[PDF] Top 20 A Prior Error Estimate for Linear Finite Element Approximation to Interface Optimal Control Problems

... The interface OCP (1)-(2) has remarkable application backgrounds, such as the optimization or optimal control of a process in a domain which is composed of several materials separated by ...the ... See full document

... finite element approximation for nonlinear parabolic optimal control ...posteriori error estimates for the optimal control ... See full document

... finite element methods for general convex optimal control problems governed by integro-differential ...finite element spaces and the control is discretized by piecewise constant ... See full document

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

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

... finite element method for solving bilinear parabolic optimal control problems is ...finite element approximation of the model ...their error estimates. Thirdly, we derive a ... See full document

... important optimal control problems is how to drive the corresponding trajectory of the equation from an initial state to a given target set in the shortest time, through applying constrained ...of ... See full document

... Optimal control problems have been successfully utilized in scientific and engineering numerical ...finite element method was a good choice for solving partial differential ...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

... posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic ...and control is discretized by piecewise ... 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 ... See full document

... distributed optimal control problem has been a classic research topic in the discipline of applied ...nite element approximations of optimal control problems governed by partial ... See full document

... posteriori error estimates for the hp finite element approximation of semilinear Neumann boundary elliptic optimal control ...finite element approximation for both the state ... 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

... PDE optimal control problems with objective functionals that contain point evaluations of the ...such problems. [Tr¨ oltzsch, 2010] formulates an optimal control problem where ... See full document

... Interface problems arise in a diverse range of applications such as heat conduction, multiphase flows and phase transitions in fluid mechanics, thin film and crystal growth simulations in material science, ... See full document

... rotations as the primary nodal variables; to satisfy the continuity requirement each node has both deflection and slope as nodal variables. Since there are four nodal variables for the beam element, a cubic ... See full document

... multiscale finite element methods (MsFEM) [13] solve local problems with fine mesh to build basis functions that contain microscopic ...cell problems at coarse-grid nodes to compute unknown ... See full document

... 20. Ernst OG, Gander MJ (2012) Why it is difficult to solve Helmholtz problems with classical iterative methods, in Numerical Analysis of Mutiscal problems. I Graham, T Hou, O Lakkis, R Scheichl (eds.). ... See full document

... Using the discrete Gronwall inequality, (), and the triangle inequality, we obtain (). Now, in order to complete the proof of Theorem ., we only need to prove the pos- terior hypothesis (). Use the inductive ... See full document