Multigrid methods for saddle point systems using constrained smoothers

DOI10.1016/j.camwa.2015.09.020zbMath1443.65298OpenAlexW2191160962MaRDI QIDQ2006569

Long Chen

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.09.020

zbMATH Keywords

mixed finite elementsmultigrid methodsStokes equationssaddle point system

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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)

Related Items (7)

Scalable preconditioning for the stabilized contact mechanics problem ⋮ Fast multilevel solvers for a class of discrete fourth order parabolic problems ⋮ Mixed schemes for quad-curl equations ⋮ A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures ⋮ Local Fourier analysis for mixed finite-element methods for the Stokes equations ⋮ Multigrid methods for a mixed finite element method of the Darcy-Forchheimer model ⋮ Fast multigrid solution of high-order accurate multiphase Stokes problems

Cites Work

• Unnamed Item
• Multigrid methods for saddle point problems: Stokes and Lamé systems
• An efficient smoother for the Stokes problem
• Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
• A cascadic multigrid algorithm for the Stokes equations
• A discrete divergence-free basis for finite element methods
• On Schwarz-type smoothers for saddle point problems
• A class of smoothers for saddle point problems
• On the abstract theory of additive and multiplicative Schwarz algorithms
• Convergence of the multigrid $V$-cycle algorithm for second-order boundary value problems without full elliptic regularity
• Preconditioning discretizations of systems of partial differential equations
• Deriving the X-Z Identity from Auxiliary Space Method*
• A Multilevel Algorithm for Mixed Problems
• Convergence Estimates for Multigrid Algorithms without Regularity Assumptions
• Numerical solution of saddle point problems
• Finite elements for incompressible flow
• An Optimal Order Process for Solving Finite Element Equations
• Mixed and Hybrid Finite Element Methods
• Iterative Methods by Space Decomposition and Subspace Correction
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• The method of alternating projections and the method of subspace corrections in Hilbert space
• An Efficient Iterative Method for the Generalized Stokes Problem
• New Estimates for Multilevel Algorithms Including the V-Cycle
• The Analysis of Multigrid Algorithms with Nonnested Spaces or Noninherited Quadratic Forms
• Remarks on multilevel bases for divergence-free finite elements

This page was built for publication: Multigrid methods for saddle point systems using constrained smoothers