Formulate linear and integer programming problems for solving commonly encountered optimization problems. Understand how approximation algorithms compute solutions that are guaranteed to be within ...

, Jin-Chao Xu, Nai-Ying Zhang, Superconvergence of the Gradient in Piecewise Linear Finite-Element Approximation to a Parabolic Problem, SIAM Journal on Numerical Analysis, Vol. 26, No. 3 (Jun., 1989) ...

In this paper, we discuss the mixed discontinuous Galerkin (DG) finite element approximation to linear parabolic optimal control problems. For the state variables and the co-state variables, the ...