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Published in:
2012 | OriginalPaper | Chapter
Optimization-Based Modeling with Applications to Transport: Part 2. The Optimization Algorithm
Authors : Joseph Young, Denis Ridzal, Pavel Bochev
Published in: Large-Scale Scientific Computing
Publisher: Springer Berlin Heidelberg
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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.