Analysis of iterative algorithms of Uzawa type for saddle point problems

DOI10.1016/j.apnum.2003.12.022zbMath1056.65026OpenAlexW2058767852MaRDI QIDQ596562

Ming Rong Cui

Publication date: 10 August 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2003.12.022

zbMATH Keywords

ConvergenceIterative methodsUzawa algorithmNumerical examplesPreconditionerSaddle point problems

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (19)

On the iterative algorithm for saddle point problems ⋮ A preconditioned GLHSS iteration method for non-Hermitian singular saddle point problems ⋮ Application of modified homotopy perturbation method for solving the augmented systems ⋮ Modified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current Models ⋮ A modified SOR-like method for the augmented systems ⋮ A generalization of the local Hermitian and skew-Hermitian splitting iteration methods for the non-Hermitian saddle point problems ⋮ Accelerating the Uzawa Algorithm ⋮ Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum ⋮ Spectral and variational principles of electromagnetic field excitation in wave guides ⋮ On the GTSOR-like Method for the Augmented systems ⋮ A generalization of the HSS-based sequential two-stage method for solving non-Hermitian saddle point problems ⋮ An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and its Application to DLM/FD Method for Elliptic Interface Problems ⋮ On local Hermitian and skew-Hermitian splitting iteration methods for generalized saddle point problems ⋮ Variational piecewise constant level set methods for shape optimization of a two-density drum ⋮ Shape and topology optimization for elliptic boundary value problems using a piecewise constant level set method ⋮ A low-order block preconditioner for saddle point linear systems ⋮ ANALYSIS OF THE INEXACT UZAWA ALGORITHMS FOR NONLINEAR SADDLE-POINT PROBLEMS ⋮ A general Uzawa-type method for a class of \(2\times 2\) block structure linear system ⋮ Partitioned versus global Krylov subspace iterative methods for FE solution of 3-D Biot's problem

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