Publications & Preprints

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

Joel Ignacio Fierro Ulloa, Liu-Di Lu, Olivier Bernard (2025). Should hydrodynamics be accounted for to compute the growth rate of microalgae in a photobioreactor ?. To appear in SIAM Journal on Applied Mathematics (2025).

Olivier Bernard, Liu-Di Lu, Jacques Sainte-Marie, Julien Salomon (2025). Topography optimization for enhancing Microalgal growth in raceway ponds. To appear in SIAM Journal on Control and Optimization (2025).

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.

PDF Cite Slides arXiv

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).

PDF Cite Slides DOI

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.

PDF Cite Slides HAL

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).

PDF Cite Slides DOI

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).

PDF Cite Slides DOI

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).

PDF Cite Slides DOI