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math.OC2016
Adjoint-based Gradient Estimation Using the Space-time Solutions of Unknown Conservation Law Simulations
Han Chen, Qiqi Wang
Many control applications can be formulated as optimization constrained by conservation laws. Such optimization can be efficiently solved by gradient-based methods, where the gradi…
math.OC2015
Simultaneous Single-Step One-Shot Optimization with Unsteady PDEs
Stefanie Günther, Nicolas R. Gauger, Qiqi Wang
The single-step one-shot method has proven to be very efficient for PDE-constrained optimization where the partial differential equation (PDE) is solved by an iterative fixed point…