Badia, Santiago; Li, Wei; Martín, Alberto F. Finite element interpolated neural networks for solving forward and inverse problems. (English) Zbl 07822151 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116505, 21 p. (2024). MSC: 65-XX 82-XX PDFBibTeX XMLCite \textit{S. Badia} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116505, 21 p. (2024; Zbl 07822151) Full Text: DOI arXiv
Badia, Santiago; Dilip, Hridya; Verdugo, Francesc Space-time unfitted finite element methods for time-dependent problems on moving domains. (English) Zbl 07667335 Comput. Math. Appl. 135, 60-76 (2023). MSC: 65N30 74S05 76M10 65N55 65N50 PDFBibTeX XMLCite \textit{S. Badia} et al., Comput. Math. Appl. 135, 60--76 (2023; Zbl 07667335) Full Text: DOI arXiv
Verdugo, Francesc; Badia, Santiago The software design of gridap: a finite element package based on the Julia JIT compiler. (English) Zbl 1516.65162 Comput. Phys. Commun. 276, Article ID 108341, 24 p. (2022). MSC: 65Y15 65N30 PDFBibTeX XMLCite \textit{F. Verdugo} and \textit{S. Badia}, Comput. Phys. Commun. 276, Article ID 108341, 24 p. (2022; Zbl 1516.65162) Full Text: DOI arXiv
Badia, Santiago; Neiva, Eric; Verdugo, Francesc Robust high-order unfitted finite elements by interpolation-based discrete extension. (English) Zbl 1524.65749 Comput. Math. Appl. 127, 105-126 (2022). MSC: 65N30 65N12 65N15 76M10 74S05 74B10 PDFBibTeX XMLCite \textit{S. Badia} et al., Comput. Math. Appl. 127, 105--126 (2022; Zbl 1524.65749) Full Text: DOI arXiv
Badia, Santiago; Martorell, Pere A.; Verdugo, Francesc Geometrical discretisations for unfitted finite elements on explicit boundary representations. (English) Zbl 07525153 J. Comput. Phys. 460, Article ID 111162, 23 p. (2022). MSC: 65Nxx 65Yxx 74Sxx PDFBibTeX XMLCite \textit{S. Badia} et al., J. Comput. Phys. 460, Article ID 111162, 23 p. (2022; Zbl 07525153) Full Text: DOI arXiv
Badia, Santiago; Neiva, Eric; Verdugo, Francesc Linking ghost penalty and aggregated unfitted methods. (English) Zbl 1507.65231 Comput. Methods Appl. Mech. Eng. 388, Article ID 114232, 23 p. (2022). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{S. Badia} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114232, 23 p. (2022; Zbl 1507.65231) Full Text: DOI arXiv
Badia, Santiago; Caicedo, Manuel A.; Martín, Alberto F.; Principe, Javier A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics. (English) Zbl 1507.74446 Comput. Methods Appl. Mech. Eng. 386, Article ID 114093, 23 p. (2021). MSC: 74S05 65N30 74C05 PDFBibTeX XMLCite \textit{S. Badia} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114093, 23 p. (2021; Zbl 1507.74446) Full Text: DOI arXiv
Neiva, Eric; Badia, Santiago Robust and scalable \(h\)-adaptive aggregated unfitted finite elements for interface elliptic problems. (English) Zbl 1506.65221 Comput. Methods Appl. Mech. Eng. 380, Article ID 113769, 26 p. (2021). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{E. Neiva} and \textit{S. Badia}, Comput. Methods Appl. Mech. Eng. 380, Article ID 113769, 26 p. (2021; Zbl 1506.65221) Full Text: DOI arXiv
Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc The aggregated unfitted finite element method on parallel tree-based adaptive meshes. (English) Zbl 1472.65141 SIAM J. Sci. Comput. 43, No. 3, C203-C234 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65N50 65Y05 65Y20 PDFBibTeX XMLCite \textit{S. Badia} et al., SIAM J. Sci. Comput. 43, No. 3, C203--C234 (2021; Zbl 1472.65141) Full Text: DOI arXiv
Badia, Santiago; Martín, Alberto F. A tutorial-driven introduction to the parallel finite element library FEMPAR V1.0.0. (English) Zbl 07678485 Comput. Phys. Commun. 248, Article ID 107059, 24 p. (2020). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{S. Badia} and \textit{A. F. Martín}, Comput. Phys. Commun. 248, Article ID 107059, 24 p. (2020; Zbl 07678485) Full Text: DOI arXiv
Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc A generic finite element framework on parallel tree-based adaptive meshes. (English) Zbl 07328656 SIAM J. Sci. Comput. 42, No. 6, C436-C468 (2020). MSC: 65Y05 65Y20 65N30 65M50 PDFBibTeX XMLCite \textit{S. Badia} et al., SIAM J. Sci. Comput. 42, No. 6, C436--C468 (2020; Zbl 07328656) Full Text: DOI arXiv
Olm, Marc; Badia, Santiago; Martín, Alberto F. Simulation of high temperature superconductors and experimental validation. (English) Zbl 07683938 Comput. Phys. Commun. 237, 154-167 (2019). MSC: 76-XX 78-XX PDFBibTeX XMLCite \textit{M. Olm} et al., Comput. Phys. Commun. 237, 154--167 (2019; Zbl 07683938) Full Text: DOI arXiv
Badia, Santiago; Verdugo, Francesc; Martín, Alberto F. The aggregated unfitted finite element method for elliptic problems. (English) Zbl 1440.65175 Comput. Methods Appl. Mech. Eng. 336, 533-553 (2018). MSC: 65N30 65N38 PDFBibTeX XMLCite \textit{S. Badia} et al., Comput. Methods Appl. Mech. Eng. 336, 533--553 (2018; Zbl 1440.65175) Full Text: DOI arXiv
Badia, Santiago; Martin, Alberto F.; Verdugo, Francesc Mixed aggregated finite element methods for the unfitted discretization of the Stokes problem. (English) Zbl 1412.65184 SIAM J. Sci. Comput. 40, No. 6, B1541-B1576 (2018). Reviewer: Noureddine Daili (Sétif) MSC: 65N12 65N15 65N30 76D07 PDFBibTeX XMLCite \textit{S. Badia} et al., SIAM J. Sci. Comput. 40, No. 6, B1541--B1576 (2018; Zbl 1412.65184) Full Text: DOI arXiv
Badia, Santiago; Verdugo, Francesc Robust and scalable domain decomposition solvers for unfitted finite element methods. (English) Zbl 1462.65216 J. Comput. Appl. Math. 344, 740-759 (2018). MSC: 65N55 65N30 65F08 65N20 65Y05 PDFBibTeX XMLCite \textit{S. Badia} and \textit{F. Verdugo}, J. Comput. Appl. Math. 344, 740--759 (2018; Zbl 1462.65216) Full Text: DOI arXiv
Badia, Santiago; Bonilla, Jesús; Hierro, Alba Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes. (English) Zbl 1439.65105 Comput. Methods Appl. Mech. Eng. 320, 582-605 (2017). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{S. Badia} et al., Comput. Methods Appl. Mech. Eng. 320, 582--605 (2017; Zbl 1439.65105) Full Text: DOI arXiv
Badia, Santiago; Bonilla, Jesús Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization. (English) Zbl 1439.65104 Comput. Methods Appl. Mech. Eng. 313, 133-158 (2017). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{S. Badia} and \textit{J. Bonilla}, Comput. Methods Appl. Mech. Eng. 313, 133--158 (2017; Zbl 1439.65104) Full Text: DOI arXiv
Badia, Santiago; Olm, Marc Space-time balancing domain decomposition. (English) Zbl 1365.65217 SIAM J. Sci. Comput. 39, No. 2, C194-C213 (2017). MSC: 65M55 35K20 65M60 65F08 65Y05 PDFBibTeX XMLCite \textit{S. Badia} and \textit{M. Olm}, SIAM J. Sci. Comput. 39, No. 2, C194--C213 (2017; Zbl 1365.65217) Full Text: DOI arXiv
Badia, Santiago; Martín, Alberto F.; Principe, Javier Multilevel balancing domain decomposition at extreme scales. (English) Zbl 1334.65217 SIAM J. Sci. Comput. 38, No. 1, C22-C52 (2016). MSC: 65Y05 65Y20 65N55 65F08 65N30 PDFBibTeX XMLCite \textit{S. Badia} et al., SIAM J. Sci. Comput. 38, No. 1, C22--C52 (2016; Zbl 1334.65217) Full Text: DOI
Badia, Santiago; Hierro, Alba On discrete maximum principles for discontinuous Galerkin methods. (English) Zbl 1423.76205 Comput. Methods Appl. Mech. Eng. 286, 107-122 (2015). MSC: 76M10 65N30 35B50 35J25 65N12 76L05 PDFBibTeX XMLCite \textit{S. Badia} and \textit{A. Hierro}, Comput. Methods Appl. Mech. Eng. 286, 107--122 (2015; Zbl 1423.76205) Full Text: DOI Link
Badia, Santiago; Codina, Ramon; Planas, Ramon Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics. (English) Zbl 1348.76097 Arch. Comput. Methods Eng. 22, No. 4, 621-636 (2015). MSC: 76M10 76W05 65N30 65N12 PDFBibTeX XMLCite \textit{S. Badia} et al., Arch. Comput. Methods Eng. 22, No. 4, 621--636 (2015; Zbl 1348.76097) Full Text: DOI Link
