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ORCIDSantiago Badia
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2020 – today
- 2024
[j49]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: 173-194 (2024)- [j48]Alexandre Magueresse, Santiago Badia:
Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks. Comput. Math. Appl. 162: 1-21 (2024) - [j47]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: 150-162 (2024) - [j46]Nicholas Mueller, Santiago Badia:
Model order reduction with novel discrete empirical interpolation methods in space-time. J. Comput. Appl. Math. 444: 115767 (2024) - [j45]Pere A. Martorell, Santiago Badia:
High order unfitted finite element discretizations for explicit boundary representations. J. Comput. Phys. 511: 113127 (2024) - [i41]Santiago Badia, Pere A. Martorell, Francesc Verdugo:
Space-time unfitted finite elements on moving explicit geometry representations. CoRR abs/2401.12649 (2024) - [i40]Santiago Badia, Wei Li, Alberto F. Martín:
Adaptive Finite Element Interpolated Neural Networks. CoRR abs/2403.14054 (2024) - [i39]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 abs/2405.10478 (2024) - [i38]Santiago Badia, Jérôme Droniou, Jai Tushar:
A discrete trace theory for non-conforming polytopal hybrid discretisation methods. CoRR abs/2409.15863 (2024) - 2023
- [j44]Santiago Badia, Hridya Dilip, Francesc Verdugo:
Space-time unfitted finite element methods for time-dependent problems on moving domains. Comput. Math. Appl. 135: 60-76 (2023) - [j43]Santiago Badia, Jerrad Hampton, Javier Principe:
A massively parallel implementation of multilevel Monte Carlo for finite element models. Math. Comput. Simul. 213: 18-39 (2023) - [i37]Alexandre Magueresse, Santiago Badia:
Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks. CoRR abs/2303.11617 (2023) - [i36]Connor N. Mallon, Aaron W. Thornton, Matthew R. Hill, Santiago Badia:
Neural Level Set Topology Optimization Using Unfitted Finite Elements. CoRR abs/2303.13672 (2023) - [i35]Santiago Badia, Wei Li, Alberto F. Martín:
Finite element interpolated neural networks for solving forward and inverse problems. CoRR abs/2306.06304 (2023) - [i34]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. CoRR abs/2306.11213 (2023) - [i33]Nicholas Mueller, Santiago Badia:
Model order reduction with novel discrete empirical interpolation methods in space-time. CoRR abs/2307.10605 (2023) - [i32]Pere A. Martorell, Santiago Badia:
High order unfitted finite element discretizations for explicit boundary representations. CoRR abs/2311.14363 (2023) - 2022
- [j42]Santiago Badia, Eric Neiva, Francesc Verdugo:
Robust high-order unfitted finite elements by interpolation-based discrete extension. Comput. Math. Appl. 127: 105-126 (2022) - [j41]Francesc Verdugo, Santiago Badia:
The software design of Gridap: A Finite Element package based on the Julia JIT compiler. Comput. Phys. Commun. 276: 108341 (2022) - [j40]Santiago Badia, Pere A. Martorell, Francesc Verdugo:
Geometrical discretisations for unfitted finite elements on explicit boundary representations. J. Comput. Phys. 460: 111162 (2022) - [j39]Santiago Badia, Alberto F. Martín, Francesc Verdugo:
GridapDistributed: a massively parallel finite element toolbox in Julia. J. Open Source Softw. 7(74): 4157 (2022) - [j38]Santiago Badia, Jérôme Droniou, Liam Yemm:
Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces. J. Sci. Comput. 92(2): 71 (2022) - [i31]Santiago Badia, Eric Neiva, Francesc Verdugo:
Robust high-order unfitted finite elements by interpolation-based discrete extension. CoRR abs/2201.06632 (2022) - [i30]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 abs/2203.04629 (2022) - [i29]Santiago Badia, Hridya Dilip, Francesc Verdugo:
Space-time aggregated finite element methods for time-dependent problems on moving domains. CoRR abs/2206.03626 (2022) - [i28]Santiago Badia, Jesús Bonilla, Juan Vicente Gutiérrez-Santacreu:
Bound-preserving finite element approximations of the Keller-Segel equations. CoRR abs/2207.10975 (2022) - [i27]Frits de Prenter, Clemens Verhoosel, Harald van Brummelen, Mats G. Larson, Santiago Badia:
Stability and conditioning of immersed finite element methods: analysis and remedies. CoRR abs/2208.08538 (2022) - 2021
- [j37]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): C203-C234 (2021) - [i26]Santiago Badia, Eric Neiva, Francesc Verdugo:
