The hybrid high-order method for polytopal meshes

DA Di Pietro, J Droniou - Number 19 in Modeling, Simulation and …, 2020 - Springer
Originally introduced in [146, 158], Hybrid High-Order (HHO) methods provide a framework
for the discretisation of models based on Partial Differential Equations (PDEs) with features …

On the flexibility of agglomeration based physical space discontinuous Galerkin discretizations

F Bassi, L Botti, A Colombo, DA Di Pietro… - Journal of Computational …, 2012 - Elsevier
In this work we show that the flexibility of the discontinuous Galerkin (dG) discretization can
be fruitfully exploited to implement numerical solution strategies based on the use of …

Agglomeration based discontinuous Galerkin discretization of the Euler and Navier–Stokes equations

F Bassi, L Botti, A Colombo, S Rebay - Computers & fluids, 2012 - Elsevier
In this work we exploit the flexibility associated to discontinuous Galerkin methods to perform
high-order discretizations of the Euler and Navier–Stokes equations on very general …

Agglomeration-based physical frame dG discretizations: an attempt to be mesh free

F Bassi, L Botti, A Colombo - Mathematical Models and Methods in …, 2014 - World Scientific
In this work we consider agglomeration-based physical frame discontinuous Galerkin (dG)
discretization as an effective way to increase the flexibility of high-order finite element …

h-multigrid agglomeration based solution strategies for discontinuous Galerkin discretizations of incompressible flow problems

L Botti, A Colombo, F Bassi - Journal of Computational Physics, 2017 - Elsevier
In this work we exploit agglomeration based h-multigrid preconditioners to speed-up the
iterative solution of discontinuous Galerkin discretizations of the Stokes and Navier–Stokes …

An a posteriori-driven adaptive Mixed High-Order method with application to electrostatics

DA Di Pietro, R Specogna - Journal of Computational Physics, 2016 - Elsevier
In this work we propose an adaptive version of the recently introduced Mixed High-Order
method and showcase its performance on a comprehensive set of academic and industrial …

A comparison of element agglomeration algorithms for unstructured geometric multigrid

S Dargaville, AG Buchan… - … of Computational and …, 2021 - Elsevier
This paper compares the performance of seven different element agglomeration algorithms
on unstructured triangular/tetrahedral meshes when used as part of a geometric multigrid …

AMGe---coarsening strategies and application to the Oseen equations

M Wabro - SIAM Journal on Scientific Computing, 2006 - SIAM
We provide some extensions to the algebraic multigrid method based on element
interpolation (AMGe), concerning the agglomeration process, the application to …

An agglomeration‐based adaptive discontinuous Galerkin method for compressible flows

G Zenoni, T Leicht, A Colombo… - International Journal for …, 2017 - Wiley Online Library
In this work, we exploit the possibility to devise discontinuous Galerkin discretizations over
polytopic grids to perform grid adaptation strategies on the basis of agglomeration …

Multigrid and Mesh Refinement Methods

AA Amit - 2022 - qmro.qmul.ac.uk
Gradient-based aerodynamic shape optimisation using adjoint methods have received
major interest in the engineering community, as cost of computing CFD output gradients …