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Julia Novo
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2020 – today
- 2025
- [j39]Julia Novo
, Eduardo Terrés:
Can neural networks learn finite elements? J. Comput. Appl. Math. 453: 116168 (2025) - 2024
- [i15]Bosco García-Archilla, Xuejian Li, Julia Novo, Leo G. Rebholz:
Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation. CoRR abs/2401.06749 (2024) - [i14]Bosco García-Archilla, Volker John, Julia Novo:
POD-ROM methods: from a finite set of snapshots to continuous-in-time approximations. CoRR abs/2403.06967 (2024) - [i13]Julia Novo, Eduardo Terrés:
Can Neural Networks learn Finite Elements? CoRR abs/2405.06488 (2024) - [i12]Bosco García-Archilla, Julia Novo:
Pointwise error bounds in POD methods without difference quotients. CoRR abs/2407.17159 (2024) - 2023
- [j38]Bosco García-Archilla
Second order error bounds for POD-ROM methods based on first order divided differences. Appl. Math. Lett. 146: 108836 (2023) - [j37]Javier de Frutos
Optimal Bounds for Numerical Approximations of Infinite Horizon Problems Based on Dynamic Programming Approach. SIAM J. Control. Optim. 61(2): 415-433 (2023) - [j36]Bosco García-Archilla, Volker John
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution. SIAM J. Numer. Anal. 61(3): 1340-1368 (2023) - [i11]Bosco García-Archilla, Julia Novo:
Pressure and convection robust bounds for continuous interior penalty divergence-free finite element methods for the incompressible Navier-Stokes equations. CoRR abs/2303.10992 (2023) - [i10]Bosco García-Archilla, Volker John, Sarah Katz, Julia Novo:
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure. CoRR abs/2304.08313 (2023) - [i9]Bosco García-Archilla, Volker John, Julia Novo:
Second order error bounds for POD-ROM methods based on first order divided differences. CoRR abs/2306.03550 (2023) - [i8]Javier de Frutos, Bosco García-Archilla, Julia Novo:
Optimal bounds for POD approximations of infinite horizon control problems based on time derivatives. CoRR abs/2310.10552 (2023) - 2022
- [j35]Volker John
Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations. Comput. Math. Appl. 122: 48-60 (2022) - [j34]Bosco García-Archilla, Julia Novo, Samuele Rubino
Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations. J. Comput. Appl. Math. 411: 114246 (2022) - [i7]Bosco García-Archilla, Julia Novo, Samuele Rubino:
On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods. CoRR abs/2203.15358 (2022) - [i6]Bosco García-Archilla, Volker John, Julia Novo:
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. CoRR abs/2206.09123 (2022) - 2021
- [j33]Javier de Frutos, Bosco García-Archilla
Corrigenda: Fully Discrete Approximations to the Time-dependent Navier-Stokes Equations with a Projection Method in Time and Grad-div Stabilization. J. Sci. Comput. 88(2): 40 (2021) - [j32]Julia Novo
Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows. SIAM J. Numer. Anal. 59(1): 334-369 (2021) - [j31]Alejandro Allendes, Gabriel R. Barrenechea
A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier-Stokes Equations. SIAM J. Sci. Comput. 43(6): A3809-A3836 (2021) - [i5]Javier de Frutos, Julia Novo:
Optimal bounds for numerical approximations of infinite horizon problems based on dynamic programming approach. CoRR abs/2111.07371 (2021) - [i4]Javier de Frutos, Víctor Gatón, Julia Novo:
On Discrete-Time Approximations to Infinite Horizon Differential Games. CoRR abs/2112.03153 (2021) - [i3]Bosco García-Archilla, Julia Novo:
Robust error bounds for the Navier-Stokes equations using implicit-explicit second order BDF method with variable steps. CoRR abs/2112.12446 (2021) - 2020
- [j30]Bosco García-Archilla
Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. Adv. Comput. Math. 46(4): 61 (2020) - [j29]Francisco Durango, Julia Novo:
A posteriori error estimations for mixed finite element approximations to the Navier-Stokes equations based on Newton-type linearization. J. Comput. Appl. Math. 367 (2020) - [j28]Francisco Durango, Julia Novo:
Generalized postprocessed approximations to the Navier-Stokes equations based on two grids. J. Comput. Appl. Math. 368 (2020) - [j27]Bosco García-Archilla
Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier-Stokes Equations. SIAM J. Numer. Anal. 58(1): 410-429 (2020) - [i2]Bosco García-Archilla, Julia Novo, Samuele Rubino:
