

2016

Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling
Santiago Badia, Juan Vicente Gutiérrez-Santacreu
Journal of Scientific Computing, 2016
DOI / arXiv
A pseudo-compressible variational multiscale solver for turbulent incompressible flows
Liang Yang, Santiago Badia, Ramon Codina
Computational Mechanics, 2016
DOI
Shock capturing techniques for $hp$-adaptive finite elements
Alba Hierro, Santiago Badia, Pavel Kus
Computer Methods in Applied Mechanics and Engineering, 2016
DOI
Mixed finite element methods with convection stabilization for the large eddy simulation of incompressible turbulent flows
Oriol Colomés, Santiago Badia, Javier Príncipe
Computer Methods in Applied Mechanics and Engineering, 2016
DOI
Balancing Domain Decomposition by Constraints and Perturbation
Santiago Badia, Hieu Nguyen
SIAM Journal on Numerical Analysis, 2016
DOI
Multilevel Balancing Domain Decomposition at Extreme Scales
Santiago Badia, Alberto F. Martín, Javier Príncipe
SIAM Journal on Scientific Computing, 2016
DOI

2015

Segregated Runge-Kutta methods for the incompressible Navier-Stokes equations
Oriol Colomés, Santiago Badia
International Journal for Numerical Methods in Engineering, 2015
DOI
An approach to verification and validation of MHD codes for fusion applications
S. Smolentsev, S. Badia, R. Bhattacharyay, L. Bühler, L. Chen, Q. Huang, H.-G. Jin, D. Krasnov, D.-W. Lee, E. Mas de les Valls, C. Mistrangelo, R. Munipalli, M.-J. Ni, D. Pashkevich, A. Patel, G. Pulugundla, P. Satyamurthy, A. Snegirev, V. Sviridov, P. Swain, T. Zhou, O. Zikanov
Fusion Engineering and Design, 2015
DOI
On the scalability of inexact balancing domain decomposition by constraints with overlapped coarse/fine corrections
Santiago Badia, Alberto F. Martín, Javier Príncipe
Parallel Computing, 2015
DOI
On some time marching schemes for the stabilized finite element approximation of the mixed wave equation
Hector Espinoza, Ramon Codina, Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2015
DOI
Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows
Oriol Colomés, Santiago Badia, Ramon Codina, Javier Príncipe
Computer Methods in Applied Mechanics and Engineering, 2015
DOI
On discrete maximum principles for discontinuous Galerkin methods
Santiago Badia, Alba Hierro
Computer Methods in Applied Mechanics and Engineering, 2015
DOI

2014

A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form
Hector Espinoza, Ramon Codina, Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2014
DOI
Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics
Santiago Badia, Ramon Codina, Ramon Planas
Archives of Computational Methods in Engineering, 2014
DOI
Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form
Santiago Badia, Ramon Codina, Hector Espinoza
SIAM, 2014
DOI
A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints
Santiago Badia, Alberto F. Martín, Javier Príncipe
SIAM, 2014
DOI
Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem
Santiago Badia, Alberto F. Martín, Ramon Planas
Journal of Computational Physics, 2014
DOI
On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems
Santiago Badia, Alba Hierro
SIAM, 2014
DOI

2013

Convergence towards weak solutions of the Navier-Stokes equations for a finite element approximation with numerical subgrid-scale modelling
S. Badia, J. V. Gutiérrez-Santacreu
IMA, 2013
DOI
On the design of discontinuous Galerkin methods for elliptic problems based on hybrid formulations
Ramon Codina, Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2013
DOI
Enhanced balancing Neumann-Neumann preconditioning in computational fluid and solid mechanics
Santiago Badia, Alberto F. Martín, Javier Príncipe
International Journal for Numerical Methods in Engineering, 2013
DOI
Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations
Santiago Badia, Joan Baiges
SIAM, 2013
DOI
Implementation and Scalability Analysis of Balancing Domain Decomposition Methods
Santiago Badia, Alberto F. Martín, Javier Príncipe
Archives of Computational Methods in Engineering, 2013
DOI
On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
Santiago Badia, Ramon Codina, Ramon Planas
Journal of Computational Physics, 2013
DOI
Error analysis of discontinuous Galerkin methods for the Stokes problem under minimal regularity
S. Badia, R. Codina, T. Gudi, J. Guzman
IMA, 2013
DOI

