Positive definite balancing Neumann-Neumann preconditioners for nearly incompressible elasticity

DOI10.1007/s00211-006-0022-5zbMath1137.65342OpenAlexW2022747274MaRDI QIDQ850442

Carlo Lovadina, Lourenco Beirão da Veiga, Luca F. Pavarino

Publication date: 3 November 2006

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-006-0022-5

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Classical linear elasticity (74B05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Parallel iterative substructuring in structural mechanics, Enhanced balancing Neumann-Neumann preconditioning in computational fluid and solid mechanics, Balancing Neumann-Neumann methods for the cardiac bidomain model, A locking-free locally conservative hybridized scheme for elasticity problems, BDDC and FETI-DP Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity, A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients, Isogeometric block FETI-DP preconditioners for the Stokes and mixed linear elasticity systems, BDDC and FETI-DP preconditioners for spectral element discretizations, A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media, Overlapping Schwarz Methods with a Standard Coarse Space for Almost Incompressible Linear Elasticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iterative solvers for coupled fluid-solid scattering
• A domain decomposition technique for Stokes problems
• Domain decomposition preconditioners for \(p\) and \(hp\) finite element approximation of Stokes equations
• An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
• Non-overlapping domain decomposition methods for adaptive \(hp\) approximations of the Stokes problem with discontinuous pressure fields
• Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity
• Neumann-Neumann methods for vector field problems
• A domain decomposition preconditioner for an advection-diffusion problem
• Overlapping Schwarz methods for mixed linear elasticity and Stokes problems
• Spectral element methods for large scale parallel Navier-Stokes calculations
• Mixed \(hp\) finite element methods for problems in elasticity and Stokes flow
• FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
• FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
• Balancing domain decomposition
• Dual-primal FETI methods for linear elasticity
• FETI-DP, BDDC, and block Cholesky methods
• Mixed and Hybrid Finite Element Methods
• UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM
• Neumann-Neumann algorithms for spectral elements in three dimensions
• A Neumann--Neumann Domain Decomposition Algorithm for Solving Plate and Shell Problems
• A Preconditioner for Substructuring Based on Constrained Energy Minimization
• Méthode de Schwarz additive avec solveur grossier pour problèmes non symétriques
• Balancing domain decomposition for problems with large jumps in coefficients
• Balancing Neumann-Neumann methods for incompressible Stokes equations
• Schwarz methods of neumann‐neumann type for three‐dimensional elliptic finite element problems
• Balancing Domain Decomposition for Mixed Finite Elements
• Iterative Substructuring Methods for Spectral Element Discretizations of Elliptic Systems. II: Mixed Methods for Linear Elasticity and Stokes Flow
• Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations
• Convergence of a balancing domain decomposition by constraints and energy minimization
• BDDC Algorithms for Incompressible Stokes Equations