Penalty-Factor-Free Discontinuous Galerkin Methods for 2-Dim Stokes Problems

DOI10.1137/10079094XzbMath1298.76119MaRDI QIDQ3116403

Jiangguo Liu

Publication date: 22 February 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

Stokes problemsnonconforming finite elementsflux jumpsdiscontinuous Galerkin (DG) methodsdivergence residualslocally divergence-free (LDF)weak over penalization

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

A weak Galerkin finite element scheme for solving the stationary Stokes equations ⋮ Penalty-Factor-Free Stabilized Nonconforming Finite Elements for Solving Stationary Navier-Stokes Equations ⋮ A discontinuous Galerkin method for Stokes equation by divergence‐free patch reconstruction ⋮ A finite element method by patch reconstruction for the Stokes problem using mixed formulations ⋮ A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach ⋮ A lowest-order weak Galerkin finite element method for Stokes flow on polygonal meshes ⋮ Simplified weak Galerkin and new finite difference schemes for the Stokes equation ⋮ An absolutely stable weak Galerkin finite element method for the Darcy-Stokes problem ⋮ Pressure recovery for weakly over-penalized discontinuous Galerkin methods for the Stokes problem

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