Optimal Boundary Control of the Stokes Fluids with Point Velocity Observations

DOI10.1137/S0363012996300276zbMath0916.49018MaRDI QIDQ4388944

Zhonghai Ding, Puhong You, Jian Xin Zhou

Publication date: 10 May 1998

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

necessary optimality conditionsboundary integral equationoptimal control problemLQRStokes fluiddistributed boundary controlsingularity decompositionpoint observationhydrostatic potential

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Stokes and related (Oseen, etc.) flows (76D07) Linear-quadratic optimal control problems (49N10) Existence theories for optimal control problems involving partial differential equations (49J20) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem, A new global divergence free and pressure-robust HDG method for tangential boundary control of Stokes equations, Pointwise control of the Boussinesq system, Boundary element methods for Dirichlet boundary control problems, Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system, A class of embedded DG methods for Dirichlet boundary control of convection diffusion PDEs