2012

Stokes, Maxwell and Darcy: A single finite element approximation for three model problems
Santiago Badia, Ramon Codina
Applied Numerical Mathematics, 2012
DOI
Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections
Santiago Badia, Ramon Planas, Juan Vicente Gutiérrez-Santacreu
International Journal for Numerical Methods in Engineering, 2012
DOI
On stabilized finite element methods based on the Scott-Zhang projector. Circumventing the inf-sup condition for the Stokes problem
Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2012
DOI
A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions
Santiago Badia, Ramon Codina
SIAM, 2012
DOI

2011

A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem
Santiago Badia, Ramon Codina
Applied Mathematics and Computation, 2011
DOI
Approximation of the inductionless MHD problem using a stabilized finite element method
Ramon Planas, Santiago Badia, Ramon Codina
Journal of Computational Physics, 2011
DOI
An Overview on Numerical Analyses of Nematic Liquid Crystal Flows
S. Badia, F. Guillén-González, J. V. Gutiérrez-Santacreu
Archives of Computational Methods in Engineering, 2011
DOI
Finite element approximation of nematic liquid crystal flows using a saddle-point structure
Santiago Badia, Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
Journal of Computational Physics, 2011
DOI

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
Santiago Badia, Ramon Codina, Juan Vicente Gutiérrez-Santacreu
SIAM, 2010
DOI
Stabilized continuous and discontinuous Galerkin techniques for Darcy flow
Santiago Badia, Ramon Codina
Computer Methods in Applied Mechanics and Engineering, 2010
DOI

2009

On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space-time discretization
Santiago Badia, Ramon Codina
Applied Mathematics and Computation, 2009
DOI
Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems
Santiago Badia, Fabio Nobile, Christian Vergara
Computer Methods in Applied Mechanics and Engineering, 2009
DOI
Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
Santiago Badia, Ramon Codina
SIAM Journal on Numerical Analysis, 2009
DOI
Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
Santiago Badia, Annalisa Quaini, Alfio Quarteroni
Journal of Computational Physics, 2009
DOI

2008

Algebraic Pressure Segregation Methods for the Incompressible Navier-Stokes Equations
S. Badia, R. Codina
Archives of Computational Methods in Engineering, 2008
DOI
Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect
Santiago Badia, Annalisa Quaini, Alfio Quarteroni
Computer Methods in Applied Mechanics and Engineering, 2008
DOI
Pressure segregation methods based on a discrete pressure Poisson equation. An algebraic approach
Santiago Badia, Ramon Codina
International Journal for Numerical Methods in Fluids, 2008
DOI
On Atomistic-to-Continuum Coupling by Blending
Santiago Badia, Michael Parks, Pavel Bochev, Max Gunzburger, Richard Lehoucq
Multiscale Modeling & Simulation, 2008
DOI
Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction
Santiago Badia, Annalisa Quaini, Alfio Quarteroni
SIAM, 2008
DOI
Fluid-structure partitioned procedures based on Robin transmission conditions
Santiago Badia, Fabio Nobile, Christian Vergara
Journal of Computational Physics, 2008
DOI

2007

Convergence analysis of the FEM approximation of the first order projection method for incompressible flows with and without the inf-sup condition
Santiago Badia, Ramon Codina
Numerische Mathematik, 2007
DOI
Time dependent subscales in the stabilized finite element approximation of incompressible flow problems
Ramon Codina, Javier Príncipe, Oriol Guasch, Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2007
DOI
Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force
Jacob Fish, Mohan A. Nuggehally, Mark S. Shephard, Catalin R. Picu, Santiago Badia, Michael L. Parks, Max Gunzburger
Computer Methods in Applied Mechanics and Engineering, 2007
DOI
On some fluid-structure iterative algorithms using pressure segregation methods. Application to aeroelasticity
Santiago Badia, Ramon Codina
International Journal for Numerical Methods in Engineering, 2007
DOI
A Force-Based Blending Model forAtomistic-to-Continuum Coupling
S. Badia, P. Bochev, R. Lehoucq, M. L. Parks, Jacob Fish, Mohan A. Nuggehally, M. Gunzburger
International Journal for Multiscale Computational Engineering, 2007
DOI

2006

On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems
Ramon Codina, Santiago Badia
Computer Methods in Applied Mechanics and Engineering, 2006
DOI
Analysis of a Stabilized Finite Element Approximation of the Transient Convection-Diffusion Equation Using an ALE Framework
Santiago Badia, Ramon Codina
SIAM, 2006
DOI