[PDF] Top 20 A posteriori error estimates of mixed finite element methods for general optimal control problems governed by integro differential equations

... many control problems, the objective functional contains the gradient of the state ...state equations. Mixed finite element methods are appropriate for the state equations ... See full document

... finite element methods for quadratic boundary optimal control problems governed by nonlinear parabolic ...a posteriori error estimates for the state and ... See full document

... the optimal con- trol problem governed by integro-differential equations of hyperbolic type, and then its finite element ...priori error estimates for the constrained ... See full document

... a posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic ...Raviart–Thomas ... See full document

... priori error estimates for the optimal control problems governed by elliptic equations using higher order variational discretization and mixed finite ... See full document

... that optimal control problems governed by partial differential equations (PDEs, for short) play a great role in modern science, technology, engineering and so ...finite element ... See full document

... finite element meth- ods for optimal control problems in [, ...finite element method for optimal control prob- lems is rather ...constrained optimal control ... See full document

... Ptimal control problems (OCPs) governed partial dif- ferential equations are playing an increasingly crucial role in a lot of engineering applications, such as chemical processes, fluid ... See full document

... many control problems, the objective functional contains the gradient of state vari- ...state equations. Mixed finite element methods are appropriate for the state equa- tions in ... See full document

... priori error estimates and superconvergence for linear quadratic optimal control problems using mixed finite-element ...ori error estimates of mixed ... See full document

... the mixed finite element methods for quadratic optimal control problems governed by convective diffusion ...Raviart-Thomas mixed finite element spaces and the ... See full document

... differential equations are more appropriate for the description of memorial and hereditary properties of various materials and processes than the previously used integer order models, and, as a result, a number of ... See full document

... a posteriori error estimates for the spectral ap- proximation of an optimal control problem governed by nonlinear parabolic ...a posteriori error estimates ... See full document

... and optimal order error estimates were ...elliptic problems, [11] studied the multi- grid block krylov subspace spectral method, and some nu- merical results were shown to demonstrate the ... See full document

... residual error (dash-dot ...this optimal solver can be seen using the ifiss routine ...for problems in incompressible fluid flow [1, ...test problems in a much more general way, for ... See full document

... the error estimate indicator has to be highly positively correlated to the singu- larity of the solutions to be ...a posteriori error indicators is vital for effectiveness of AFEM ... See full document

... the mixed element spaces is ...constrained optimal control problems, and then a priori error analysis in a weighted norm is ... See full document

... finite element approximation of parabolic optimal control problems, mostly focused on linear or semilinear ...ori error estimates of space-time finite element and standard ... See full document

... [r] ... See full document

... the control variable is approximated by implicit discretization ...parabolic equations, a posteriori error estimates for state variable, adjoint state variable and control ... See full document