Dynamic optimization and event location in atmospheric chemistry |
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| Authors: | Alexandre Caboussat Chantal Landry |
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| Institution: | 1. Department of Mathematics, University of Houston, 4800 Calhoun Rd, Houston, Texas 77204-3008, USA;2. Institute of Analysis and Scientific Computing, Ecole Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland |
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| Abstract: | A model coupling differential equations and an optimization problem with equality and inequality constraints is described. The first order optimality conditions are coupled with the differential equations to form a differential-algebraic system. Inequality constraints for the optimization variables induce discontinuities in the first derivatives of the solution in time. Tracking techniques based on sensitivity analysis and second order multistep methods are proposed to locate the discontinuities. Application to the dynamics of organic atmospheric aerosol particles is given to illustrate the detection of the activation of constraints. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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