Two-scale Dirichlet-Neumann preconditioners for elastic problems with boundary refinements

DOI10.1016/j.cma.2006.03.021zbMath1173.74423OpenAlexW2006202323MaRDI QIDQ1033458

Patrice Hauret, Le Tallec, Patrick

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.cma.2006.03.021

zbMATH Keywords

domain decompositioncoarse gridmortar methodsDirichlet-Neumann preconditioner

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element methods applied to problems in solid mechanics (74S05) Equations linearized about a deformed state (small deformations superposed on large) (74B15)

Related Items (2)

Two-scale space-time methods for computational solid mechanics ⋮ Solving dynamic contact problems with local refinement in space and time

Cites Work

• Substructuring preconditioners for the \(Q_ 1\) mortar element method
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• Error estimates for the three-field formulation with bubble stabilization
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• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
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• Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions
• On a Parallel Implementation of the Mortar Element Method
• Hierarchical A Posteriori Error Estimators for Mortar Finite Element Methods with Lagrange Multipliers
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• A Stabilized Domain Decomposition Method with Nonmatching Grids for the Stokes Problem in Three Dimensions
• Korn's inequalities for piecewise $H^1$ vector fields
• Une méthode d'éléments finis hybrides en décomposition de domaines
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