Julia Novo

Publication Activity (10 Years)

Years Active: 1999-2025
Publications (10 Years): 39

Top Topics

Decomposition Methods

Navier Stokes Equations

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

J. Comput. Appl. Math.

Publications

Julia Novo, Eduardo Terrés
Can neural networks learn finite elements? J. Comput. Appl. Math. 453 (2025)
Bosco García-Archilla, Xuejian Li, Julia Novo, Leo Rebholz
Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation. CoRR (2024)
Julia Novo, Eduardo Terrés
Can Neural Networks learn Finite Elements? CoRR (2024)
Bosco García-Archilla, Volker John, Julia Novo
POD-ROM methods: from a finite set of snapshots to continuous-in-time approximations. CoRR (2024)
Bosco García-Archilla, Julia Novo
Pointwise error bounds in POD methods without difference quotients. CoRR (2024)
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 (2023)
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 (2023)
Javier de Frutos, Bosco García-Archilla, Julia Novo
Optimal bounds for POD approximations of infinite horizon control problems based on time derivatives. CoRR (2023)
Javier de Frutos, Julia Novo
Optimal Bounds for Numerical Approximations of Infinite Horizon Problems Based on Dynamic Programming Approach. SIAM J. Control. Optim. 61 (2) (2023)
Bosco García-Archilla, Volker John, Julia Novo
Second order error bounds for POD-ROM methods based on first order divided differences. Appl. Math. Lett. 146 (2023)
Bosco García-Archilla, Volker John, Julia Novo
Second order error bounds for POD-ROM methods based on first order divided differences. CoRR (2023)
Bosco García-Archilla, Volker John, Julia Novo
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution. SIAM J. Numer. Anal. 61 (3) (2023)
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 (2022)
Volker John, Baptiste Moreau, Julia Novo
Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations. Comput. Math. Appl. 122 (2022)
Bosco García-Archilla, Volker John, Julia Novo
POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. CoRR (2022)
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 (2022)
Alejandro Allendes, Gabriel R. Barrenechea, Julia Novo
A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier-Stokes Equations. SIAM J. Sci. Comput. 43 (6) (2021)
Javier de Frutos, Bosco García-Archilla, Julia Novo
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) (2021)
Javier de Frutos, Julia Novo
Optimal bounds for numerical approximations of infinite horizon problems based on dynamic programming approach. CoRR (2021)
Javier de Frutos, Víctor Gatón, Julia Novo
On Discrete-Time Approximations to Infinite Horizon Differential Games. CoRR (2021)
Bosco García-Archilla, Julia Novo
Robust error bounds for the Navier-Stokes equations using implicit-explicit second order BDF method with variable steps. CoRR (2021)
Julia Novo, Samuele Rubino
Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows. SIAM J. Numer. Anal. 59 (1) (2021)
Francisco Durango, Julia Novo
Generalized postprocessed approximations to the Navier-Stokes equations based on two grids. J. Comput. Appl. Math. 368 (2020)
Bosco García-Archilla, Julia Novo, Edriss S. Titi
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) (2020)
Bosco García-Archilla, Julia Novo, Samuele Rubino
Error analysis of proper orthogonal decomposition data assimilation schemes for the Navier-Stokes equations. CoRR (2020)
Bosco García-Archilla, Julia Novo
Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. Adv. Comput. Math. 46 (4) (2020)
Julia Novo, Samuele Rubino
Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows. CoRR (2020)
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)
Javier de Frutos, Bosco García-Archilla, Julia Novo
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) (2019)
Javier de Frutos, Bosco García-Archilla, Julia Novo
Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements. Appl. Math. Comput. 349 (2019)
Naveed Ahmed, Volker John, Gunar Matthies, Julia Novo
A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. Appl. Math. Comput. 333 (2018)
Javier de Frutos, Bosco García-Archilla, Julia Novo
Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem. Appl. Math. Comput. 322 (2018)
Volker John, Petr Knobloch, Julia Novo
Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? Comput. Vis. Sci. 19 (5-6) (2018)
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) (2018)
Javier de Frutos, Bosco García-Archilla, Volker John, Julia Novo
Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. Adv. Comput. Math. 44 (1) (2018)
Javier de Frutos, Bosco García-Archilla, Julia Novo
Error Analysis of Projection Methods for Non inf-sup Stable Mixed Finite Elements: The Navier-Stokes Equations. J. Sci. Comput. 74 (1) (2018)
Javier de Frutos, Bosco García-Archilla, Volker John, Julia Novo
Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements. J. Sci. Comput. 66 (3) (2016)
Javier de Frutos, Bosco García-Archilla, Julia Novo
Local Error Estimates for the SUPG Method Applied to Evolutionary Convection-Reaction-Diffusion Equations. J. Sci. Comput. 66 (2) (2016)
Javier de Frutos, Volker John, Julia Novo
Projection methods for incompressible flow problems with WENO finite difference schemes. J. Comput. Phys. 309 (2016)
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) (2015)
Volker John, Julia Novo
On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. J. Comput. Phys. 231 (4) (2012)
Javier de Frutos, Bosco García-Archilla, Julia Novo
Static Two-Grid Mixed Finite-Element Approximations to the Navier-Stokes Equations. J. Sci. Comput. 52 (3) (2012)
Javier de Frutos, Bosco García-Archilla, Julia Novo
Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations. Appl. Math. Comput. 218 (13) (2012)
Volker John, Julia Novo
Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations. SIAM J. Numer. Anal. 49 (3) (2011)
Javier de Frutos, Bosco García-Archilla, Julia Novo
A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations. J. Comput. Appl. Math. 236 (6) (2011)
Javier de Frutos, Bosco García-Archilla, Julia Novo
Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems. SIAM J. Numer. Anal. 48 (3) (2010)
Javier de Frutos, Bosco García-Archilla, Julia Novo
Postprocessing Finite-Element Methods for the Navier-Stokes Equations: The Fully Discrete Case. SIAM J. Numer. Anal. 47 (1) (2008)
Javier de Frutos, Bosco García-Archilla, Julia Novo
The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations: Refined Error Bounds. SIAM J. Numer. Anal. 46 (1) (2007)
Blanca Ayuso de Dios, Bosco García-Archilla, Julia Novo
The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations. SIAM J. Numer. Anal. 43 (3) (2005)
Javier de Frutos, Julia Novo
Postprocessing the Linear Finite Element Method. SIAM J. Numer. Anal. 40 (3) (2002)
Julia Novo, Edriss S. Titi, Shannon Wynne
Efficient methods using high accuracy approximate inertial manifolds. Numerische Mathematik 87 (3) (2001)
Javier de Frutos, Julia Novo
A Spectral Element Method for the Navier-Stokes Equations with Improved Accuracy. SIAM J. Numer. Anal. 38 (3) (2000)
Javier de Frutos, Bosco García-Archilla, Julia Novo
A postprocessed Galerkin method with Chebyshev or Legendre polynomials. Numerische Mathematik 86 (3) (2000)
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) (1999)