登入選單
返回Google圖書搜尋
Adaptive Finite Element Methods
Wenbin LiuNingning Yan
其他書名
Optimal Control Governed by PDEs
出版Science Press, 2012
主題Mathematics / Discrete MathematicsMathematics / Probability & Statistics / GeneralScience / Physics / Mathematical & ComputationalTechnology & Engineering / Materials Science / General
ISBN18426571519781842657157
URLhttp://books.google.com.hk/books?id=STpGYAAACAAJ&hl=&source=gbs_api
註釋Ch. 1 Introduction -- 1.1. Examples of optimal control for elliptic systems -- 1.2. Examples of optimal control for evolution equations -- 1.3. Examples of optimal control for flow -- 1.4. Shape optimal control -- ch. 2 Existence and Optimality Conditions of Optimal Control -- 2.1. Existence of optimal control -- 2.2. Optimality conditions of optimal control -- ch. 3 Finite Element Approximation of Optimal Control -- 3.1. Finite element schemes for elliptic optimal control -- 3.2. Mixed finite element schemes for elliptic optimal control -- 3.3. Optimal control governed by Stokes equations -- 3.4. Finite element method for boundary control -- ch. 4 A Priori Error Estimates for Optimal Control (I) -- 4.1.A priori error estimates for distributed elliptic control -- 4.2.A priori error estimates for elliptic boundary control -- 4.3. Superconvergence analysis for distributed elliptic control -- 4.4. Further developments on superconvergence -- ch. 5 A Priori Error Estimates for Optimal Control (II) -- 5.1.A priori error estimates of mixed FEM for elliptic control -- 5.2. Superconvergence of mixed FEM for elliptic control -- 5.3.A priori error estimates for Stokes control -- 5.4. Superconvergence for Stokes control -- ch. 6 Adaptivity Finite Element Method for Optimal Control -- 6.1. Adaptive finite element method for elliptic equations -- 6.2. Adaptive finite element method for optimal control -- ch. 7 A Posteriori Error Estimates for Optimal Control -- 7.1.A posteriori error estimates for distributed control -- 7.2.A posteriori error estimates with lower and upper bounds -- 7.3. Sharp a posteriori error estimates for constraints of obstacle type -- 7.4.A posteriori error estimates in L2-norm -- 7.5.A posteriori error estimates for nonlinear control -- 7.6.A posteriori error estimates for boundary control -- ch. 8 Numerical Computations of Optimal Control -- 8.1. Numerical solutions of optimal control -- 8.2.A preconditioned projection algorith.