Preconditioning a mass‐conserving discontinuous Galerkin discretization of the Stokes equations

DOI10.1002/nla.2047zbMath1424.65217OpenAlexW2336877474MaRDI QIDQ5355090

Scott MacLachlan, J. H. Adler, Thomas R. Benson

Publication date: 6 September 2017

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.2047

zbMATH Keywords

Stokes equationsdiscontinuous Galerkinmonolithic multigridblock-factorization preconditioners

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) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (12)

A restricted additive vanka smoother for geometric multigrid ⋮ Constrained Optimization for Liquid Crystal Equilibria ⋮ An enriched Galerkin method for the Stokes equations ⋮ \(p\)-multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity ⋮ Local Fourier analysis for mixed finite-element methods for the Stokes equations ⋮ Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow ⋮ Algebraic Multigrid for Stokes Equations ⋮ Fast multigrid solution of high-order accurate multiphase Stokes problems ⋮ Local Fourier Analysis of Multigrid for Hybridized and Embedded Discontinuous Galerkin Methods ⋮ A new mixed finite-element method for \(H^2\) elliptic problems ⋮ Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity

Uses Software

• Trilinos
• FEniCS

This page was built for publication: Preconditioning a mass‐conserving discontinuous Galerkin discretization of the Stokes equations