Santiago Badia

113 papers Journal 112Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A natural language framework for non-conforming hybrid polytopal methods in Gridap.jl. CoRR Jordi Manyer, Jai Tushar, Santiago Badia
2026	J	`jnl`	A tensor-train reduced basis solver for parameterized partial differential equations on Cartesian grids. J. Comput. Appl. Math. Nicholas Mueller, Yiran Zhao, Santiago Badia, Tiangang Cui
2026	J	`jnl`	Analysis of BDDC Preconditioners for Nonconforming Polytopal Hybrid Discretization Methods. SIAM J. Numer. Anal. Santiago Badia, Jérôme Droniou, Jordi Manyer, Jai Tushar
2026	J	`jnl`	Divergence-free unfitted finite element discretisations for the Darcy problem. CoRR Santiago Badia, Anne Boschman, Alberto F. Martín, Erik Nilsson, Ricardo Ruiz-Baier, Sara Zahedi
2026	J	`jnl`	Four-field mixed finite elements for incompressible nonlinear elasticity. CoRR Santiago Badia, Wei Li, Ricardo Ruiz-Baier
2026	J	`jnl`	Geometric Multigrid solvers for Hybrid High-Order methods on polytopal meshes. CoRR Santiago Badia, Jordi Manyer
2026	J	`jnl`	GridapROMs.jl: Efficient reduced order modelling in the Julia programming language. Comput. Phys. Commun. Nicholas Mueller, Santiago Badia
2026	J	`jnl`	Unfitted finite element interpolated neural networks. J. Comput. Phys. Wei Li, Alberto F. Martín, Santiago Badia
2025	J	`jnl`	A convergence framework for energy minimisation of linear self-adjoint elliptic PDEs in nonlinear approximation spaces. CoRR Alexandre Magueresse, Santiago Badia
2025	J	`jnl`	A framework for efficient reduced order modelling in the Julia programming language. CoRR Nicholas Mueller, Santiago Badia
2025	J	`jnl`	Analysis of BDDC preconditioners for non-conforming polytopal hybrid discretisation methods. CoRR Santiago Badia, Jérôme Droniou, Jordi Manyer, Jai Tushar
2025	J	`jnl`	Energy and entropy conserving compatible finite elements with upwinding for the thermal shallow water equations. J. Comput. Phys. Tamara A. Tambyah, David Lee, Santiago Badia
2025	J	`jnl`	Energy minimisation using overlapping tensor-product free-knot B-splines. CoRR Alexandre Magueresse, Santiago Badia
2025	J	`jnl`	Level-set topology optimisation with unfitted finite elements and automatic shape differentiation. CoRR Zachary J. Wegert, Jordi Manyer, Connor N. Mallon, Santiago Badia, Vivien J. Challis
2025	J	`jnl`	Non-augmented velocity-vorticity-pressure formulation for the Navier-Stokes-Brinkman-Forchheimer problem. CoRR Santiago Badia, Carsten Carstensen, Alberto F. Martín, Ricardo Ruiz-Baier, Segundo Villa-Fuentes
2025	J	`jnl`	Reduced basis solvers for unfitted methods on parameterized domains. CoRR Nicholas Mueller, Santiago Badia, Yiran Zhao
2025	J	`jnl`	STLCutters.jl: A scalable geometrical framework library for unfitted finite element discretisations. Comput. Phys. Commun. Pere A. Martorell, Santiago Badia
2025	J	`jnl`	Unfitted finite element interpolated neural networks. CoRR Wei Li, Alberto F. Martín, Santiago Badia
2024	J	`jnl`	A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations. Comput. Math. Appl. David Lee, Alberto F. Martín, Christopher Bladwell, Santiago Badia
2024	J	`jnl`	A discrete trace theory for non-conforming polytopal hybrid discretisation methods. CoRR Santiago Badia, Jérôme Droniou, Jai Tushar
2024	J	`jnl`	A tensor-train reduced basis solver for parameterized partial differential equations. CoRR Nicholas Mueller, Yiran Zhao, Santiago Badia, Tiangang Cui
2024	J	`jnl`	Adaptive Finite Element Interpolated Neural Networks. CoRR Santiago Badia, Wei Li, Alberto F. Martín
2024	J	`jnl`	Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks. Comput. Math. Appl. Alexandre Magueresse, Santiago Badia
2024	J	`jnl`	Compatible finite element interpolated neural networks. CoRR Santiago Badia, Wei Li, Alberto F. Martín
2024	J	`jnl`	Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. Comput. Math. Appl. Santiago Badia, Martin Hornkjøl, Arbaz Khan, Kent-André Mardal, Alberto F. Martín, Ricardo Ruiz-Baier
2024	J	`jnl`	GridapSolvers.jl: Scalable multiphysics finite element solvers in Julia. J. Open Source Softw. Jordi Manyer, Alberto F. Martín, Santiago Badia
2024	J	`jnl`	GridapTopOpt.jl: A scalable Julia toolbox for level set-based topology optimisation. CoRR Zachary J. Wegert, Jordi Manyer, Connor N. Mallon, Santiago Badia, Vivien J. Challis
