Publications & Preprints

Joel Ignacio Fierro Ulloa, Liu-Di Lu, Olivier Bernard (2025). Should hydrodynamics be taken into account when calculating the growth rate of microalgae in a photobioreactor ?. SIAM Journal on Applied Mathematics (2025), 85(4):1906–1925 (2025).

Olivier Bernard, Liu-Di Lu, Jacques Sainte-Marie, Julien Salomon (2025). Topography optimization for enhancing Microalgal growth in raceway ponds. SIAM Journal on Control and Optimization, 63(5):2451–2471 (2025).

Martin Jakob Gander, Liu-Di Lu, Tingting Wu (2025). Optimized Schwarz methods for heterogeneous heat transfer problems. Submitted.

Martin Jakob Gander, Liu-Di Lu (2024). New time domain decomposition methods for parabolic optimal control problems II: Neumann-Neumann algorithms. SIAM Journal on Numerical Analysis, 62(6):2588–2610 (2024).

Nan Pan, Liu-Di Lu, Olivier Bernard (2024). Representing inhibition in growth kinetics: the Haldane KIS. Submitted.

Martin Jakob Gander, Liu-Di Lu (2024). Non-overlapping Schwarz methods in time for parabolic optimal control problems. Submitted.

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Martin Jakob Gander, Liu-Di Lu (2024). New time domain decomposition methods for parabolic optimal control problems I: Dirichlet-Neumann and Neumann-Dirichlet algorithms. SIAM Journal on Numerical Analysis, 62(4):2048–2070 (2024).

Martin Jakob Gander, Liu-Di Lu (2024). Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems. In Domain Decomposition Methods in Science and Engineering XXVII. DD 2022. Lecture Notes in Computational Science and Engineering, vol 149. Springer, Cham. 207–214 (2024).

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Joel Ignacio Fierro Ulloa, Liu-Di Lu, Olivier Bernard (2023). Theoretical growth rate under high/low-flashing light. Journal of Mathematical Biology, 86(48):1–32 (2023).

Olivier Bernard, Liu-Di Lu, Julien Salomon (2023). Optimal periodic resource allocation in reactive dynamical systems: application to Microalgal production. International Journal of Robust and Nonlinear Control, 33(9):4989–5010 (2023).

Olivier Bernard, Liu-Di Lu (2022). Optimal optical conditions for Microalgal production in photobioreactors. Journal of Process Control, 112:69–77 (2022).

Liu-Di Lu (2021). Lagrangian Approaches for Modelling and Optimization of Hydrodynamic-Photosynthesis Coupling. PhD Thesis.

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Olivier Bernard, Liu-Di Lu, Julien Salomon (2021). Mixing Strategies Combined with Shape Design to Enhance Productivity of a Raceway Pond. In 16th IFAC Symposium on Advanced Control of Chemical Processes ADCHEM 2021, 54(3):281–286 (2021).

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Olivier Bernard, Liu-Di Lu, Julien Salomon (2021). Optimizing microalgal productivity in raceway ponds through a controlled mixing device. In 2021 American Control Conference, 640–645 (2021).

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Olivier Bernard, Liu-Di Lu, Jacques Sainte-Marie, Julien Salomon (2021). Controlling the bottom topography of a microalgal pond to optimize productivity. In 2021 American Control Conference, 634–639 (2021).

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