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07/18/2023
Cross-points in the Dirichlet-Neumann method II: a geometrically convergent variant
When considered as a standalone iterative solver for elliptic boundary v...
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04/25/2023
A new ParaDiag time-parallel time integration method
Time-parallel time integration has received a lot of attention in the hi...
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02/27/2023
An optimized Space-Time Multigrid algorithm for parabolic PDEs
We investigate three directions to further improve the highly efficient ...
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02/27/2023
Cross-points in the Neumann-Neumann method
In this work, we focus on the Neumann-Neumann method (NNM), which is one...
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07/20/2022
Schwarz methods by domain truncation
Schwarz methods use a decomposition of the computational domain into sub...
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04/20/2022
Closed form optimized transmission conditions for complex diffusion with many subdomains
Optimized transmission conditions in domain decomposition methods have b...
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03/16/2022
Low-rank Parareal: a low-rank parallel-in-time integrator
The Parareal algorithm of Lions, Maday, and Turinici is a well-known tim...
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06/09/2021
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation
We analyse parallel overlapping Schwarz domain decomposition methods for...
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03/31/2021
Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning
Substructured domain decomposition (DD) methods have been extensively st...
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03/22/2021
On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method
The Dirichlet-Neumann (DN) method has been extensively studied for linea...
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03/21/2021
A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem
In this paper we revisit the Restricted Additive Schwarz method for solv...
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03/19/2021
Localized Reduced Basis Additive Schwarz Methods
Reduced basis methods build low-rank approximation spaces for the soluti...
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03/17/2021
A numerical algorithm based on probing to find optimized transmission conditions
Optimized Schwarz Methods (OSMs) are based on optimized transmission con...
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03/14/2021
Optimizing transmission conditions for multiple subdomains in the Magnetotelluric Approximation of Maxwell's equations
Classically transmission conditions between subdomains are optimized for...
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05/19/2020
ParaDIAG: Parallel-in-Time Algorithms Based on the Diagonalization Technique
In 2008, Maday and Rønquist introduced an interesting new approach for t...
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01/14/2020
Asymptotic Analysis for Overlap in Waveform Relaxation Methods for RC Type Circuits
Waveform relaxation (WR) methods are based on partitioning large circuit...
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03/14/2018