domain decomposition

Weak scalability of time parallel Schwarz methods for parabolic optimal control problems
Parabolic optimal control problems arise in numerous scientific and engineering applications. They typically lead to large-scale …
Liu-Di Lu, Tommaso Vanzan
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Schwarz modulus based matrix splittings with minimal polynomial extrapolation acceleration for linear complementarity problems arising from American option pricing
Pricing American options is more complicated than pricing European options, because they can be exercised at any time, and one thus …
Martin Jakob Gander, Si-Wei Liao, Liu-Di Lu
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Optimized Schwarz methods for heterogeneous heat transfer problems
We present here nonoverlapping optimized Schwarz methods applied to heat transfer problems with heterogeneous diffusion coefficients. …
Martin Jakob Gander, Liu-Di Lu, Tingting Wu
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Optimized Schwarz methods for heterogeneous heat transfer problems
From PDEs constrained optimization to controllability problems via time domain decomposition
This paper focuses on the application of time domain decomposition to solve partial differential equations constrained optimization …
Pierre-Henri Cocquet, Liu-Di Lu
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From PDEs constrained optimization to controllability problems via time domain decomposition
Non-overlapping Schwarz methods in time for parabolic optimal control problems
We present here the classical Schwarz method with a time domain decomposition applied to unconstrained parabolic optimal control …
Martin Jakob Gander, Liu-Di Lu
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Non-overlapping Schwarz methods in time for parabolic optimal control problems
New time domain decomposition methods for parabolic optimal control problems II: Neumann-Neumann algorithms
We present new Neumann-Neumann algorithms based on a time domain decomposition applied to unconstrained parabolic optimal control …
Martin Jakob Gander, Liu-Di Lu
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New time domain decomposition methods for parabolic optimal control problems II: Neumann-Neumann algorithms
New time domain decomposition methods for parabolic optimal control problems I: Dirichlet-Neumann and Neumann-Dirichlet algorithms
We present new Dirichlet-Neumann and Neumann-Dirichlet algorithms with a time domain decomposition applied to unconstrained parabolic …
Martin Jakob Gander, Liu-Di Lu
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New time domain decomposition methods for parabolic optimal control problems I: Dirichlet-Neumann and Neumann-Dirichlet algorithms
Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems
We present the Dirichlet-Neumann (DN) and Neumann-Neumann (NN) methods applied to the optimal control problems arising from elliptic …
Martin Jakob Gander, Liu-Di Lu
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Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems