An Inexact Uzawa-Type Iterative Method For Solving Saddle Point Problems

DOI10.1080/00207160304658zbMath1016.65011OpenAlexW1998344275MaRDI QIDQ4796494

Xiao-liang Cheng, Jun Zou

Publication date: 5 March 2003

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160304658

zbMATH Keywords

convergencemixed finite element methodssaddle point problemsLagrange multiplier methodsinexact Uzawa-type iterative algorithm

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (6)

On the convergence of iterative methods for stabilized saddle point problems ⋮ Fast corrected Uzawa methods for solving symmetric saddle point problems ⋮ Modified Alternating Positive Semidefinite Splitting Preconditioner for Time-Harmonic Eddy Current Models ⋮ Adaptive inexact iterative algorithms based on polynomial-degree-robust a posteriori estimates for the Stokes problem ⋮ A low-order block preconditioner for saddle point linear systems ⋮ On an inexact Uzawa-type algorithm for stabilized saddle point problems

Cites Work

• Unnamed Item
• On an iterative method for saddle point problems
• A class of iterative methods for solving saddle point problems
• The Convergence Factor of Preconditioned Algorithms of the Arrow–Hurwicz Type
• A Preconditioned Iterative Method for Saddlepoint Problems
• Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
• Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems

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