Abstract
This paper investigates L∞-estimates for the general optimal control problems governed by two-dimensional nonlinear elliptic equations with pointwise control constraints using mixed finite element methods. The state and the co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. The authors derive L∞-estimates for the mixed finite element approximation of nonlinear optimal control problems. Finally, the numerical examples are given.
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