2024	J	`jnl`	High order unfitted finite element discretizations for explicit boundary representations. J. Comput. Phys. Pere A. Martorell, Santiago Badia
2024	J	`jnl`	Model order reduction with novel discrete empirical interpolation methods in space-time. J. Comput. Appl. Math. Nicholas Mueller, Santiago Badia
2024	J	`jnl`	STLCutters.jl: A scalable geometrical framework library for unfitted finite element discretisations. CoRR Pere A. Martorell, Santiago Badia
2024	J	`jnl`	Space-time unfitted finite elements on moving explicit geometry representations. CoRR Santiago Badia, Pere A. Martorell, Francesc Verdugo
2023	J	`jnl`	A massively parallel implementation of multilevel Monte Carlo for finite element models. Math. Comput. Simul. Santiago Badia, Jerrad Hampton, Javier Principe
2023	J	`jnl`	Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks. CoRR Alexandre Magueresse, Santiago Badia
2023	J	`jnl`	Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. CoRR Santiago Badia, Martin Hornkjøl, Arbaz Khan, Kent-André Mardal, Alberto F. Martín, Ricardo Ruiz-Baier
2023	J	`jnl`	Finite element interpolated neural networks for solving forward and inverse problems. CoRR Santiago Badia, Wei Li, Alberto F. Martín
2023	J	`jnl`	High order unfitted finite element discretizations for explicit boundary representations. CoRR Pere A. Martorell, Santiago Badia
2023	J	`jnl`	Model order reduction with novel discrete empirical interpolation methods in space-time. CoRR Nicholas Mueller, Santiago Badia
2023	J	`jnl`	Neural Level Set Topology Optimization Using Unfitted Finite Elements. CoRR Connor N. Mallon, Aaron W. Thornton, Matthew R. Hill, Santiago Badia
2023	J	`jnl`	Space-time unfitted finite element methods for time-dependent problems on moving domains. Comput. Math. Appl. Santiago Badia, Hridya Dilip, Francesc Verdugo
2022	J	`jnl`	A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations in space and time. CoRR David Lee, Alberto F. Martín, Christopher Bladwell, Santiago Badia
2022	J	`jnl`	Bound-preserving finite element approximations of the Keller-Segel equations. CoRR Santiago Badia, Jesús Bonilla, Juan Vicente Gutiérrez-Santacreu
2022	J	`jnl`	Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces. J. Sci. Comput. Santiago Badia, Jérôme Droniou, Liam Yemm
2022	J	`jnl`	Geometrical discretisations for unfitted finite elements on explicit boundary representations. J. Comput. Phys. Santiago Badia, Pere A. Martorell, Francesc Verdugo
2022	J	`jnl`	GridapDistributed: a massively parallel finite element toolbox in Julia. J. Open Source Softw. Santiago Badia, Alberto F. Martín, Francesc Verdugo
2022	J	`jnl`	Robust high-order unfitted finite elements by interpolation-based discrete extension. Comput. Math. Appl. Santiago Badia, Eric Neiva, Francesc Verdugo
2022	J	`jnl`	Robust high-order unfitted finite elements by interpolation-based discrete extension. CoRR Santiago Badia, Eric Neiva, Francesc Verdugo
2022	J	`jnl`	Space-time aggregated finite element methods for time-dependent problems on moving domains. CoRR Santiago Badia, Hridya Dilip, Francesc Verdugo
2022	J	`jnl`	Stability and conditioning of immersed finite element methods: analysis and remedies. CoRR Frits de Prenter, Clemens Verhoosel, Harald van Brummelen, Mats G. Larson, Santiago Badia
2022	J	`jnl`	The software design of Gridap: A Finite Element package based on the Julia JIT compiler. Comput. Phys. Commun. Francesc Verdugo, Santiago Badia
2021	J	`jnl`	A Massively Parallel Implementation of Multilevel Monte Carlo for Finite Element Models. CoRR Santiago Badia, Jerrad Hampton, Javier Principe
2021	J	`jnl`	Conditioning of a Hybrid High-Order scheme on meshes with small faces. CoRR Santiago Badia, Jérôme Droniou, Liam Yemm
2021	J	`jnl`	Geometrical discretisations for unfitted finite elements on explicit boundary representations. CoRR Santiago Badia, Pere A. Martorell, Francesc Verdugo
2021	J	`jnl`	Linking ghost penalty and aggregated unfitted methods. CoRR Santiago Badia, Eric Neiva, Francesc Verdugo
2021	J	`jnl`	The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes. SIAM J. Sci. Comput. Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
