Optimization-Based Modeling with Applications to Transport: Part 2. The Optimization Algorithm

This paper is the second of three related articles that develop and demonstrate a new optimization-based framework for computational modeling. The framework uses optimization and control ideas to assemble and decompose multiphysics operators and to preserve their fundamental physical properties in the discretization process. One application of the framework is in the formulation of robust algorithms for optimization-based transport (OBT). Based on the theoretical foundations established in Part 1, this paper focuses on the development of an efficient optimization algorithm for the solution of the remap subproblem that is at the heart of OBT.