On some Aitken‐like acceleration of the Schwarz method

DOI10.1002/fld.407zbMath1025.76043OpenAlexW2075504660MaRDI QIDQ4805157

Damien Tromeur-Dervout, Marc Garbey

Publication date: 11 May 2003

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.407

zbMATH Keywords

domain decompositiondistributed computingmetacomputingelliptic solver

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite difference methods applied to problems in fluid mechanics (76M20) Iterative numerical methods for linear systems (65F10) Basic methods in fluid mechanics (76M99)

Related Items

Fault Resilient Domain Decomposition Preconditioner for PDEs ⋮ 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 ⋮ An Aitken-like acceleration method applied to missing boundary data reconstruction for the Cauchy-Helmholtz problem ⋮ Unnamed Item ⋮ Parallel solution of mixed finite element/spectral element systems for convection-diffusion equations on non-matching grids ⋮ Time domain decomposition with time reversible integration for initial value problem ⋮ 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 ⋮ Optimized Schwarz method without overlap for the gravitational potential equation on cluster of graphics processing unit ⋮ Aitken's acceleration of the restricted additive Schwarz preconditioning using coarse approximations on the interface ⋮ Aitken-Schwarz Acceleration not based on the mesh for CFD ⋮ A multiplicative Schwarz method with active subdomains for transient convection–diffusion problems ⋮ On the Fourier representation of elastic immersed boundaries ⋮ Optimized Schwarz methods without overlap for highly heterogeneous media ⋮ Non-overlapping additive Schwarz methods tuned to highly heterogeneous media ⋮ Sparse Aitken-Schwarz domain decomposition with application to Darcy flow

Cites Work

• A Parallel Newton Multigrid Method for High Order Finite Elements and Its Application to Numerical Existence Proofs for Elliptic Boundary Value Equations
• A parallel solver for unsteady incompressible 3D Navier-Stokes equations
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