Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling
DOI10.1007/s10915-023-02203-8arXiv2112.00089OpenAlexW4376128615MaRDI QIDQ6101681
Lukas Kogler, Jay Gopalakrishnan, Philip L. Lederer, Joachim Schöberl
Publication date: 20 June 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.00089
mixed finite elementsincompressible Stokes equationshybrid discontinuous Galerkin methodsdiscrete Korn inequalitypressure-robustness
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Incompressible viscous fluids (76Dxx)
Related Items (3)
Cites Work
- Unnamed Item
- On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime
- A discrete de Rham complex with enhanced smoothness
- A family of mixed finite elements for the elasticity problem
- Dual hybrid methods for the elasticity and the Stokes problems: A unified approach
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- Review and complements on mixed-hybrid finite element methods for fluid flows
- High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
- Reduced symmetry elements in linear elasticity
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- A second elasticity element using the matrix bubble
- A New Mixed Finite Element for the Stokes and Elasticity Problems
- Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
- A new elasticity element made for enforcing weak stress symmetry
- Mixed finite element methods for linear elasticity with weakly imposed symmetry
- PEERS: A new mixed finite element for plane elasticity
- Nonconforming Finite Element Methods for the Equations of Linear Elasticity
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Hybrid Discontinuous Galerkin Methods with Relaxed H(div)-Conformity for Incompressible Flows. Part I
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- Korn's inequalities for piecewise $H^1$ vector fields
- Mixed Finite Element Methods and Applications
- Uniform Auxiliary Space Preconditioning for HDG Methods for Elliptic Operators with a Parameter Dependent Low Order Term
- A Mass Conserving Mixed Stress Formulation for Stokes Flow with Weakly Imposed Stress Symmetry
- Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II
- Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements
- An observation on Korn’s inequality for nonconforming finite element methods
- Parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations
- A mass conserving mixed stress formulation for the Stokes equations
This page was built for publication: Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling