A two-level nonoverlapping Schwarz algorithm for the Stokes problem without primal pressure unknowns
From MaRDI portal
Publication:2894876
DOI10.1002/nme.3227zbMath1242.76126OpenAlexW2111722803MaRDI QIDQ2894876
Publication date: 2 July 2012
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.3227
Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items
Non-overlapping domain decomposition algorithms with only primal velocity unknowns for the discontinuous viscosity Stokes problem, Constraint Interface Preconditioning for the Incompressible Stokes Equations, Local and parallel stabilized finite element algorithms based on the lowest equal-order elements for the steady Navier-Stokes equations, A two-level nonoverlapping Schwarz algorithm for the Stokes problem: numerical study, A FETI-DP Type Domain Decomposition Algorithm for Three-Dimensional Incompressible Stokes Equations, Overlapping Schwarz Methods with a Standard Coarse Space for Almost Incompressible Linear Elasticity, Recent Advances in Domain Decomposition Methods for the Stokes Problem
Cites Work
- Unnamed Item
- Unnamed Item
- An algebraic theory for primal and dual substructuring methods by constraints
- On the selection of primal unknowns for a FETI-DP formulation of the Stokes problem in two dimensions
- On the use of inexact subdomain solvers for BDDC algorithms
- BDDC and FETI-DP without matrices or vectors
- The convergence of inexact Chebyshev and Richardson iterative methods for solving linear systems
- The Tchebychev iteration for nonsymmetric linear systems
- Overlapping Schwarz methods for mixed linear elasticity and Stokes problems
- A dual-primal FETI method for incompressible Stokes equations
- FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
- A comparison of overlapping Schwarz methods and block preconditioners for saddle point problems
- A FETI-DP Formulation for the Stokes Problem without Primal Pressure Components
- Robust BDDC Preconditioners for Reissner–Mindlin Plate Bending Problems and MITC Elements
- GMRES On (Nearly) Singular Systems
- An approximate BDDC preconditioner
- Dual-primal FETI methods for linear elasticity
- A Neumann--Dirichlet Preconditioner for a FETI-DP Formulation of the Two-Dimensional Stokes Problem with Mortar Methods
- FETI-DP, BDDC, and block Cholesky methods
- Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity
- An Overlapping Schwarz Algorithm for Almost Incompressible Elasticity
- Inexact FETI-DP methods
- A FETI-DP Formulation of Three Dimensional Elasticity Problems with Mortar Discretization
- An Analysis of a FETI–DP Algorithm on Irregular Subdomains in the Plane
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
- Balancing Neumann-Neumann methods for incompressible Stokes equations
- A FETI–DP Formulation for the Three-Dimensional Stokes Problem without Primal Pressure Unknowns
- BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions
- A BDDC Method for Mortar Discretizations Using a Transformation of Basis
- Convergence of a balancing domain decomposition by constraints and energy minimization
- BDDC Algorithms for Incompressible Stokes Equations
- A Preconditioner for the FETI-DP Formulation with Mortar Methods in Two Dimensions
