BUBBLE STABILIZED DISCONTINUOUS GALERKIN METHOD FOR STOKES' PROBLEM

DOI10.1142/S0218202510004234zbMath1191.65149OpenAlexW2028149793WikidataQ60146781 ScholiaQ60146781MaRDI QIDQ5305087

Erik Burman, Benjamin Stamm

Publication date: 19 March 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202510004234

zbMATH Keywords

convergenceinf-sup conditiondiscontinuous Galerkin methodslinear finite elementsbubble stabilizationStokes' problem

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) 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)

Related Items (7)

An advection-robust hybrid high-order method for the Oseen problem ⋮ Performance of nonconforming spectral element method for Stokes problems ⋮ Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems ⋮ A posteriori error estimates of discontinuous Galerkin method for nonmonotone quasi-linear elliptic problems ⋮ A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach ⋮ Penalty-free discontinuous Galerkin methods for incompressible Navier–Stokes equations ⋮ The NonConforming Virtual Element Method for the Stokes Equations

Uses Software

• FreeFem++

Cites Work

• Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
• Discontinuous finite element methods for incompressible flows on subdomains with non-matching interfaces
• Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment
• Finite Element Methods for Navier-Stokes Equations
• Poincaré--Friedrichs Inequalities for Piecewise H¹ Functions
• Local Discontinuous Galerkin Methods for the Stokes System
• HP DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE STOKES PROBLEM
• A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
• Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems

This page was built for publication: BUBBLE STABILIZED DISCONTINUOUS GALERKIN METHOD FOR STOKES' PROBLEM