A Posteriori Error Estimates for Finite Element Approximation of Unsteady Incompressible Stochastic Navier–Stokes Equations

DOI10.1137/080732080zbMath1352.65377OpenAlexW1996795707MaRDI QIDQ2999849

Yuan-Yuan Duan, Yuhua Guo, Xiao-Yuan Yang

Publication date: 17 May 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://epubs.siam.org/sinum/resource/1/sjnaam/v48/i4/p1579_s1

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Variational methods applied to problems in fluid mechanics (76M30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items (5)

Error estimates of finite element methods for fractional stochastic Navier-Stokes equations ⋮ A posteriorianalysis of finite element discretizations of stochastic partial differential delay equations ⋮ Numerical ergodicity of two dimensional stochastic Navier-Stokes equations with Gaussian noise ⋮ Numerically computable a posteriori-bounds for the stochastic Allen-Cahn Equation ⋮ Analysis of fully discrete mixed finite element methods for time-dependent stochastic Stokes equations with multiplicative noise

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