Integral Inequality Constraint (Point Sum Inequality Constraint)
Integral Inequality Constraints (Point Sum Inequality Constraints on points) specify bounds on the value of the integral of an expression Pint(ξ,u) taken over a selected set of geometric entities of the same dimension, Ω:
The expression is a closed-form expression of control and solution variables (the solution variables are given as the solution to the differential equations defined by the multiphysics model).
For integral inequality constraints on points, the integration reduces to a summation over the selected points:
Constraint
Enter a Constraint expression that is integrated over the domain in the integral inequality constraint.
Quadrature Settings
Specify the settings for the Quadrature used to numerically evaluate the integral in the integral objective: the integration order (default: 4) in the Integration order field and the frame to integrate on (default: the spatial frame), which is selected from the Integrate on frame list.
Bounds
By default, the Lower bound and Upper bound check boxes are selected to activate the required bounds. To specify equality constraints, simply make sure the upper and lower bounds have the same value.