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Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method

Numerical Analysis for the Pure Neumann Control Problem Using the Gradient Discretisation Method

The article discusses the gradient discretisation method (GDM) for distributed optimal control problems governed by diffusion equation with pure Neumann boundary condition. Using the GDM framework enables to develop an analysis that directly applies to a wide range of numerical schemes, from conforming and non-conforming finite elements, to mixed finite …