A Penalized Neumann Control Approach for Solving an Optimal Dirichlet Control Problem for the Navier--Stokes Equations
- 1 September 1998
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 36 (5) , 1795-1814
- https://doi.org/10.1137/s0363012996304870
Abstract
No abstract availableThis publication has 17 references indexed in Scilit:
- Boundary Value Problems and Optimal Boundary Control for the Navier--Stokes System: the Two-Dimensional CaseSIAM Journal on Control and Optimization, 1998
- Optimal chattering controls for viscous flowNonlinear Analysis, 1995
- Necessary and sufficient conditions for optimal controls in viscous flow problemsProceedings of the Royal Society of Edinburgh: Section A Mathematics, 1994
- Existence of optimal controls for viscous flow problemsProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1992
- Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with distributed and Neumann controlsMathematics of Computation, 1991
- Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controlsESAIM: Mathematical Modelling and Numerical Analysis, 1991
- On some control problems in fluid mechanicsTheoretical and Computational Fluid Dynamics, 1990
- PROPERTIES OF SOLUTIONS OF SOME EXTREMAL PROBLEMS CONNECTED WITH THE NAVIER-STOKES SYSTEMMathematics of the USSR-Sbornik, 1983
- CONTROL PROBLEMS AND THEOREMS CONCERNING THE UNIQUE SOLVABILITY OF A MIXED BOUNDARY VALUE PROBLEM FOR THE THREE-DIMENSIONAL NAVIER-STOKES AND EULER EQUATIONSMathematics of the USSR-Sbornik, 1982
- The finite element method with penaltyMathematics of Computation, 1973