A low-rank solver for the stochastic unsteady Navier-Stokes problem

DOI10.1016/j.cma.2020.112948zbMath1442.76065arXiv1906.06785OpenAlexW3009271674MaRDI QIDQ2180469

Howard C. Elman, Tengfei Su

Publication date: 14 May 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06785

zbMATH Keywords

stochastic Galerkin methodlow-rank tensor approximationall-at-once systemtime-dependent Navier-Stokes

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Statistical solutions of Navier-Stokes and related equations (76D06) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (3)

A stochastic Galerkin method with adaptive time-stepping for the Navier-Stokes equations ⋮ A phase-field model and its efficient numerical method for two-phase flows on arbitrarily curved surfaces in 3D space ⋮ Stochastic discontinuous Galerkin methods with low-rank solvers for convection diffusion equations

Uses Software

• IFISS
• TT Toolbox
• GitHub

Cites Work

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