Symmetric Part Preconditioning of the CG Method for Stokes Type Saddle-Point Systems
DOI10.1080/01630560701587775zbMath1140.65023OpenAlexW2004569293MaRDI QIDQ5452405
Publication date: 4 April 2008
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630560701587775
regularizationfinite elementconjugate gradient methodStokes problemsuperlinear convergencesaddle-point problemssymmetric partpeconditioningNavier's equations of elasticity
Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
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- Superlinearly convergent CG methods via equivalent preconditioning for nonsymmetric elliptic operators
- A generalized conjugate gradient, least square method
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Effective preconditioning of Uzawa type schemes for a generalized Stokes problem
- Scalable algorithms for the solution of Navier's equations of elasticity
- On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations
- Analysis of iterative methods for saddle point problems: a unified approach
- ON THE RATE OF CONVERGENCE OF THE CONJUGATE GRADIENT METHOD FOR LINEAR OPERATORS IN HILBERT SPACE
- Numerical solution of saddle point problems
- Eigenvalue estimates for preconditioned saddle point matrices
- Regularization procedures of mixed finite element approximations of the stokes problem
- Mixed and Hybrid Finite Element Methods
- A Lanczos Method for a Class of Nonsymmetric Systems of Linear Equations
- A Parallel Fast Direct Solver for Block Tridiagonal Systems with Separable Matrices of Arbitrary Dimension
- Iterative Solution Methods
- An Optimal Preconditioner for a Class of Saddle Point Problems with a Penalty Term
- Symmetric Part Preconditioning for the Conjugate Gradient Method in Hilbert Space
- Block-diagonal and indefinite symmetric preconditioners for mixed finite element formulations
- Preconditioning methods for linear systems arising in constrained optimization problems
- On the sublinear and superlinear rate of convergence of conjugate gradient methods
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