  Models of physical phenomena that use nonlocal operators are better suited
for some applications than their classical counterparts that employ partial
differential operators. However, the numerical solution of these nonlocal
problems can be quite expensive. Therefore, Local-to-Nonlocal couplings have
emerged that combine partial differential operators with nonlocal operators. In
this work, we make use of an energy-based Local-to-Nonlocal coupling that
serves as a constraint for an interface identification problem.
