Julia Novo

Orcid: 0000-0001-6667-5666

According to our database1, Julia Novo authored at least 49 papers between 1999 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.

Timeline

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Bibliography

2025
Can neural networks learn finite elements?
J. Comput. Appl. Math., 2025

2024
Pointwise error bounds in POD methods without difference quotients.
CoRR, 2024

POD-ROM methods: from a finite set of snapshots to continuous-in-time approximations.
CoRR, 2024

Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation.
CoRR, 2024

2023
Second order error bounds for POD-ROM methods based on first order divided differences.
Appl. Math. Lett., December, 2023

POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution.
SIAM J. Numer. Anal., June, 2023

Optimal Bounds for Numerical Approximations of Infinite Horizon Problems Based on Dynamic Programming Approach.
SIAM J. Control. Optim., April, 2023

Optimal bounds for POD approximations of infinite horizon control problems based on time derivatives.
CoRR, 2023

POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure.
CoRR, 2023

Pressure and convection robust bounds for continuous interior penalty divergence-free finite element methods for the incompressible Navier-Stokes equations.
CoRR, 2023

2022
Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations.
J. Comput. Appl. Math., 2022

On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods.
CoRR, 2022

Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations.
Comput. Math. Appl., 2022

2021
A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier-Stokes Equations.
SIAM J. Sci. Comput., 2021

Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows.
SIAM J. Numer. Anal., 2021

Corrigenda: Fully Discrete Approximations to the Time-dependent Navier-Stokes Equations with a Projection Method in Time and Grad-div Stabilization.
J. Sci. Comput., 2021

Robust error bounds for the Navier-Stokes equations using implicit-explicit second order BDF method with variable steps.
CoRR, 2021

On Discrete-Time Approximations to Infinite Horizon Differential Games.
CoRR, 2021

2020
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., 2020

Generalized postprocessed approximations to the Navier-Stokes equations based on two grids.
J. Comput. Appl. Math., 2020

A posteriori error estimations for mixed finite element approximations to the Navier-Stokes equations based on Newton-type linearization.
J. Comput. Appl. Math., 2020

Error analysis of proper orthogonal decomposition data assimilation schemes for the Navier-Stokes equations.
CoRR, 2020

Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations.
Adv. Comput. Math., 2020

2019
Fully Discrete Approximations to the Time-Dependent Navier-Stokes Equations with a Projection Method in Time and Grad-Div Stabilization.
J. Sci. Comput., 2019

Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements.
Appl. Math. Comput., 2019

2018
Error Analysis of Projection Methods for Non inf-sup Stable Mixed Finite Elements: The Navier-Stokes Equations.
J. Sci. Comput., 2018

Two-Grid Mixed Finite-Element Approximations to the Navier-Stokes Equations Based on a Newton-Type Step.
J. Sci. Comput., 2018

Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?
Comput. Vis. Sci., 2018

Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem.
Appl. Math. Comput., 2018

A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems.
Appl. Math. Comput., 2018

Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements.
Adv. Comput. Math., 2018

2016
Local Error Estimates for the SUPG Method Applied to Evolutionary Convection-Reaction-Diffusion Equations.
J. Sci. Comput., 2016

Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements.
J. Sci. Comput., 2016

Projection methods for incompressible flow problems with WENO finite difference schemes.
J. Comput. Phys., 2016

2015
Analysis of the Pressure Stabilized Petrov-Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions.
SIAM J. Numer. Anal., 2015

2012
Static Two-Grid Mixed Finite-Element Approximations to the Navier-Stokes Equations.
J. Sci. Comput., 2012

On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations.
J. Comput. Phys., 2012

Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations.
Appl. Math. Comput., 2012

2011
Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations.
SIAM J. Numer. Anal., 2011

A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations.
J. Comput. Appl. Math., 2011

2010
Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems.
SIAM J. Numer. Anal., 2010

2008
Postprocessing Finite-Element Methods for the Navier-Stokes Equations: The Fully Discrete Case.
SIAM J. Numer. Anal., 2008

2007
The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations: Refined Error Bounds.
SIAM J. Numer. Anal., 2007

2005
The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2005

2002
Postprocessing the Linear Finite Element Method.
SIAM J. Numer. Anal., 2002

2001
Efficient methods using high accuracy approximate inertial manifolds.
Numerische Mathematik, 2001

2000
A Spectral Element Method for the Navier-Stokes Equations with Improved Accuracy.
SIAM J. Numer. Anal., 2000

A postprocessed Galerkin method with Chebyshev or Legendre polynomials.
Numerische Mathematik, 2000

1999
An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations.
Math. Comput., 1999


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