FETI domain decomposition methods for scalar advection-diffusion problems

DOI10.1016/S0045-7825(01)00195-5zbMath1017.76048MaRDI QIDQ5946841

Andrea Toselli

Publication date: 28 August 2003

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

finite element approximationFETI domain decomposition methodsone-level algorithmscalar advection-diffusion problemstwo-level algorithms

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items

An efficient hierarchical preconditioner for quadratic discretizations of finite element problems ⋮ Fully implicit local time-stepping methods for advection-diffusion problems in mixed formulations ⋮ A matrix‐free macro‐element variant of the hybridized discontinuous Galerkin method ⋮ Robust BDDC algorithms for finite volume element methods ⋮ An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection-diffusion problems. ⋮ A numerical study on Neumann-Neumann and FETI methods for \(hp\) approximations on geometrically refined boundary layer meshes in two dimensions. ⋮ BDDC preconditioning for high-order Galerkin least-squares methods using inexact solvers ⋮ BDDC algorithms for advection-diffusion problems with HDG discretizations ⋮ Convergence analysis of a balancing domain decomposition method for solving a class of indefinite linear systems ⋮ An adaptive BDDC preconditioner for advection-diffusion problems with a stabilized finite element discretization ⋮ A fast implementation of the FETI-DP method: FETI-DP-RBS-LNA and applications on large scale problems with localized non-linearities ⋮ Fast iterative solver for convection-diffusion systems with spectral elements ⋮ A numerical study on Neumann-Neumann methods forhpapproximations on geometrically refined boundary layer meshes II. Three-dimensional problems

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