In this article, we present a theoretical framework for integrating discontinuous Galerkin
methods in the variational multiscale paradigm. Our starting point is a projector-based …

In this work, we present an adjoint consistent continuous Galerkin discretization, Varia-tional
Multiscale with Discontinuous Subscales (VMSD), for the simulation of aerodynamic flows …

This paper interprets the stabilized finite element method via residual minimization as a
variational multiscale method. We approximate the solution to the partial differential …

Isogeometric divergence-conforming discretizations have recently arisen as an attractive
candidate for approximation of the incompressible Navier-Stokes problem. By construction …

We present a new stabilized method for the diffusion–reaction equation which develops
sharp boundary and/or internal layers for the reaction-dominated case (ie singularly …

We show that in the variational multiscale framework, the weak enforcement of essential
boundary conditions via Nitsche's method corresponds directly to a particular choice of …

We develop the general form of the variational multiscale method in a discontinuous
Galerkin framework. Our method is based on the decomposition of the true solution into …

We initiate the study of the discontinuous Galerkin residual‐based variational multiscale (DG‐
RVMS) method for incorporating subgrid‐scale behavior into the finite element solution of …

This paper presents a novel two-level finite element method for convection–diffusion–
reaction problems. The proposed scheme consists of a global problem and an ensemble of …

This paper is devoted to developing finite-element methods for solving a two-dimensional
boundary value problem for a singularly perturbed time-dependent convection–diffusion …