ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991): 49J20, 49K20, 65K10, 65N15, 65N30
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. An optimal control problem for impressed cathodic systems in electrochemistry is studied. The control in this problem is the current density on the anode. A matching objective functional is considered. We first demonstrate the existence and uniqueness of solutions for the governing partial differential equation with a nonlinear boundary condition. We then prove the existence of an optimal solution. Next, we derive a necessary condition of optimality and establish an optimality system of equations. Finally, we define a finite element algorithm and derive optimal error estimates.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050146
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