Linking ghost penalty and aggregated unfitted methods. CoRR abs/2106.13728 (2021) - [i25]Santiago Badia, Jérôme Droniou, Liam Yemm:
Conditioning of a Hybrid High-Order scheme on meshes with small faces. CoRR abs/2109.09983 (2021) - [i24]Francesc Verdugo, Santiago Badia:
The software design of Gridap: a Finite Element package based on the Julia JIT compiler. CoRR abs/2109.12818 (2021) - [i23]Santiago Badia, Pere A. Martorell, Francesc Verdugo:
Geometrical discretisations for unfitted finite elements on explicit boundary representations. CoRR abs/2110.01378 (2021) - [i22]Santiago Badia, Jerrad Hampton, Javier Principe:
A Massively Parallel Implementation of Multilevel Monte Carlo for Finite Element Models. CoRR abs/2111.11788 (2021) - 2020
- [j36]Santiago Badia, Alberto F. Martín:
A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0. Comput. Phys. Commun. 248: 107059 (2020) - [j35]Jesús Bonilla, Santiago Badia:
Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems. J. Comput. Phys. 416: 109522 (2020) - [j34]Santiago Badia, Francesc Verdugo:
Gridap: An extensible Finite Element toolbox in Julia. J. Open Source Softw. 5(52): 2520 (2020) - [j33]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): C436-C468 (2020) - [i21]Santiago Badia, Alberto F. Martín, Hieu Nguyen:
Balancing domain decomposition by constraints associated with subobjects. CoRR abs/2001.07289 (2020) - [i20]Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo:
The aggregated unfitted finite element method on parallel tree-based adaptive meshes. CoRR abs/2006.05373 (2020) - [i19]Eric Neiva, Santiago Badia:
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems. CoRR abs/2006.11042 (2020) - [i18]Santiago Badia, Manuel Caicedo, Alberto F. Martín, Javier Principe:
A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics. CoRR abs/2012.00280 (2020)
2010 – 2019
- 2019
- [j32]Marc Olm, Santiago Badia, Alberto F. Martín:
On a general implementation of h- and p-adaptive curl-conforming finite elements. Adv. Eng. Softw. 132: 74-91 (2019) - [j31]Santiago Badia, Alberto F. Martín, Hieu Nguyen:
Balancing domain decomposition by constraints associated with subobjects. Appl. Math. Lett. 87: 93-100 (2019) - [j30]Marc Olm, Santiago Badia, Alberto F. Martín:
Simulation of High Temperature Superconductors and experimental validation. Comput. Phys. Commun. 237: 154-167 (2019) - [j29]Santiago Badia, Alberto F. Martín, Hieu Nguyen:
Physics-Based Balancing Domain Decomposition by Constraints for Multi-Material Problems. J. Sci. Comput. 79(2): 718-747 (2019) - [i17]Santiago Badia, Alberto F. Martín, Marc Olm:
Scalable solvers for complex electromagnetics problems. CoRR abs/1901.08783 (2019) - [i16]Francesc Verdugo, Alberto F. Martín, Santiago Badia:
Distributed-memory parallelization of the aggregated unfitted finite element method. CoRR abs/1902.01168 (2019) - [i15]Santiago Badia, Alberto F. Martín, Eric Neiva, Francesc Verdugo:
A generic finite element framework on parallel tree-based adaptive meshes. CoRR abs/1907.03709 (2019) - [i14]Santiago Badia, Alberto F. Martín:
A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0. CoRR abs/1908.00891 (2019) - [i13]Francesc Verdugo, Santiago Badia:
A user-guide to Gridap - grid-based approximation of partial differential equations in Julia. CoRR abs/1910.01412 (2019) - [i12]Santiago Badia, Jesús Bonilla, Sibusiso Mabuza, John N. Shadid:
On differentiable local bounds preserving stabilization for Euler equations. CoRR abs/1911.06792 (2019) - [i11]Santiago Badia, Jerrad Hampton, Javier Principe:
Embedded multilevel Monte Carlo for uncertainty quantification in random domains. CoRR abs/1911.11965 (2019) - [i10]Jesús Bonilla, Santiago Badia:
Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems. CoRR abs/1912.11487 (2019) - 2018
- [j28]Victor M. Calo, Santiago Badia, Javier Principe:
Editorial: Algorithmic Aspects of High-Performance Computing for Mechanics and Physics. J. Comput. Appl. Math. 344: 739 (2018) - [j27]Santiago Badia, Francesc Verdugo:
Robust and scalable domain decomposition solvers for unfitted finite element methods. J. Comput. Appl. Math. 344: 740-759 (2018) - [j26]Santiago Badia, Marc Olm:
Nonlinear parallel-in-time Schur complement solvers for ordinary differential equations. J. Comput. Appl. Math. 344: 794-806 (2018) - [j25]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): B1541-B1576 (2018) - [i9]Eric Neiva, Santiago Badia, Alberto F. Martín, Michele Chiumenti:
