Force Inversion Examples

In a force inversion problem, we use inverse optimization to match the primary variable (e.g. displacement or temperature) by parameterizing gradients of the primary variables (e.g. force or heat flux). The theory behind force inversion is given in this section on the theory page. Force inversion is a linear optimization or linear programming problem where the parameters being controlled are not dependent on the solution, see Inverse Optimization, Eq. (23). Examples for the following force inversion problems are given on the below pages for steady state heat conduction:

• Theory

• Example 1: Point Loads

• Example 2: Neumann Boundary Condition

• Example 3: Distributed Body Load

• Debugging Help