Two adjoint-based optimization approaches for a free surface Stokes flow
Repke S, Marheineke N, Pinnau R (2011)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2011
Journal
Publisher: Society for Industrial and Applied Mathematics
Book Volume: 71
Pages Range: 2168-2184
Journal Issue: 6
DOI: 10.1137/100797953
Abstract
This work deals with the optimal control of a fre e surface Stokes flow which responds to an applied outer pressure. Typical applications are fiber spinning or thin film manufacturing. We present and discuss two adjoint-based optimization approaches that differ in the treatment of the free boundary as either a state or control variable. In both cases the free boundary is modeled as the graph of a function. The PDE-constrained optimization problems are numerically solved by the Broyden-Fletcher-Goldfarb-Shanno (BFGS) method, where the gradient of the reduced cost function is expressed in terms of adjoint variables. Numerical results for both strategies are finally compared with respect to accuracy and efficiency. © 2011 Society for Industrial and Applied Mathematics.
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Germany (DE)How to cite
APA:
Repke, S., Marheineke, N., & Pinnau, R. (2011). Two adjoint-based optimization approaches for a free surface Stokes flow. SIAM Journal on Applied Mathematics, 71(6), 2168-2184. https://doi.org/10.1137/100797953
MLA:
Repke, Sabine, Nicole Marheineke, and René Pinnau. "Two adjoint-based optimization approaches for a free surface Stokes flow." SIAM Journal on Applied Mathematics 71.6 (2011): 2168-2184.
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