id: 06052993
dt: j
an: 06052993
au: Chrysafinos, Konstantinos; Karatzas, Efthimios N.
ti: Symmetric error estimates for discontinuous Galerkin approximations for an
    optimal control problem associated to semilinear parabolic PDE’s.
so: Discrete Contin. Dyn. Syst., Ser. B 17, No. 5, 1473-1506 (2012).
py: 2012
pu: American Institute of Mathematical Sciences, Springfield, MO
la: EN
cc: 
ut: symmetric error estimates; discontinuous Galerkin method; distributed
    control; semilinear parabolic PDE’s; finite element method; optimal
    control
ci: 
li: doi:10.3934/dcdsb.2012.17.1473
ab: The authors study a discontinuous Galerkin finite element method for an
    optimal control problem having states constrained to semilinear
    parabolic partial differential equations (PDE’s). It is shown that
    under suitable assumptions, the error estimates of the corresponding
    optimality system are of the same order to the standard linear
    (uncontrolled) parabolic problem. These estimates have symmetric
    structure and are also applicable for higher order elements.
rv: Costică Moroşanu (Iaşi)