A mixed finite element method using a biorthogonal system for optimal control problems governed by a biharmonic equation


  • Bishnu Prasad Lamichhane University of Newcastle
  • Neela Nataraj IIT Mumbai, India
  • Deepanshu Verma Emory University, Atlanta, Georgia




In this article, we consider an optimal control problem governed by a biharmonic equation with clamped boundary conditions. We use the Ciarlet--Raviart formulation combined with a biorthogonal system to obtain an efficient numerical scheme. We discuss the a priori error analysis and present results of the numerical experiments that validate the theoretical estimates.

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