An Optimization-Based Model Coupling Method Using Slightly Overlapping Subdomains
In this research project, we explore the possibility of coupling two models together across a sharp interface via an optimal control methodology. We present solutions for coupled Poisson equations with varying material constants and forcing terms. For the test cases presented, a projection of the Neumann boundary condition at the interface onto the discrete interface boundaries was used as the control parameter. Through visual evidence along with preliminary numerical convergence studies, we have reason to believe that our proposed method will able to accurately solve interface coupling problems.