Error Estimate of Nonstandard Mixed Finite Element Methods for Semilinear Elliptic Optimal Control Problems
In addressing the semi-linear elliptic optimal control problem,a non-standard mixed finite element method is employed.Utilizing theories such as elliptic projection,standard pro-jection,and standard-orthogonal projection operators,error estimates for all variables in the problem model are provided.We employ the P20-P1 mixed finite element method for the nu-merical solution of the optimal control problem,which is used to approximate the state and dual state variables.For the control variable,we treat it as a constant function on each element.
optimal controlsemilinear elliptic equationerror estimationP20-P1 mixed finite element method
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