[PDF] Top 20 Superconvergence of semidiscrete finite element methods for bilinear parabolic optimal control problems

... the superconvergence of finite element approximation of bilinear elliptic control ...finite element approximation for linear elliptic control problems can be found in [, ... See full document

... In this section, we shall study the mixed finite element and the backward Euler discretiza- tion approximation of convective diffusion optimal control problems (.)-(.). For the sake of ... See full document

... finite element method for the approximation of optimal control problems governed by reaction-diffusion ...finite element methods, the main contributions of this paper are as ... See full document

... finite element methods for quadratic boundary optimal control problems governed by nonlinear parabolic ...finite element approximation for nonlinear quadratic ... See full document

... integro-differential optimal control problems are very important for modeling in ...of parabolic integro-differential optimal control prob- lems plays a very important role in the ... See full document

... Optimal control problems governed by elliptic equations are important problems in engineering ...numerical methods are critical for successful applica- tions of optimal ... 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

... quadratic parabolic optimal control problem is ...finite element spaces, and the control is approximated by piecewise polynomials of order k (k ≥ ... See full document

... mixed finite element methods for optimal control problem governed by semi linear parabolic equations with integral ...mixed finite element spaces and the ... See full document

... nonlinear parabolic optimal control problems by mixed finite element ...finite element methods for semilin- ear elliptic optimal control ...finite ... See full document

... finite element approximation for optimal control problems has an enormously im- portant function in the numerical approach for these ...finite element approximations, such as [1, 16, 23], ... See full document

... interpolated finite element operators ...global superconvergence of the error between u and the interpolation of ...the optimal partition to most rectangular meshes to derive one and a half- ... See full document

... that optimal control and optimization problems are approximated by many numerical methods, such as standard finite element methods (FEMs), mixed FEMs, space-time FEMs, finite ... See full document

... temperature control. Both examples are related to optimization and control of vapuor transport process for crystal ...temperature control is considered, tracking a desired history of the freezing ... See full document

... “A Superconvergence Analysis for Finite Ele- ment Solutions by the Least-Squares Surface Fitting on Irregular Meshes for Smooth Problems,” Journal of Mathematical Study, ... 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 dynamics, medicine, ... See full document

... finite element discretization for the optimal control problems governed by integro-differential equations and briefly state the definitions and properties of some interpolation ...the ... See full document

... nonvariational problems and their discretization in Dune-Fempy ...existing methods in the literature, and compare them along with a new method proposed in this ...previous methods, implemented in ... See full document

... From medical experiments, it has been observed that in a biological system, normal cell can live along with the tumor cell. If they are in equilibrium, then it will not harm the health of the patients. If the number of ... See full document

... ( , ) σ v − ( K v τ , ) = ∀ ∈ 0, v V . (1.3) The plan of this paper is as follows. In Section 2, a new semi-discrete mixed finite element scheme is constructed for parabolic equations. In Section 3, ... See full document