A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing. CoRR abs/1810.03506 (2018) - [i8]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 abs/1811.12372 (2018) - [i7]Jesús Bonilla, Santiago Badia:
Maximum-principle preserving space-time isogeometric analysis. CoRR abs/1812.05442 (2018) - 2017
- [j24]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): 386-413 (2017) - [j23]Santiago Badia, Marc Olm:
Space-Time Balancing Domain Decomposition. SIAM J. Sci. Comput. 39(2) (2017) - [i6]Santiago Badia, Marc Olm:
Space-time balancing domain decomposition. CoRR abs/1701.03477 (2017) - [i5]Marc Olm, Santiago Badia, Alberto F. Martín:
Simulation of high temperature superconductors and experimental validation. CoRR abs/1707.09783 (2017) - [i4]Santiago Badia, Alberto F. Martín, Javier Principe:
FEMPAR: An object-oriented parallel finite element framework. CoRR abs/1708.01773 (2017) - [i3]Santiago Badia, Francesc Verdugo, Alberto F. Martín:
The aggregated unfitted finite element method for elliptic problems. CoRR abs/1709.09122 (2017) - 2016
- [j22]Santiago Badia, Hieu Nguyen:
Balancing Domain Decomposition by Constraints and Perturbation. SIAM J. Numer. Anal. 54(6): 3436-3464 (2016) - [j21]Santiago Badia, Alberto F. Martín, Javier Principe:
Multilevel Balancing Domain Decomposition at Extreme Scales. SIAM J. Sci. Comput. 38(1) (2016) - [i2]Santiago Badia, Jesús Bonilla:
Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization. CoRR abs/1606.08743 (2016) - [i1]Santiago Badia, Jesús Bonilla, Alba Hierro:
Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes. CoRR abs/1612.08686 (2016) - 2015
- [j20]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: 1-24 (2015) - 2014
- [j19]Santiago Badia, Alberto F. Martín, Ramon Planas:
Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem. J. Comput. Phys. 274: 562-591 (2014) - [j18]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): 1729-1752 (2014) - [j17]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) - [j16]Santiago Badia, Alba Hierro:
On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j15]Santiago Badia, Ramon Codina, Ramon Planas:
On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics. J. Comput. Phys. 234: 399-416 (2013) - [j14]Santiago Badia, Joan Baiges:
Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations. SIAM J. Sci. Comput. 35(1) (2013) - 2012
- [j13]Santiago Badia, Ramon Codina:
A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions. SIAM J. Numer. Anal. 50(2): 398-417 (2012) - 2011
- [j12]Santiago Badia, Ramon Codina:
A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem. Appl. Math. Comput. 218(8): 4276-4294 (2011) - [j11]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): 1686-1706 (2011) - [j10]Ramon Planas, Santiago Badia, Ramon Codina:
Approximation of the inductionless MHD problem using a stabilized finite element method. J. Comput. Phys. 230(8): 2977-2996 (2011) - 2010
- [j9]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): 1013-1037 (2010)
2000 – 2009
- 2009
- [j8]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): 415-433 (2009) - [j7]Santiago Badia, Annalisa Quaini, Alfio Quarteroni:
Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction. J. Comput. Phys. 228(21): 7986-8014 (2009) - [j6]Santiago Badia, Ramon Codina:
Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems. SIAM J. Numer. Anal. 47(3): 1971-2000 (2009) - 2008
- [j5]Santiago Badia, Fabio Nobile, Christian Vergara:
Fluid-structure partitioned procedures based on Robin transmission conditions. J. Comput. Phys. 227(14): 7027-7051 (2008) - [j4]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): 381-406 (2008) - [j3]Santiago Badia, Annalisa Quaini, Alfio Quarteroni:
Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction. SIAM J. Sci. Comput. 30(4): 1778-1805 (2008) - 2007
- [j2]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): 533-557 (2007) - [c1]Santiago Badia, Pavel B. Bochev, Max D. Gunzburger, Richard B. Lehoucq, Michael L. Parks:
Bridging Methods for Coupling Atomistic and Continuum Models. LSSC 2007: 16-27 - 2006
- [j1]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): 2159-2197 (2006)
Coauthor Index
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