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An adjoint optimization method, based on the solution of an inverse flow problem, is proposed.

Let û be the numerical solution of an obstacle problem.

The formula is obtained from the analytic solution of an elastic composite cylinder under axial compression.

The expression of the dynamic parameters is defined from the solution of an Algebraic Ricatti Equation.

The applicability of the proposed model is shown via the solution of an illustrative example.

The method is based on the formulation and solution of an augmented Riccati equation.

This method leads to the solution of an overdetermined linear system of equations.

Optimal solvents are then identified from the solution of an optimization-based molecular design problem.

The shape in consideration is a solution of an inverse conductivity problem.

The image reconstruction is based on the numerical solution of an inverse scattering EM problem.

Iterative algorithms are usually applied to find a solution of an MMVI problem.

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