Sparse Aitken-Schwarz domain decomposition with application to Darcy flow
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Publication:2102031
DOI10.1016/j.compfluid.2022.105687OpenAlexW4297984357MaRDI QIDQ2102031
L. Berenguer, Damien Tromeur-Dervout
Publication date: 7 December 2022
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2022.105687
domain decompositionDarcy flowadditive SchwarzAitken's acceleration of the convergencehigh performances computing
Uses Software
Cites Work
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- Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections
- A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra
- A robust two-level domain decomposition preconditioner for systems of PDEs
- Schwarz methods over the course of time
- A robust coarse space for optimized Schwarz methods: SORAS-GenEO-2
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- Absorbing boundary conditions for domain decomposition
- Efficient metacomputing of elliptic linear and non-linear problems.
- Introduction to hierarchical matrices with applications.
- Parallel preconditioners for the unsteady Navier-Stokes equations and applications to hemodynamics simulations
- Mathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solves
- Nonconforming Schwarz-spectral element methods for incompressible flow
- Domain decomposition based exponential time differencing method for fluid dynamics problems with smooth solutions
- Analysis of the time-Schwarz DDM on the heat PDE
- Aitken's acceleration of the Schwarz process using singular value decomposition for heterogeneous 3D groundwater flow problems
- Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps
- Algebraic Domain Decomposition Methods for Highly Heterogeneous Problems
- A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps
- Sparse Approximations of the Schur Complement for Parallel Algebraic Hybrid Solvers in 3<em>D</em>
- The Aitken-Like Acceleration of the Schwarz Method on Nonuniform Cartesian Grids
- Approximating the trace of iterative solutions at the interfaces with Nonuniform Fourier transform and singular value decomposition for cost-effectively accelerating the convergence of Schwarz domain decomposition
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- An optimized order 2 (OO2) method for the Helmholtz equation
- On the Early History of the Singular Value Decomposition
- Krylov Subspace Solvers and Preconditioners
- Schwarz and Schur: An Algebraical Note on Equivalence Properties
- A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
- Optimized Schwarz Methods without Overlap for the Helmholtz Equation
- On some Aitken‐like acceleration of the Schwarz method
- Efficiency and scalability of a two‐level Schwarz algorithm for incompressible and compressible flows
- A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces
- Improving Multifrontal Methods by Means of Block Low-Rank Representations
- Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients
- Acceleration of the Schwarz Method for Elliptic Problems
- An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method
- An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions