Auxiliary Equations Approach for the Stochastic Unsteady Navier--Stokes Equations with Additive Random Noise

DOI10.4208/nmtma.OA-2019-0055zbMath1463.65317MaRDI QIDQ5143930

Wenju Zhao, Max D. Gunzburger

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

Galerkin finite element methodwhite noisestochastic Navier-Stokes equationsmartingale regularization method

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Fractional partial differential equations (35R11) Regularization by noise (60H50)

Related Items (4)

Numerical Simulations of Stochastic Differential Equations with Multiple Conserved Quantities by Conservative Methods ⋮ An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative ⋮ Strong optimal error estimates of discontinuous Galerkin method for multiplicative noise driving nonlinear <scp>SPDEs</scp> ⋮ Higher order weak Galerkin methods for the Navier–Stokes equations with large Reynolds number

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