Weighted BFBT Preconditioner for Stokes Flow Problems with Highly Heterogeneous Viscosity

DOI10.1137/16M108450XzbMath1392.65039arXiv1607.03936OpenAlexW2497021759MaRDI QIDQ5372629

Omar Ghattas, Georg Stadler, Johann Rudi

Publication date: 27 October 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03936

zbMATH Keywords

Schur complementpreconditioningparallel computingmultigridvariable viscosityStokesscalable algorithms

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Non-Newtonian fluids (76A05) 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) Parallel numerical computation (65Y05) Preconditioners for iterative methods (65F08)

Related Items (11)

Box-relaxation based multigrid solvers for the variable viscosity Stokes problem ⋮ Schur preconditioning of the Stokes equations in channel-dominated domains ⋮ On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity ⋮ Robust Multigrid Techniques for Augmented Lagrangian Preconditioning of Incompressible Stokes Equations with Extreme Viscosity Variations ⋮ Comparison of block preconditioners for the Stokes problem with discontinuous viscosity and friction ⋮ Equal-order finite element method for the Stokes equations with variable viscosity ⋮ BDDC Preconditioners for Virtual Element Approximations of the Three-Dimensional Stokes Equations ⋮ Stencil Scaling for Vector-Valued PDEs on Hybrid Grids With Applications to Generalized Newtonian Fluids ⋮ Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity ⋮ High-order finite element methods for a pressure Poisson equation reformulation of the Navier-Stokes equations with electric boundary conditions ⋮ Incorporating variable viscosity in vorticity-based formulations for Brinkman equations

Uses Software

• PETSc
• FEniCS
• SyFi
• p4est
• ASPECT
• pTatin3D

Cites Work

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