Publications & Preprints

Liu-Di Lu, Tommaso Vanzan (2026). Weak scalability of time parallel Schwarz methods for parabolic optimal control problems. Submitted.

Martin Jakob Gander, Si-Wei Liao, Liu-Di Lu (2026). Schwarz modulus based matrix splittings with minimal polynomial extrapolation acceleration for linear complementarity problems arising from American option pricing. in print Domain Decomposition Methods in Science and Engineering XXIX.

Martin Jakob Gander, Liu-Di Lu, Tingting Wu (2026). Optimized Schwarz methods for heterogeneous heat transfer problems. in print SIAM Journal on Scientific Computing.

Pierre-Henri Cocquet, Liu-Di Lu (2025). From PDEs constrained optimization to controllability problems via time domain decomposition. in print Domain Decomposition Methods in Science and Engineering XXIX.

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).

Martin Jakob Gander, Liu-Di Lu (2025). Non-overlapping Schwarz methods in time for parabolic optimal control problems. in print Domain Decomposition Methods in Science and Engineering XXVIII.

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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 (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).

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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