[PDF] Top 20 A priori error estimates for higher order variational discretization and mixed finite element methods of optimal control problems

... Optimal control problems have been so widely met in all kinds of practical ...the optimal control problems ...the control is to make the temperature distribution y as ... See full document

... finite element discretization of optimal control problems has been extensively inves- tigated in early ...elliptic optimal control problems by Falk [] and Geveci ... See full document

... a priori error estimates for nonlinear parabolic optimal control problems by mixed finite element ...posteriori error estimates of triangular ... See full document

... a priori error estimates is investigated for variational discretization and mixed finite element methods of the semilinear parabolic optimal ... See full document

... posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic ...the order k ... 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

... Optimal control problems have attracted substantial interest in recent years due to their applications in aero-hydrodynamics, atmospheric, hydraulic pollution problems, combus- tion, ... See full document

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

... posteriori error indicator. A posteriori error estimates are computable quan- tities in terms of the discrete solution that measure the actual discrete errors without the knowledge of exact ...a ... 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 approximation of ... See full document

... Optimal control problems have been extensively used in many aspects of the modern life such as social, economic, scientific and engineering numerical simulation ...[]. Finite element ... See full document

... the mixed finite element method and the backward Euler discretization, and then we con- struct the approximation for the optimal control problems ...duality problems, we ... See full document

... each element directly when the phase splitting is computed and thus in our method no artificial pressure equation ...even higher for non-cubic equa- tions of state like the Cubic-Plus-Association (CPA) ... See full document

... posteriori error estimators for a linear–quadratic optimal control problem involving the generalized Oseen equations as state equations; control constraints are also ...local error ... See full document

... a priori error estimates by relating the latter to the original surface via the lift in- troduced in Dziuk ...The estimates suggested that the geometric error terms arising from the ... See full document

... flow problems. 1 The software package includes algorithms for discretization by mixed finite element methods and a posteriori error estimation of the computed solutions, together ... See full document

... value problems for second order equation governed by the variational ...finite element approximation and its explicit error estimates for the ...of variational inequalities ... See full document

... fitted FEM approximation to the elliptic interface OCP (1)- (2), which could also be extended to parabolic and hyperbolic OCPs. This method was studied in [5] for solving interface problems and obtained the ... See full document

... fractional optimal control prob- lem (FOCP) were first proposed in [], where the fractional variational principle and the Lagrange multiplier technique were ...classical control theory to a ... See full document

... In Chapter 6 , we use the method developed earlier to establish a variational formulation for a class of nonlinear vectorial boundary value problems and to derive error estimates for the[r] ... See full document