A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow
type: Item
instance of: scholarly article
title: A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow
zbMATH Open document ID: 1423.76259
author: Xianqiang Yang
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2019-03-27T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 7043238
zbMATH Keywords: Stokes flow
zbMATH Keywords: preconditioners
zbMATH Keywords: multigrid
zbMATH Keywords: parallel scalability
zbMATH Keywords: geodynamics
describes a project that uses: MUMPS
describes a project that uses: PETSc
describes a project that uses: pTatin3D
describes a project that uses: SuperLU
describes a project that uses: symrcm
describes a project that uses: UMFPACK
MaRDI profile type: Publication
Wikidata QID: Q57858853
full work available at URL: j.cma.2015.03.014
OpenAlex ID: W1998902021
cites work: Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
cites work: A particle method for history-dependent materials
cites work: A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials.
cites work: A stabilized finite element method for the Stokes problem based on polynomial pressure projections
cites work: Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems
cites work: Mixed and Hybrid Finite Element Methods
cites work: Q3664299
cites work: An Iterative Method for the Stokes-Type Problem with Variable Viscosity
cites work: On the quadrilateralQ2-P1 element for the Stokes problem
cites work: The inf-sup condition for the mapped \(Q_k-P_{k-1}^{\text{disc}}\) element in arbitrary space dimensions
cites work: Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
cites work: Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
cites work: Globally Convergent Inexact Newton Methods
cites work: Choosing the Forcing Terms in an Inexact Newton Method
cites work: A Flexible Inner-Outer Preconditioned GMRES Algorithm
cites work: Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
cites work: Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations
cites work: Q5702543
cites work: A Note on Preconditioning for Indefinite Linear Systems
cites work: Parallel multigrid smoothing: Polynomial versus Gauss--Seidel
cites work: Toward an h-Independent Algebraic Multigrid Method for Maxwell's Equations
cites work: A scalable multi-level preconditioner for matrix-free µ-finite element analysis of human bone structures
cites work: Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations
cites work: Comparison of the deflated preconditioned conjugate gradient method and algebraic multigrid for composite materials
cites work: Efficient nonlinear solvers for nodal high-order finite elements in 3D
cites work: Algorithm 832
cites work: A fully asynchronous multifrontal solver using distributed dynamic scheduling
cites work: An overview of SuperLU
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
DOI: 10.1016/J.CMA.2015.03.014
description: scientific article; zbMATH DE number 7043238