6 citations · 20 across the 11 of their papers we have counts for
11 papers
Schwarz Modulus Based Matrix Splittings with Minimal Polynomial Extrapolation Acceleration for linear complementarity problems arising from American option pricing
Martin J. Gande, Si-Wei Liao, Liu-Di Lu
Pricing American options is more complicated than pricing European options, because they can be exercised at any time, and one thus needs to solve a linear complementarity problem…
From PDEs constrained optimization to controllability problems via time domain decomposition
Pierre-Henri Cocquet, Liu-Di Lu
This paper focuses on the application of time domain decomposition to solve partial differential equations constrained optimization problems and controllability problems. After cla…
New time domain decomposition methods for parabolic optimal control problems II: Neumann-Neumann algorithms
Martin Jakob Gander, Liu-Di Lu
We present new Neumann-Neumann algorithms based on a time domain decomposition applied to unconstrained parabolic optimal control problems. After a spatial semi-discretization, the…
New time domain decomposition methods for parabolic control problems I: Dirichlet-Neumann and Neumann-Dirichlet algorithms
Martin Jakob Gander, Liu-Di Lu
We present new Dirichlet-Neumann and Neumann-Dirichlet algorithms with a time domain decomposition applied to unconstrained parabolic optimal control problems. After a spatial semi…
Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems
Martin Jakob Gander, Liu-Di Lu
We present the Dirichlet-Neumann (DN) and Neumann-Neumann (NN) methods applied to the optimal control problems arising from elliptic partial differential equations (PDEs) under the…
Optimal optical conditions for Microalgal production in photobioreactors
Olivier Bernard, Liu-Di Lu
The potential of industrial applications for microalgae has motivated their recent fast development. Their growth dynamics depends on different factors that must be optimized. Sinc…
Optimal periodic resource allocation in reactive dynamical systems: Application to microalgal production
Olivier Bernard, Liu-Di Lu, Julien Salomon
In this article, we focus on a periodic resource allocation problem applied to a dynamical system which comes from a biological system. More precisely, we consider a system with $N…
Mixing strategies combined with shape design to enhance productivity of a raceway pond
Olivier Bernard, Liu-Di Lu, Julien Salomon
This paper focuses on mixing strategies and designing shape of the bottom topographies to enhance the growth of the microalgae in raceway ponds. A physical-biological coupled model…
Topography optimization for enhancing microalgal growth in raceway ponds
Olivier Bernard, Liu-Di Lu, Jacques Sainte-Marie +1
Modelling the evolution process for the growth of microalgae in an artificial pond is a huge challenge, given the complex interaction between hydrodynamics and biological processes…
Controlling the bottom topography of a microalgal pond to optimize productivity
Olivier Bernard, Liudi Lu, Jacques Marie +1
We present a coupled model describing growth of microalgae in a raceway cultivation process, accounting for hydrodynamics. Our approach combines a biological model (based on the Ha…
Optimizing microalgal productivity in raceway ponds through a controlled mixing device
Olivier Bernard, Liudi Lu, Julien Salomon
This paper focuses on mixing strategies to enhance the growth of microalgae in a raceway pond. The flow is assumed to be laminar and the Han model describing the dynamics of the ph…