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Explicit Stabilized Integrators for Stiff Optimal Control Problems

Published in SIAM Journal on Scientific Computing. 2021, vol. 43, no. 2, p. A721-A743
Abstract Explicit stabilized methods are an efficient alternative to implicit schemes for the time integration of stiff systems of differential equations in large dimension. In this paper we derive explicit stabilized integrators of orders one and two for the optimal control of stiff systems. We analyze their favourable stability and symplecticity properties based on the continuous optimality conditions. Numerical experiments including the optimal control of a nonlinear diffusion-advection PDE illustrate the efficiency of the new approach.
Keywords Optimal controlRKCChebyshev methodsSymplectic methodsGeometric integrationStabilityAdjoint control systemsDouble adjointBurgers equationDiffusion-advection PDE
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Research group Analyse numérique
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ALMUSLIMANI, Ibrahim, VILMART, Gilles. Explicit Stabilized Integrators for Stiff Optimal Control Problems. In: SIAM Journal on Scientific Computing, 2021, vol. 43, n° 2, p. A721-A743. doi: 10.1137/19M1294216 https://archive-ouverte.unige.ch/unige:151151

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Deposited on : 2021-04-21

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