International Journal for Numerical Methods in Engineering · 2008 · 31 citations · 26 references
Numerical AnalysisFinite Element MethodError EstimatesParabolic EquationsEngineeringPde-constrained OptimizationAerospace EngineeringSemi-implicit MethodMathematical Control TheoryCopyright © 2008Parabolic EquationPiecewise Constant FunctionsBoundary Element MethodMixed MethodsJohn WileyNumerical Method For Partial Differential Equation
Abstract In this paper, we investigate the error estimates for the solutions of parabolic optimal control problem by mixed finite element methods. The state and co‐state are approximated by the lowest‐order Raviart–Thomas mixed finite element spaces, and the control is approximated by piecewise constant functions. The convergence for the states, co‐states and the control is demonstrated. Copyright © 2008 John Wiley & Sons, Ltd.
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