Error analysis of finite element approximations of the stochastic Stokes equations

DOI10.1007/s10444-009-9127-6zbMath1237.65008OpenAlexW2140972750MaRDI QIDQ983696

Yanzhao Cao, Zheng Chen, Max D. Gunzburger

Publication date: 24 July 2010

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-009-9127-6

zbMATH Keywords

algorithmsconvergencenumerical resultsfinite element methodswhite noisestochastic Stokes equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

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Numerical analysis of fully discrete finite element methods for the stochastic Navier-Stokes equations with multiplicative noise, Numerical solution of stochastic elliptic partial differential equations using the meshless method of radial basis functions, A virtual element method for stochastic Stokes equations, Analysis of fully discrete mixed finite element methods for time-dependent stochastic Stokes equations with multiplicative noise, Descriptions, Discretizations, and Comparisons of Time/Space Colored and White Noise Forcings of the Navier--Stokes Equations, Full-discrete finite element method for the stochastic elastic equation driven by additive noise

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