Automated mesh adaptation is known to be an efficient way to control discretization errors in
Computational Fluid Dynamics (CFD) simulations. It offers the added advantage that the …

In this article, a high-order solution-based mesh adaptation method is investigated. This
later, which is called the log-simplex method, relies on the approximation of high-order …

We present a high-order consistent compressible flow solver, based on a hybridized
discontinuous Galerkin (HDG) discretization, for applications covering subsonic to …

In this paper we propose an adjoint-based hp-adaptation method for conservation laws, and
corresponding numerical schemes based on piecewise polynomial approximation spaces …

This paper presents a framework for anisotropic unstructured all-quad mesh adaptation. The
technique is suitable for use with a diverse class of numerical methods, including the high …

We deal with the numerical solution of a linear convection-diffusion-reaction equation using
the discontinuous Galerkin method of arbitrary polynomial approximation degree on …

Abstract Certain Petrov-Galerkin schemes deliver inherently stable formulations of
variational problems on a given mesh by selecting appropriate pairs of trial and test spaces …

We present an anisotropic hp-mesh adaptation strategy using a continuous mesh model for
discontinuous Petrov-Galerkin (DPG) finite element schemes with optimal test functions …

View Video Presentation: https://doi. org/10.2514/6.2021-1840. vid This paper presents a
method for anisotropic adaptation for all-quad meshes. The goal is to provide a means of …

This thesis will present a method of unstructured anisotropic adaptation for all-quad mesh
suitable for use with high-order methods. The overall goal is to minimize the computational …