This article describes the Variational Multiscale Method (VMS) applied to flow problems. The
main idea of the formulation in the case of stationary linear problems is explained with some …

We present new results in the numerical analysis of singularly perturbed convection‐
diffusion‐reaction problems that have appeared in the last five years. Mainly discussing …

In this paper, we propose and analyze the stability and the dissipative structure of a new
dynamic term-by-term stabilized finite element formulation for the Navier–Stokes problem …

In this paper, we propose and analyze a numerically stable and convergent scheme for a
convection-diffusion-reaction equation in the convection-dominated regime. Discontinuous …

In this paper we present a Variational Multi-Scale stabilized formulation for a general
projection-based Reduced Order Model. In the stabilized formulation we address techniques …

This paper introduces a novel approach to approximate a broad range of reaction-
convection-diffusion equations using conforming finite element methods while providing a …

A finite element error analysis of a local projection stabilization (LPS) method for the time-
dependent Navier–Stokes equations is presented. The focus is on the high-order term-by …

We propose a way to maintain strong consistency and perform error analysis in the context
of dissipation-based WENO stabilization for continuous and discontinuous Galerkin …

In this paper, we consider up-to-date and classical Finite Element (FE) stabilized methods
for time-dependent incompressible flows. All studied methods belong to the Variational …

In this article, the performance of a stabilized VMS-type finite element formulation of a non-
residual structure is numerically verified for highly convective natural flows. The novelty of …