Abstract
We present a finite difference multigrid technique that efficiently solves the optimal control problem associated to the solid fuel ignition model.
This nonlinear multigrid method solves the nonlinear optimality system of partial differential equations to the level of truncation error in only a few cycles. The contraction factors of the multigrid method result to be independent of the values of the weights in the cost functional and of the number of grid points. Second-order accurate solutions are obtained.
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© 2000 Springer-Verlag Berlin Heidelberg
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Borzì, A., Kunisch, K., Vanmaele, M. (2000). A Multigrid Approach to the Optimal Control of Solid Fuel Ignition Problems. In: Dick, E., Riemslagh, K., Vierendeels, J. (eds) Multigrid Methods VI. Lecture Notes in Computational Science and Engineering, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58312-4_7
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DOI: https://doi.org/10.1007/978-3-642-58312-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67157-2
Online ISBN: 978-3-642-58312-4
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