Block triangular preconditioners for linearization schemes of the Rayleigh–Bénard convection problem

DOI10.1002/nla.2096zbMath1424.65214OpenAlexW2659701650MaRDI QIDQ4599012

Eugenio Aulisa, Giorgio Bornia, Guoyi Ke, Victoria E. Howle

Publication date: 15 December 2017

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

Full work available at URL: https://doi.org/10.1002/nla.2096

zbMATH Keywords

finite element methodsincompressible flowRayleigh-Bénard convectionmultiphysicsblock preconditioning

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

Related Items (7)

Augmented Lagrangian-based preconditioners for steady buoyancy driven flow ⋮ FOV-equivalent block triangular preconditioners for generalized saddle-point problems ⋮ New preconditioning techniques for the steady and unsteady buoyancy driven flow problems ⋮ Construction of H-Refined Continuous Finite Element Spaces with Arbitrary Hanging Node Configurations and Applications to Multigrid Algorithms ⋮ A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient ⋮ Field-of-values analysis of preconditioned linearized Rayleigh-Bénard convection problems ⋮ Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids

Uses Software

• Trilinos
• Belos

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