[HTML][HTML] A review of VMS a posteriori error estimation with emphasis in fluid mechanics

G Hauke, D Irisarri - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
This article outlines the research on the application of the variational multiscale theory
(VMS) to a posteriori error estimation. VMS theory was initially developed by Professor …

Spectral variational multi-scale method for parabolic problems: application to 1D transient advection-diffusion equations

TC Rebollo, S Fernández-García… - Computational and …, 2023 - Springer
In this work, we introduce a variational multi-scale (VMS) method for the numerical
approximation of parabolic problems, where sub-grid scales are approximated from the …

[HTML][HTML] Data-driven stabilized finite element solution of advection-dominated flow problems

TC Rebollo, DF Coronil - Mathematics and Computers in Simulation, 2024 - Elsevier
In this article, we address the solution of advection-dominated flow problems by stabilized
methods, by means of data-driven least-squares computed stabilized coefficients. As main …

Least-squares driven stabilised finite element solution of advection-dominated flow problems

TC Rebollo, DF Coronil - arXiv preprint arXiv:2207.13778, 2022 - arxiv.org
In this article, we address the solution of advection-dominated flow problems by stabilised
methods, by means of least-squares computed stabilised coefficients. As main …