Badia, Santiago; Hierro, Alba On monotonicity-preserving stabilized finite element approximations of transport problems. (English) Zbl 1312.65143 SIAM J. Sci. Comput. 36, No. 6, A2673-A2697 (2014). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M12 65M60 35L65 PDFBibTeX XMLCite \textit{S. Badia} and \textit{A. Hierro}, SIAM J. Sci. Comput. 36, No. 6, A2673--A2697 (2014; Zbl 1312.65143) Full Text: DOI Link
Badia, Santiago; Codina, Ramon; Planas, Ramon On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics. (English) Zbl 1284.76248 J. Comput. Phys. 234, 399-416 (2013). MSC: 76M10 76W05 65M12 PDFBibTeX XMLCite \textit{S. Badia} et al., J. Comput. Phys. 234, 399--416 (2013; Zbl 1284.76248) Full Text: DOI Link
Badia, Santiago On stabilized finite element methods based on the Scott-Zhang projector. Circumventing the inf-sup condition for the Stokes problem. (English) Zbl 1352.76038 Comput. Methods Appl. Mech. Eng. 247-248, 65-72 (2012). MSC: 76M10 76D07 65N30 65N12 PDFBibTeX XMLCite \textit{S. Badia}, Comput. Methods Appl. Mech. Eng. 247--248, 65--72 (2012; Zbl 1352.76038) Full Text: DOI
Badia, Santiago; Codina, Ramon A nodal-based finite element approximation of the Maxwell problem suitable for singular solutions. (English) Zbl 1247.78034 SIAM J. Numer. Anal. 50, No. 2, 398-417 (2012). MSC: 78M10 65N30 35Q61 PDFBibTeX XMLCite \textit{S. Badia} and \textit{R. Codina}, SIAM J. Numer. Anal. 50, No. 2, 398--417 (2012; Zbl 1247.78034) Full Text: DOI Link
Badia, Santiago; Codina, Ramon Stokes, Maxwell and Darcy: a single finite element approximation for three model problems. (English) Zbl 1241.65097 Appl. Numer. Math. 62, No. 4, 246-263 (2012). MSC: 65N30 35J25 35Q35 35Q61 65N12 PDFBibTeX XMLCite \textit{S. Badia} and \textit{R. Codina}, Appl. Numer. Math. 62, No. 4, 246--263 (2012; Zbl 1241.65097) Full Text: DOI Link
Badia, Santiago; Codina, Ramon A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem. (English) Zbl 1243.78042 Appl. Math. Comput. 218, No. 8, 4276-4294 (2011). MSC: 78M10 65N30 PDFBibTeX XMLCite \textit{S. Badia} and \textit{R. Codina}, Appl. Math. Comput. 218, No. 8, 4276--4294 (2011; Zbl 1243.78042) Full Text: DOI
Badia, Santiago; Quaini, Annalisa; Quarteroni, Alfio Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction. (English) Zbl 1391.74234 J. Comput. Phys. 228, No. 21, 7986-8014 (2009). MSC: 74S05 65M60 74F10 76D05 76S05 PDFBibTeX XMLCite \textit{S. Badia} et al., J. Comput. Phys. 228, No. 21, 7986--8014 (2009; Zbl 1391.74234) Full Text: DOI
Badia, Santiago; Codina, Ramon On a multiscale approach to the transient Stokes problem: dynamic subscales and anisotropic space-time discretization. (English) Zbl 1163.76026 Appl. Math. Comput. 207, No. 2, 415-433 (2009). MSC: 76M10 76D05 65M12 65M60 PDFBibTeX XMLCite \textit{S. Badia} and \textit{R. Codina}, Appl. Math. Comput. 207, No. 2, 415--433 (2009; Zbl 1163.76026) Full Text: DOI
Codina, Ramon; Principe, Javier; Guasch, Oriol; Badia, Santiago Time dependent subscales in the stabilized finite element approximation of incompressible flow problems. (English) Zbl 1173.76335 Comput. Methods Appl. Mech. Eng. 196, No. 21-24, 2413-2430 (2007). MSC: 76M10 76D05 PDFBibTeX XMLCite \textit{R. Codina} et al., Comput. Methods Appl. Mech. Eng. 196, No. 21--24, 2413--2430 (2007; Zbl 1173.76335) Full Text: DOI Link
Badia, Santiago; Codina, Ramon Analysis of a stabilized finite element approximation of the transient convection-diffusion equation using an ALE framework. (English) Zbl 1126.65079 SIAM J. Numer. Anal. 44, No. 5, 2159-2197 (2006). Reviewer: Marius Ghergu (Dublin) MSC: 65M12 65M60 35K15 65M20 65M15 PDFBibTeX XMLCite \textit{S. Badia} and \textit{R. Codina}, SIAM J. Numer. Anal. 44, No. 5, 2159--2197 (2006; Zbl 1126.65079) Full Text: DOI