摘要
An optimal control problem governed by the Stokes equations with L^2-norra state constraints is studied. Finite element approximation is constructed. The optimality conditions of both the exact and discretized problems are discussed, and the a priori error estimates of the optimal order accuracy in L^2-norm and H^1-norm are given. Some numerical experiments are presented to verify the theoretical results.
An optimal control problem governed by the Stokes equations with L^2-norra state constraints is studied. Finite element approximation is constructed. The optimality conditions of both the exact and discretized problems are discussed, and the a priori error estimates of the optimal order accuracy in L^2-norm and H^1-norm are given. Some numerical experiments are presented to verify the theoretical results.
基金
Acknowledgments. Research supported partially by National Natural Science Foundation of China, Grant 11071080
Program of Shanghai Subject Chief Scientist, No. 09XD1401600
Fundamental Research Funds for the Central Universities of China and Shanghai Leading Academic Discipline Project： B407.
