In the context of scientific computing, the mesh is used as a discrete support for the
considered numerical methods. As a consequence, the mesh greatly impacts the efficiency …

In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe
orientation, density, and stretching of anisotropic meshes. But, such structures are only …

This paper studies the coupling between anisotropic mesh adaptation and goal-oriented
error estimate. The former is very well suited to the control of the interpolation error. It is …

Large‐eddy simulation (LES) consists in explicitly simulating the large scales of the fluid
motion and in modeling the influence of the smallest scales. Thanks to the steady growth of …

This paper gives a status on anisotropic mesh gradation. We present two 3D anisotropic
formulations of mesh gradation. The metric at each point defines a well-graded smooth …

The moving discontinuous Galerkin finite element method with interface condition
enforcement is applied to the case of viscous flows. This method uses a weak formulation …

This document presents an interpolation operator on unstructured tetrahedral meshes that
satisfies the properties of mass conservation, P 1-exactness (order 2) and maximum …

We present a new algorithm for combining an anisotropic goal-oriented error estimate with
the mesh adaptation fixed point method for unsteady problems. The minimization of the error …

We first describe the well-established unstructured mesh generation methods as involved in
the computational pipeline, from geometry definition to surface and volume mesh …

This paper addresses classical issues that arise when applying anisotropic mesh adaptation
to real-life 3D problems as the loss of anisotropy or the necessity to truncate the minimal size …