Eigenvalue estimates for preconditioned saddle point matrices
From MaRDI portal
Publication:3618041
DOI10.1002/nla.469zbMath1224.65080OpenAlexW2119393586MaRDI QIDQ3618041
Owe Axelsson, Maya G. Neytcheva
Publication date: 31 March 2009
Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nla.469
numerical examplespreconditioningStokes problemeigenvalue estimatessaddle point matriceslinear elasticity problemSchur complement matrix
Classical linear elasticity (74B05) Navier-Stokes equations (35Q30) Inequalities involving eigenvalues and eigenvectors (15A42) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)
Related Items
A reverse augmented constraint preconditioner for Lagrange multiplier methods in contact mechanics ⋮ Spectral analysis, properties and nonsingular preconditioners for singular saddle point problems ⋮ Mixed constraint preconditioning in computational contact mechanics ⋮ Additive Inexact Block Triangular Preconditioners for Saddle Point Problems Arising in Meshfree Discretization of Piezoelectric Equations ⋮ Block symmetric-triangular preconditioners for generalized saddle point linear systems from piezoelectric equations ⋮ Spectral Analysis of Saddle-point Matrices from Optimization problems with Elliptic PDE Constraints ⋮ Preconditioned iterative methods for Navier-Stokes control problems ⋮ A general approach to analyse preconditioners for two-by-two block matrices ⋮ Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems ⋮ A method for verifying the accuracy of numerical solutions of symmetric saddle point linear systems ⋮ On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations ⋮ Unnamed Item ⋮ Unified analysis of preconditioning methods for saddle point matrices ⋮ Symbol based convergence analysis in block multigrid methods with applications for Stokes problems ⋮ Towards an optimal condition number of certain augmented Lagrangian-type saddle-point matrices ⋮ Space-time spectral method for the Stokes problem ⋮ Iterative solution methods for 3D controlled-source electromagnetic forward modelling of geophysical exploration scenarios ⋮ Parameterized approximate block LU preconditioners for generalized saddle point problems ⋮ On perturbation of operators and Rayleigh-Schrödinger coefficients ⋮ On element-by-element Schur complement approximations ⋮ On hybrid preconditioning methods for large sparse saddle-point problems ⋮ New lower bounds on the minimum singular value of a matrix ⋮ A Block Diagonal Preconditioner for Generalised Saddle Point Problems ⋮ Preconditioning for sparse linear systems at the dawn of the 21st century: history, current developments, and future perspectives ⋮ Preconditioning for Allen-Cahn variational inequalities with non-local constraints ⋮ Parameterized preconditioning for generalized saddle point problems arising from the Stokes equation ⋮ Evaluation of ST preconditioners for saddle point problems ⋮ Preconditioners for regularized saddle point problems with an application for heterogeneous Darcy flow problems ⋮ Refined saddle-point preconditioners for discretized Stokes problems ⋮ On eigenvalue distribution of constraint‐preconditioned symmetric saddle point matrices ⋮ Stabilized dimensional factorization preconditioner for solving incompressible Navier-Stokes equations ⋮ Symmetric Part Preconditioning of the CG Method for Stokes Type Saddle-Point Systems ⋮ Fast iterative solvers for large matrix systems arising from time-dependent Stokes control problems ⋮ Natural Preconditioning and Iterative Methods for Saddle Point Systems ⋮ Krylov improvements of the Uzawa method for Stokes type operator matrices ⋮ Preconditioners for regularized saddle point matrices ⋮ Preconditioning of matrices partitioned in 2 × 2 block form: eigenvalue estimates and Schwarz DD for mixed FEM ⋮ Preconditioning techniques for an image deblurring problem ⋮ On Fixed-Point, Krylov, and $2\times 2$ Block Preconditioners for Nonsymmetric Problems ⋮ Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models
Cites Work