where n is the space dimension of the multiphysics model and the different contributions in the sum above are defined as follows:
• Qglobal is the global contribution to the objective function Q. It is given as one or more general global expressions.
• 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.
• 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.