Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier–Stokes equations

PW Schroeder, C Lehrenfeld, A Linke, G Lube - SeMA Journal, 2018 - Springer
Inf-sup stable FEM applied to time-dependent incompressible Navier–Stokes flows are
considered. The focus lies on robust estimates for the kinetic and dissipation energies in a …

An embedded–hybridized discontinuous Galerkin finite element method for the Stokes equations

S Rhebergen, GN Wells - Computer Methods in Applied Mechanics and …, 2020 - Elsevier
We present and analyze a new embedded–hybridized discontinuous Galerkin finite element
method for the Stokes problem. The method has the attractive properties of full hybridized …

[HTML][HTML] An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements

E Zampa, M Dumbser - Journal of Computational Physics, 2025 - Elsevier
We present a novel asymptotic-preserving semi-implicit finite element method for weakly
compressible and incompressible flows based on compatible finite element spaces. The …

The Stokes complex: A review of exactly divergence–free finiteelement pairsfor incompressibleflows

M Neilan - 75 Years of Mathematics of Computation: Symposium …, 2020 - books.google.com
The Stokes complex: A review of exactly divergence–free finiteelement pairsfor
incompressibleflows Page 152 Contemporary Mathematics Volume 754 , 2020 https://doi …

Hybrid discontinuous Galerkin methods with relaxed H (div)-conformity for incompressible flows. Part I

PL Lederer, C Lehrenfeld, J Schöberl - SIAM Journal on Numerical Analysis, 2018 - SIAM
We propose a new discretization method for the Stokes equations. The method is an
improved version of the method recently presented in C. Lehrenfeld and J. Schöberl …

Preconditioning of a hybridized discontinuous Galerkin finite element method for the Stokes equations

S Rhebergen, GN Wells - Journal of Scientific Computing, 2018 - Springer
We present optimal preconditioners for a recently introduced hybridized discontinuous
Galerkin finite element discretization of the Stokes equations. Typical of hybridized …

[HTML][HTML] Design and analysis of an exactly divergence-free hybridised discontinuous Galerkin method for incompressible flows on meshes with quadrilateral cells

JP Dean, S Rhebergen, GN Wells - Computer Methods in Applied …, 2023 - Elsevier
We generalise a hybridised discontinuous Galerkin method for incompressible flow
problems to non-affine cells, showing that with a suitable element mapping the generalised …

HDGlab: An Open-Source Implementation of the Hybridisable Discontinuous Galerkin Method in MATLAB

M Giacomini, R Sevilla, A Huerta - Archives of Computational Methods in …, 2021 - Springer
This paper presents HDGlab, an open source MATLAB implementation of the hybridisable
discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of …

Hybridizable Discontinuous Galerkin Methods for the Two-Dimensional Monge–Ampère Equation

NC Nguyen, J Peraire - Journal of Scientific Computing, 2024 - Springer
We introduce two hybridizable discontinuous Galerkin (HDG) methods for numerically
solving the two-dimensional Monge–Ampère equation. The first HDG method is devised to …

A hybridizable discontinuous Galerkin method for the coupled Navier–Stokes and Darcy problem

A Cesmelioglu, S Rhebergen - Journal of Computational and Applied …, 2023 - Elsevier
We present and analyze a strongly conservative hybridizable discontinuous Galerkin finite
element method for the coupled incompressible Navier–Stokes and Darcy problem with …