Stochastic collocation method for stochastic optimal boundary control of the Navier-Stokes equations

DOI10.1007/s00245-022-09910-yzbMath1502.65229OpenAlexW4308463808MaRDI QIDQ2096954

Max D. Gunzburger, Wenju Zhao

Publication date: 11 November 2022

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-022-09910-y

zbMATH Keywords

optimal controlstochastic Navier-Stokes equationsnecessary condition for optimalitystochastic boundary condition

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimal stochastic control (93E20) Navier-Stokes equations (35Q30) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Uses Software

• PETSc
• Trilinos

Cites Work

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