Error analysis of proper orthogonal decomposition data assimilation schemes for the Navier-Stokes equations. CoRR abs/2004.09127 (2020) - [i1]Julia Novo, Samuele Rubino:
Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows. CoRR abs/2006.00211 (2020)
2010 – 2019
- 2019
- [j26]Javier de Frutos, Bosco García-Archilla
Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements. Appl. Math. Comput. 349: 281-291 (2019) - [j25]Javier de Frutos, Bosco García-Archilla
Fully Discrete Approximations to the Time-Dependent Navier-Stokes Equations with a Projection Method in Time and Grad-Div Stabilization. J. Sci. Comput. 80(2): 1330-1368 (2019) - 2018
- [j24]Javier de Frutos
Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. Adv. Comput. Math. 44(1): 195-225 (2018) - [j23]Javier de Frutos
Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem. Appl. Math. Comput. 322: 154-173 (2018) - [j22]Naveed Ahmed
A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Appl. Math. Comput. 333: 304-324 (2018) - [j21]Volker John, Petr Knobloch
Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? Comput. Vis. Sci. 19(5-6): 47-63 (2018) - [j20]Javier de Frutos
Error Analysis of Projection Methods for Non inf-sup Stable Mixed Finite Elements: The Navier-Stokes Equations. J. Sci. Comput. 74(1): 426-455 (2018) - [j19]Francisco Durango, Julia Novo
Two-Grid Mixed Finite-Element Approximations to the Navier-Stokes Equations Based on a Newton-Type Step. J. Sci. Comput. 74(1): 456-473 (2018) - 2016
- [j18]Javier de Frutos
Projection methods for incompressible flow problems with WENO finite difference schemes. J. Comput. Phys. 309: 368-386 (2016) - [j17]Javier de Frutos
Local Error Estimates for the SUPG Method Applied to Evolutionary Convection-Reaction-Diffusion Equations. J. Sci. Comput. 66(2): 528-554 (2016) - [j16]Javier de Frutos
Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements. J. Sci. Comput. 66(3): 991-1024 (2016) - 2015
- [j15]Volker John, Julia Novo
Analysis of the Pressure Stabilized Petrov-Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions. SIAM J. Numer. Anal. 53(2): 1005-1031 (2015) - 2012
- [j14]Javier de Frutos
Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations. Appl. Math. Comput. 218(13): 7034-7051 (2012) - [j13]Volker John, Julia Novo
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. J. Comput. Phys. 231(4): 1570-1586 (2012) - [j12]Javier de Frutos
Static Two-Grid Mixed Finite-Element Approximations to the Navier-Stokes Equations. J. Sci. Comput. 52(3): 619-637 (2012) - 2011
- [j11]Javier de Frutos
A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations. J. Comput. Appl. Math. 236(6): 1103-1122 (2011) - [j10]Volker John, Julia Novo
Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 49(3): 1149-1176 (2011) - 2010
- [j9]Javier de Frutos
Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems. SIAM J. Numer. Anal. 48(3): 953-979 (2010)
2000 – 2009
- 2008
- [j8]Javier de Frutos
Postprocessing Finite-Element Methods for the Navier-Stokes Equations: The Fully Discrete Case. SIAM J. Numer. Anal. 47(1): 596-621 (2008) - 2007
- [j7]Javier de Frutos
The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations: Refined Error Bounds. SIAM J. Numer. Anal. 46(1): 201-230 (2007) - 2005
- [j6]Blanca Ayuso de Dios
The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations. SIAM J. Numer. Anal. 43(3): 1091-1111 (2005) - 2002
- [j5]Javier de Frutos, Julia Novo:
Postprocessing the Linear Finite Element Method. SIAM J. Numer. Anal. 40(3): 805-819 (2002) - 2001
- [j4]Julia Novo
Efficient methods using high accuracy approximate inertial manifolds. Numerische Mathematik 87(3): 523-554 (2001) - 2000
- [j3]Javier de Frutos, Bosco García-Archilla, Julia Novo
A postprocessed Galerkin method with Chebyshev or Legendre polynomials. Numerische Mathematik 86(3): 419-442 (2000) - [j2]Javier de Frutos
A Spectral Element Method for the Navier-Stokes Equations with Improved Accuracy. SIAM J. Numer. Anal. 38(3): 799-819 (2000)
1990 – 1999
- 1999
- [j1]Bosco García-Archilla, Julia Novo, Edriss S. Titi:
An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations. Math. Comput. 68(227): 893-911 (1999)
Coauthor Index
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