The expansion of modern computing power has seen a commensurate rise in the reliance
on numerical simulations for engineering and scientific purposes. Output error estimation …

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 …

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

We present a hybridized discontinuous Galerkin (HDG) solver for general time‐dependent
balance laws. In particular, we focus on a coupling of the solution process for unsteady …

We present a continuous-mesh model for anisotropic hp-adaptation in the context of
numerical methods using discontinuous piecewise polynomial approximation spaces. The …

We develop a new mesh adaptive technique for the numerical solution of partial differential
equations (PDEs) using the h p-version of the finite element method (h p-FEM). The …

The importance of adaptive meshing is recognized in many application areas of PDE-based
simulation. This is true in particular for convection-dominated problems, such as …

View Video Presentation: https://doi. org/10.2514/6.2023-1794. vid We present a hybridized
discontinuous Galerkin (HDG) solver for general time-dependent balance laws. We focus in …

Typically aerodynamic flow problems have features of varying length scales. They have
many strong transition layers and sometimes even discontinuities. This is true in general for …

Towards optimal hp approximation spaces for high-order methods: A continuous mesh
approach Page 1 6th European Conference on Computational Mechanics (ECCM 6) 7th …