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Yang, F; Venkataraman, C; Styles, V; Madzvamuse, A (2015)
Languages: English
Types: Unknown
Subjects: QA297
We present a problem concerning the optimal control of geometric evolution laws. This is a minimisation problem that aims to find a control η which minimises the objective functional J subject to some imposed constraints. We apply this methodology to an application of whole cell tracking. Given two sets of data of cell morphologies, we may solve the optimal control problem to dynamically reconstruct the cell movements between the time frame of these two sets of data. This problem is solved in two and three space dimensions, using a state-of-the-art numerical method, namely multigrid, with adaptivity and parallelism.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] L.S. Pontryagin, V.G. Boltyanski, R.S. Gamkrelidze and E.F. Mishchenko. The mathematical theory of optimal processes. Interscience, 1962.
    • [2] K.N. Blazakis, A. Madzvamuse, C.R. Aldasoro, V. Styles, and C. Venkataraman. Whole cell tracking through the optimal control of geometric evolution laws. Journal of Computational Physics. Submitted, 2014.
    • [3] F. Haußer, S. Rasche and A. Voigt. The influence of electric fields on nanostructures-simulation and control. Mathematics and Computers in Simulation, 80(7), 1449-1457, 2010.
    • [4] J. Blowey and C. Elliott. Curvature dependent phase boundary motion and parabolic double obstacle problems. In Degenerate Diffusions, pages 19-60. Springer. 51, 52, 55. 1993
    • [5] K. Olson and P. MacNeice. An Overview of the PARAMESH AMR Software and Some of Its Applications, Adaptive Mesh Refinement-Theory and Applications. Lecture Notes in Computational Science and Engineering, 41, eds. T. Plewa, T. Linde, G. Weirs (Springer), 2005.
    • [6] P. Bollada, C. Goodyer, P. Jimack, A. Mullis and F. Yang. Thermalsolute Phase Field Three Dimensional Simulation of Binary Alloy Solidification. Journal of Computational Physics. Submitted, 2014.
    • [7] A. Brandt. Multi-Level adaptive solution to boundary-value problems. Mathematics of Computation, 31, 333-390, 1977.
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