2021	J	`jnl`	The software design of Gridap: a Finite Element package based on the Julia JIT compiler. CoRR Francesc Verdugo, Santiago Badia
2020	J	`jnl`	A Generic Finite Element Framework on Parallel Tree-Based Adaptive Meshes. SIAM J. Sci. Comput. Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
2020	J	`jnl`	A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics. CoRR Santiago Badia, Manuel Caicedo, Alberto F. Martín, Javier Principe
2020	J	`jnl`	A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0. Comput. Phys. Commun. Santiago Badia, Alberto F. Martín
2020	J	`jnl`	Balancing domain decomposition by constraints associated with subobjects. CoRR Santiago Badia, Alberto F. Martín, Hieu Nguyen
2020	J	`jnl`	Gridap: An extensible Finite Element toolbox in Julia. J. Open Source Softw. Santiago Badia, Francesc Verdugo
2020	J	`jnl`	Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems. J. Comput. Phys. Jesús Bonilla, Santiago Badia
2020	J	`jnl`	Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems. CoRR Eric Neiva, Santiago Badia
2020	J	`jnl`	The aggregated unfitted finite element method on parallel tree-based adaptive meshes. CoRR Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
2019	J	`jnl`	A generic finite element framework on parallel tree-based adaptive meshes. CoRR Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo
2019	J	`jnl`	A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0. CoRR Santiago Badia, Alberto F. Martín
2019	J	`jnl`	A user-guide to Gridap - grid-based approximation of partial differential equations in Julia. CoRR Francesc Verdugo, Santiago Badia
2019	J	`jnl`	Balancing domain decomposition by constraints associated with subobjects. Appl. Math. Lett. Santiago Badia, Alberto F. Martín, Hieu Nguyen
2019	J	`jnl`	Distributed-memory parallelization of the aggregated unfitted finite element method. CoRR Francesc Verdugo, Alberto F. Martín, Santiago Badia
2019	J	`jnl`	Embedded multilevel Monte Carlo for uncertainty quantification in random domains. CoRR Santiago Badia, Jerrad Hampton, Javier Principe
2019	J	`jnl`	Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems. CoRR Jesús Bonilla, Santiago Badia
2019	J	`jnl`	On a general implementation of Adv. Eng. Softw. Marc Olm, Santiago Badia, Alberto F. Martín
2019	J	`jnl`	On differentiable local bounds preserving stabilization for Euler equations. CoRR Santiago Badia, Jesús Bonilla, Sibusiso Mabuza, John N. Shadid
2019	J	`jnl`	Physics-Based Balancing Domain Decomposition by Constraints for Multi-Material Problems. J. Sci. Comput. Santiago Badia, Alberto F. Martín, Hieu Nguyen
2019	J	`jnl`	Scalable solvers for complex electromagnetics problems. CoRR Santiago Badia, Alberto F. Martín, Marc Olm
2019	J	`jnl`	Simulation of High Temperature Superconductors and experimental validation. Comput. Phys. Commun. Marc Olm, Santiago Badia, Alberto F. Martín
2018	J	`jnl`	A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing. CoRR Eric Neiva, Santiago Badia, Alberto F. Martín, Michele Chiumenti
2018	J	`jnl`	Editorial: Algorithmic Aspects of High-Performance Computing for Mechanics and Physics. J. Comput. Appl. Math. Victor M. Calo, Santiago Badia, Javier Principe
2018	J	`jnl`	Maximum-principle preserving space-time isogeometric analysis. CoRR Jesús Bonilla, Santiago Badia
2018	J	`jnl`	Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem. SIAM J. Sci. Comput. Santiago Badia, Alberto F. Martín, Francesc Verdugo
2018	J	`jnl`	Nonlinear parallel-in-time Schur complement solvers for ordinary differential equations. J. Comput. Appl. Math. Santiago Badia, Marc Olm
2018	J	`jnl`	Numerical modelling of heat transfer and experimental validation in Powder-Bed Fusion with the Virtual Domain Approximation. CoRR Eric Neiva, Michele Chiumenti, Miguel Cervera, Emilio Salsi, Gabriele Piscopo, Santiago Badia, Alberto F. Martín, Zhuoer Chen, Caroline Lee, Christopher Davies
2018	J	`jnl`	Robust and scalable domain decomposition solvers for unfitted finite element methods. J. Comput. Appl. Math. Santiago Badia, Francesc Verdugo
2017	J	`jnl`	Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling. J. Sci. Comput. Santiago Badia, Juan Vicente Gutiérrez-Santacreu
2017	J	`jnl`	FEMPAR: An object-oriented parallel finite element framework. CoRR Santiago Badia, Alberto F. Martín, Javier Principe
