Analysis of substructuring preconditioners for mortar methods in an abstract framework

DOI10.1016/j.aml.2006.02.029zbMath1112.65041OpenAlexW2036928016MaRDI QIDQ867999

Micol Pennacchio, Silvia Bertoluzza

Publication date: 19 February 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.02.029

zbMATH Keywords

linear systemsfinite elementsdomain decompositionpreconditioningiterative substructuringmortar methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

A Parallel Implementation of the Mortar Element Method in 2D and 3D, Substructuring preconditioners for mortar discretization of a degenerate evolution problem, Substructuring preconditioners for an \(h\)-\(p\) domain decomposition method with interior penalty mortaring

Cites Work

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• Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions
• Substructuring preconditioners for the three fields domain decomposition method
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Discretization methods and iterative solvers based on domain decomposition