An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations. - Bosco García-Archilla; Julia Novo; Edriss S. Titi (Math. Comput., 1999)

A postprocessed Galerkin method with Chebyshev or Legendre polynomials. - Javier de Frutos; Bosco García-Archilla; Julia Novo (Numerische Mathematik, 2000)

A Spectral Element Method for the Navier-Stokes Equations with Improved Accuracy. - Javier de Frutos; Julia Novo (SIAM J. Numer. Anal., 2000)

Efficient methods using high accuracy approximate inertial manifolds. - Julia Novo; Edriss S. Titi; Shannon Wynne (Numerische Mathematik, 2001)

Postprocessing the Linear Finite Element Method. - Javier de Frutos; Julia Novo (SIAM J. Numer. Anal., 2002)

The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations. - Blanca Ayuso de Dios; Bosco García-Archilla; Julia Novo (SIAM J. Numer. Anal., 2005)

The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations: Refined Error Bounds. - Javier de Frutos; Bosco García-Archilla; Julia Novo (SIAM J. Numer. Anal., 2007)

Postprocessing Finite-Element Methods for the Navier-Stokes Equations: The Fully Discrete Case. - Javier de Frutos; Bosco García-Archilla; Julia Novo (SIAM J. Numer. Anal., 2008)

Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems. - Javier de Frutos; Bosco García-Archilla; Julia Novo (SIAM J. Numer. Anal., 2010)

A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Comput. Appl. Math., 2011)

Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations. - Volker John; Julia Novo (SIAM J. Numer. Anal., 2011)

Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (Appl. Math. Comput., 2012)

On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. - Volker John; Julia Novo (J. Comput. Phys., 2012)

Static Two-Grid Mixed Finite-Element Approximations to the Navier-Stokes Equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2012)

Analysis of the Pressure Stabilized Petrov-Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions. - Volker John; Julia Novo (SIAM J. Numer. Anal., 2015)

Projection methods for incompressible flow problems with WENO finite difference schemes. - Javier de Frutos; Volker John; Julia Novo (J. Comput. Phys., 2016)

Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements. - Javier de Frutos; Bosco García-Archilla; Volker John; Julia Novo (J. Sci. Comput., 2016)

Local Error Estimates for the SUPG Method Applied to Evolutionary Convection-Reaction-Diffusion Equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2016)

Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements. - Javier de Frutos; Bosco García-Archilla; Volker John; Julia Novo (Adv. Comput. Math., 2018)

A local projection stabilization/continuous Galerkin-Petrov method for incompressible flow problems. - Naveed Ahmed 004; Volker John; Gunar Matthies; Julia Novo (Appl. Math. Comput., 2018)

Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem. - Javier de Frutos; Bosco García-Archilla; Julia Novo (Appl. Math. Comput., 2018)

Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? - Volker John; Petr Knobloch; Julia Novo (Comput. Vis. Sci., 2018)

Two-Grid Mixed Finite-Element Approximations to the Navier-Stokes Equations Based on a Newton-Type Step. - Francisco Durango; Julia Novo (J. Sci. Comput., 2018)

Error Analysis of Projection Methods for Non inf-sup Stable Mixed Finite Elements: The Navier-Stokes Equations. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2018)

Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements. - Javier de Frutos; Bosco García-Archilla; Julia Novo (Appl. Math. Comput., 2019)

Fully Discrete Approximations to the Time-Dependent Navier-Stokes Equations with a Projection Method in Time and Grad-Div Stabilization. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2019)

Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. - Bosco García-Archilla; Julia Novo (Adv. Comput. Math., 2020)

Error analysis of proper orthogonal decomposition data assimilation schemes for the Navier-Stokes equations. - Bosco García-Archilla; Julia Novo; Samuele Rubino (CoRR, 2020)

A posteriori error estimations for mixed finite element approximations to the Navier-Stokes equations based on Newton-type linearization. - Francisco Durango; Julia Novo (J. Comput. Appl. Math., 2020)

Generalized postprocessed approximations to the Navier-Stokes equations based on two grids. - Francisco Durango; Julia Novo (J. Comput. Appl. Math., 2020)

Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier-Stokes Equations. - Bosco García-Archilla; Julia Novo; Edriss S. Titi (SIAM J. Numer. Anal., 2020)

On Discrete-Time Approximations to Infinite Horizon Differential Games. - Javier de Frutos; Víctor Gatón; Julia Novo (CoRR, 2021)

Robust error bounds for the Navier-Stokes equations using implicit-explicit second order BDF method with variable steps. - Bosco García-Archilla; Julia Novo (CoRR, 2021)

Corrigenda: Fully Discrete Approximations to the Time-dependent Navier-Stokes Equations with a Projection Method in Time and Grad-div Stabilization. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2021)

Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows. - Julia Novo; Samuele Rubino (SIAM J. Numer. Anal., 2021)

A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier-Stokes Equations. - Alejandro Allendes; Gabriel R. Barrenechea; Julia Novo (SIAM J. Sci. Comput., 2021)

Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations. - Volker John; Baptiste Moreau; Julia Novo (Comput. Math. Appl., 2022)

On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods. - Bosco García-Archilla; Julia Novo; Samuele Rubino (CoRR, 2022)

Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations. - Bosco García-Archilla; Julia Novo; Samuele Rubino (J. Comput. Appl. Math., 2022)

Pressure and convection robust bounds for continuous interior penalty divergence-free finite element methods for the incompressible Navier-Stokes equations. - Bosco García-Archilla; Julia Novo (CoRR, 2023)

Optimal Bounds for Numerical Approximations of Infinite Horizon Problems Based on Dynamic Programming Approach. - Javier de Frutos; Julia Novo (SIAM J. Control. Optim., 2023)

POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution. - Bosco García-Archilla; Volker John; Julia Novo (SIAM J. Numer. Anal., 2023)

Second order error bounds for POD-ROM methods based on first order divided differences. - Bosco García-Archilla; Volker John; Julia Novo (Appl. Math. Lett., 2023)

Enhancing nonlinear solvers for the Navier-Stokes equations with continuous (noisy) data assimilation. - Bosco García-Archilla; Xuejian Li; Julia Novo; Leo G. Rebholz (CoRR, 2024)

A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model. - Jorge Reyes; Ping-Hsuan Tsai; Julia Novo; Traian Iliescu (CoRR, 2024)

POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure. - Bosco García-Archilla; Volker John; Sarah Katz; Julia Novo (J. Num. Math., 2024)

Can neural networks learn finite elements? - Julia Novo; Eduardo Terrés (J. Comput. Appl. Math., 2025)

POD-ROM Methods: From a Finite Set of Snapshots to Continuous-in-Time Approximations. - Bosco García-Archilla; Volker John; Julia Novo (SIAM J. Numer. Anal., 2025)

POD-ROM methods: error analysis for continuous parametrized approximations. - Bosco García-Arcilla; Alicia García-Mascaraque; Julia Novo (CoRR, 2025)

Optimal Bounds for POD Approximations of Infinite Horizon Control Problems Based on Time Derivatives. - Javier de Frutos; Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2025)

Pointwise Error Bounds in POD Methods Without Difference Quotients. - Bosco García-Archilla; Julia Novo (J. Sci. Comput., 2025)

Using BDF schemes in the temporal integration of POD-ROM methods. - Bosco García-Archilla; Alicia García-Mascaraque; Julia Novo (CoRR, 2025)

Error analysis of BDF schemes for the evolutionary incompressible Navier-Stokes equations. - Bosco García-Archilla; Volker John; Julia Novo (CoRR, 2025)