Analysis of hybrid discontinuous Galerkin methods for linearized Navier–Stokes equations

DOI10.1002/num.22880OpenAlexW4224284450WikidataQ114235136 ScholiaQ114235136MaRDI QIDQ6069515

Youngmok Jeon, Dong-wook Shin, Eun-Jae Park

Publication date: 16 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22880

zbMATH Keywords

discontinuous Galerkinhybridizationstationary Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

On low Reynolds number optimization of non‐linear partial differential equations for <scp>convergent–divergent</scp> engulfment: A numerical result

Cites Work

• Unnamed Item
• Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems
• Block preconditioners for LDG discretizations of linear incompressible flow problems
• A posteriori error estimators for the upstream weighting mixed methods for convection diffusion problems
• Analysis of a pressure-stabilized finite element approximation of the stationary Navier-Stokes equations
• A priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equations
• Devising \(\mathbf{HDG}\) methods for Stokes flow: an overview
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• New locally conservative finite element methods on a rectangular mesh
• A high order discontinuous Galerkin method with skeletal multipliers for convection-diffusion-reaction problems
• High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
• Blending low-order stabilised finite element methods: a positivity-preserving local projection method for the convection-diffusion equation
• A discontinuous skeletal method for the viscosity-dependent Stokes problem
• An analysis of a weak Galerkin finite element method for stationary Navier-Stokes problems
• A hybrid discontinuous Galerkin method for advection-diffusion-reaction problems
• A stabilized non-conforming finite element method for incompressible flow
• A weak Galerkin finite element method for the Oseen equations
• Stabilization mechanisms in discontinuous Galerkin finite element methods
• A hybridized finite element method for the Stokes problem
• A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems
• Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
• Beyond pressure stabilization: A low-order local projection method for the Oseen equation
• Energy Stable and Momentum Conserving Hybrid Finite Element Method for the Incompressible Navier–Stokes Equations
• A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes
• A Hybrid Discontinuous Galerkin Method for Elliptic Problems
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Continuous Interior Penalty Finite Element Method for Oseen's Equations
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A Nonconforming Finite Element Method for the Stationary Navier--Stokes Equations
• The local discontinuous Galerkin method for the Oseen equations
• Mixed Upwinding Covolume Methods on Rectangular Grids for Convection-Diffusion Problems
• A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
• Mixed Finite Element Methods and Applications
• hp analysis of a hybrid DG method for Stokes flow
• Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
• A Unified Analysis for Conforming and Nonconforming Stabilized Finite Element Methods Using Interior Penalty
• A weak Galerkin finite element method for the Navier-Stokes equations

This page was built for publication: Analysis of hybrid discontinuous Galerkin methods for linearized Navier–Stokes equations