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math.OC2018
An inverse problem formulation of the immersed boundary method
Jianfeng Yan, Jason Edward Hicken
We formulate the immersed-boundary method (IBM) as an inverse problem. A control variable is introduced on the boundary of a larger domain that encompasses the target domain. The o…
math.OC2017
Error-tolerant Multisecant Method for Nonlinearly Constrained Optimization
Jason E. Hicken, Pengfei Meng, Alp Dener
We present a derivative-based algorithm for nonlinearly constrained optimization problems that is tolerant of inaccuracies in the data. The algorithm solves a semi-smooth set of no…