2017	J	`jnl`	Simulation of high temperature superconductors and experimental validation. CoRR Marc Olm, Santiago Badia, Alberto F. Martín
2017	J	`jnl`	Space-Time Balancing Domain Decomposition. SIAM J. Sci. Comput. Santiago Badia, Marc Olm
2017	J	`jnl`	Space-time balancing domain decomposition. CoRR Santiago Badia, Marc Olm
2017	J	`jnl`	The aggregated unfitted finite element method for elliptic problems. CoRR Santiago Badia, Francesc Verdugo, Alberto F. Martín
2016	J	`jnl`	Balancing Domain Decomposition by Constraints and Perturbation. SIAM J. Numer. Anal. Santiago Badia, Hieu Nguyen
2016	J	`jnl`	Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes. CoRR Santiago Badia, Jesús Bonilla, Alba Hierro
2016	J	`jnl`	Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization. CoRR Santiago Badia, Jesús Bonilla
2016	J	`jnl`	Multilevel Balancing Domain Decomposition at Extreme Scales. SIAM J. Sci. Comput. Santiago Badia, Alberto F. Martín, Javier Principe
2015	J	`jnl`	On the scalability of inexact balancing domain decomposition by constraints with overlapped coarse/fine corrections. Parallel Comput. Santiago Badia, Alberto F. Martín, Javier Principe
2014	J	`jnl`	A Highly Scalable Parallel Implementation of Balancing Domain Decomposition by Constraints. SIAM J. Sci. Comput. Santiago Badia, Alberto F. Martín, Javier Principe
2014	J	`jnl`	Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem. J. Comput. Phys. Santiago Badia, Alberto F. Martín, Ramon Planas
2014	J	`jnl`	On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems. SIAM J. Sci. Comput. Santiago Badia, Alba Hierro
2014	J	`jnl`	Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form. SIAM J. Numer. Anal. Santiago Badia, Ramon Codina, Hector Espinoza
2013	J	`jnl`	Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations. SIAM J. Sci. Comput. Santiago Badia, Joan Baiges
2013	J	`jnl`	On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics. J. Comput. Phys. Santiago Badia, Ramon Codina, Ramon Planas
2012	J	`jnl`	A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions. SIAM J. Numer. Anal. Santiago Badia, Ramon Codina
2011	J	`jnl`	A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem. Appl. Math. Comput. Santiago Badia, Ramon Codina
2011	J	`jnl`	Approximation of the inductionless MHD problem using a stabilized finite element method. J. Comput. Phys. Ramon Planas, Santiago Badia, Ramon Codina
2011	J	`jnl`	Finite element approximation of nematic liquid crystal flows using a saddle-point structure. J. Comput. Phys. Santiago Badia, Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
2010	J	`jnl`	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. Santiago Badia, Ramon Codina, Juan Vicente Gutiérrez-Santacreu
2009	J	`jnl`	Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction. J. Comput. Phys. Santiago Badia, Annalisa Quaini, Alfio Quarteroni
2009	J	`jnl`	On a multiscale approach to the transient Stokes problem: Dynamic subscales and anisotropic space-time discretization. Appl. Math. Comput. Santiago Badia, Ramon Codina
2009	J	`jnl`	Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems. SIAM J. Numer. Anal. Santiago Badia, Ramon Codina
2008	J	`jnl`	Fluid-structure partitioned procedures based on Robin transmission conditions. J. Comput. Phys. Santiago Badia, Fabio Nobile, Christian Vergara
2008	J	`jnl`	On Atomistic-to-Continuum Coupling by Blending. Multiscale Model. Simul. Santiago Badia, Michael L. Parks, Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq
2008	J	`jnl`	Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction. SIAM J. Sci. Comput. Santiago Badia, Annalisa Quaini, Alfio Quarteroni
2007	—	`conf`	Bridging Methods for Coupling Atomistic and Continuum Models. LSSC Santiago Badia, Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq, Michael L. Parks
2007	J	`jnl`	Convergence analysis of the FEM approximation of the first order projection method for incompressible flows with and without the inf-sup condition. Numerische Mathematik Santiago Badia, Ramon Codina
2006	J	`jnl`	Analysis of a Stabilized Finite Element Approximation of the Transient Convection-Diffusion Equation Using an ALE Framework. SIAM J. Numer. Anal. Santiago Badia, Ramon Codina