Substructuring preconditioners for the three fields domain decomposition method

DOI10.1090/S0025-5718-03-01550-3zbMath1042.65099OpenAlexW1971913646MaRDI QIDQ4452155

Silvia Bertoluzza

Publication date: 12 February 2004

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01550-3

zbMATH Keywords

numerical examplesSchur complementdomain decompositionpreconditioningcondition numberpseudo-differential operatorSteklov-Poincaré operatorstabilized methodsthree fields formulation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary value problems for PDEs with pseudodifferential operators (35S15)

Related Items

Analysis of a mesh-dependent stabilization for the three fields domain decomposition method ⋮ Stabilization of the nonconforming virtual element method ⋮ Analysis of substructuring preconditioners for mortar methods in an abstract framework ⋮ Stability analysis for the virtual element method ⋮ BDDC and FETI-DP for the virtual element method ⋮ Substructuring preconditioners for an \(h\)-\(p\) domain decomposition method with interior penalty mortaring ⋮ Analysis of some injection bounds for Sobolev spaces by wavelet decomposition ⋮ Bi-CG: An effective solver for three fields domain decomposition method in parallel environments ⋮ Wavelet preconditioning for the three fields formulation: Numerical results in conforming decomposition ⋮ Virtual elements for a shear-deflection formulation of Reissner–Mindlin plates ⋮ The three-field formulation for elasticity problems ⋮ Mortar finite elements for a heat transfer problem on sliding meshes ⋮ Substructuring preconditioners forh−pMortar FEM ⋮ Suitable iterative methods for solving the linear system arising in the three fields domain decomposition method ⋮ A p-robust polygonal discontinuous Galerkin method with minus one stabilization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multilevel preconditioning
• Wavelet stabilization of the Lagrange multiplier method
• Analysis of a stabilized three-fields domain decomposition method
• Error estimates for the three-field formulation with bubble stabilization
• Mixed and Hybrid Finite Element Methods
• Iterative Substructuring Preconditioners for Mortar Element Methods in Two Dimensions
• Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products
• Wavelet stabilization and preconditioning for domain decomposition
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Domain Decomposition with Nonmatching Grids: Augmented Lagrangian Approach
• Computational scales of Sobolev norms with application to preconditioning