Specification of the Objective Function
The objective function can in general be a sum of a number of terms:
where n is the space dimension of the multiphysics model and the different contributions in the sum above are defined as follows:
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Qglobal is the global contribution to the objective function Q. It is given as one or more general global expressions.
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Qprobe is a probe contribution to the objective function Q. It is a probe objective, so its definition is restricted to a point on a given geometrical entity. The probe point used for the point evaluation is a point given by the user and has to be contained in the domain.
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Qint,k is an integral contribution to the objective function Q. It is an integral objective, so its definition is restricted to a specific set of geometrical entities of the same dimension. For integral contributions on points, the integration reduces to a summation.
Several global, probe, and integral contributions can be defined. In such cases, the total global, probe, and integral contribution is given as the sum of the aforementioned global, probe, and integral contributions that are actively selected in the solver settings for the optimization.