Provably convergent anisotropic output-based adaptation for continuous finite element discretizations
HA Carson - 2020 - dspace.mit.edu
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 …
on numerical simulations for engineering and scientific purposes. Output error estimation …
Anisotropic mesh adaptation for high-order finite elements spaces with the log-simplex method. Application to discontinuous Galerkin methods
O Coulaud, A Loseille, P Schrooyen - Journal of Computational Physics, 2024 - Elsevier
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 …
later, which is called the log-simplex method, relies on the approximation of high-order …
Adjoint-based anisotropic hp-adaptation for discontinuous Galerkin methods using a continuous mesh model
A Rangarajan, G May, V Dolejsi - Journal of Computational Physics, 2020 - Elsevier
In this paper we propose an adjoint-based hp-adaptation method for conservation laws, and
corresponding numerical schemes based on piecewise polynomial approximation spaces …
corresponding numerical schemes based on piecewise polynomial approximation spaces …
Conservative solution transfer between anisotropic meshes for time‐accurate hybridized discontinuous Galerkin methods
T Levý, G May - International Journal for Numerical Methods in …, 2024 - Wiley Online Library
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 …
balance laws. In particular, we focus on a coupling of the solution process for unsteady …
A continuous hp-mesh model for adaptive discontinuous Galerkin schemes
V Dolejší, G May, A Rangarajan - Applied Numerical Mathematics, 2018 - Elsevier
We present a continuous-mesh model for anisotropic hp-adaptation in the context of
numerical methods using discontinuous piecewise polynomial approximation spaces. The …
numerical methods using discontinuous piecewise polynomial approximation spaces. The …
[HTML][HTML] Anisotropic hp-mesh optimization technique based on the continuous mesh and error models
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 …
equations (PDEs) using the h p-version of the finite element method (h p-FEM). The …
A continuous-mesh optimization technique for piecewise polynomial approximation on tetrahedral grids
AM Rangarajan, A Chakraborty, G May… - 2018 Fluid Dynamics …, 2018 - arc.aiaa.org
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 …
simulation. This is true in particular for convection-dominated problems, such as …
Conservative solution transfer between anisotropic meshes for adaptive time-accurate hybridized discontinuous Galerkin methods
T Levý, G May - AIAA SCITECH 2023 Forum, 2023 - arc.aiaa.org
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 …
discontinuous Galerkin (HDG) solver for general time-dependent balance laws. We focus in …
Metric construction for error control of finite element solutions
A Rangarajan, G May - AIAA Aviation 2019 Forum, 2019 - arc.aiaa.org
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 …
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
G May, A Rangarajan, A Chakraborty - congress.cimne.com
Towards optimal hp approximation spaces for high-order methods: A continuous mesh
approach Page 1 6th European Conference on Computational Mechanics (ECCM 6) 7th …
approach Page 1 6th European Conference on Computational Mechanics (ECCM 6) 7th …