The interaction across the contact interfaces has a wide range of applications in many
engineering and industrial processes. The development of computational methods for …

We present a minimum-residual finite element method (based on a dual Petrov–Galerkin
formulation) for convection–diffusion problems in a higher order, adaptive, continuous …

Abstract The incompressible Navier-Stokes equations are among the most important partial
differential systems arising from classical physics. They are utilized to model a wide range of …

We present a new theoretical framework for the enforcement of constraints in variational
multiscale (VMS) analysis. The theory is first presented in an abstract operator format and …

We examine a variational multiscale method in which the unresolved fine-scales are
approximated element-wise using a discontinuous Galerkin method. We establish stability …

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

In this dissertation, a class of methods which combines divergence-conforming
discretizations with residual-based subgrid modeling for large eddy simulation of turbulent …

View Video Presentation: https://doi. org/10.2514/6.2021-2772. vid We present a mixed-
precision variational multiscale method with discontinuous subscales in which the fine …

Increasingly powerful hard-and software allows for the numerical simulation of complex
physical phenomena with high levels of detail. In light of this development the definition of …

Ces travaux de thèse présentent la méthode isogéométrique comme une alternative fiable à
la méthode des éléments finis lorsqu'on résout les edp sur des domaines non polygonaux …