Acceleration of the Schwarz Method for Elliptic Problems

DOI10.1137/S1064827502416344zbMath1081.65116MaRDI QIDQ5318332

Marc Garbey

Publication date: 22 September 2005

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

finite volume methodconvergence accelerationdomain decompositionparallel computationelliptic problemsAitken accelerationSchwarz method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Nonlinear boundary value problems for linear elliptic equations (35J65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05)

Related Items (11)

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 ⋮ A resilient domain decomposition polynomial chaos solver for uncertain elliptic PDEs ⋮ An enhanced sequential fully implicit scheme for reservoir geomechanics ⋮ 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 ⋮ Iterative residual-based vector methods to accelerate fixed point iterations ⋮ A composite grid solver for conjugate heat transfer in fluid-structure systems ⋮ Sparse Aitken-Schwarz domain decomposition with application to Darcy flow

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