Journal of Computational Physics, ISSN 0021-9991, 12/2016, Volume 327, p. 700

Modeling Fluid–Structure Interaction (FSI) in the vascular system is mandatory to reliably compute mechanical indicators in vessels undergoing large...

Deformation | Fluid dynamics | Saddle points | Blood vessels | Navier Stokes equations | Fluid-structure interaction | Condensation | Blood flow | Studies | Finite element method | Jacobian matrix | Dependence | Jacobi matrix method | Finite element analysis | Hemodynamics | Domain decomposition | Linearization

Deformation | Fluid dynamics | Saddle points | Blood vessels | Navier Stokes equations | Fluid-structure interaction | Condensation | Blood flow | Studies | Finite element method | Jacobian matrix | Dependence | Jacobi matrix method | Finite element analysis | Hemodynamics | Domain decomposition | Linearization

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 02/2019, Volume 344, Issue C, pp. 376 - 401

The efficient simulation of fault and fracture mechanics is a key issue in several applications and is attracting a growing interest by the scientific...

Fault mechanics | Preconditioners | Iterative methods | Lagrange multipliers | Saddle point problems | FAULT-SLIP | SPARSITY PATTERNS | INVERSE | FLOW | DYNAMIC-ANALYSIS | PRESSURE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | UNDERGROUND GAS-STORAGE | INDUCED EARTHQUAKES | DATA ASSIMILATION | FINITE-ELEMENT-METHOD | Finite element method | Jacobian matrix | Fracture mechanics | Saddle points | Ill-conditioned problems (mathematics) | Jacobi matrix method | Conditioning | Preconditioning | MATHEMATICS AND COMPUTING | ENGINEERING

Fault mechanics | Preconditioners | Iterative methods | Lagrange multipliers | Saddle point problems | FAULT-SLIP | SPARSITY PATTERNS | INVERSE | FLOW | DYNAMIC-ANALYSIS | PRESSURE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | UNDERGROUND GAS-STORAGE | INDUCED EARTHQUAKES | DATA ASSIMILATION | FINITE-ELEMENT-METHOD | Finite element method | Jacobian matrix | Fracture mechanics | Saddle points | Ill-conditioned problems (mathematics) | Jacobi matrix method | Conditioning | Preconditioning | MATHEMATICS AND COMPUTING | ENGINEERING

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 04/2015, Volume 256, pp. 94 - 108

In this paper, we propose two new iterative methods for solving the nonsingular saddle point problem based on partitioning the coefficient matrix. One is...

Uzawa method | Saddle point problem | Numerical experiments | Block Gauss–Seidel method | Block Jacobi method | Convergence | Block Gauss-Seidel method | DEFINITE LINEAR-SYSTEMS | MATHEMATICS, APPLIED | APPROXIMATIONS | ALGORITHMS | INEXACT | HERMITIAN SPLITTING METHODS | NUMERICAL-SOLUTION | PRECONDITIONERS | NAVIER-STOKES EQUATIONS | INDEFINITE SYSTEMS

Uzawa method | Saddle point problem | Numerical experiments | Block Gauss–Seidel method | Block Jacobi method | Convergence | Block Gauss-Seidel method | DEFINITE LINEAR-SYSTEMS | MATHEMATICS, APPLIED | APPROXIMATIONS | ALGORITHMS | INEXACT | HERMITIAN SPLITTING METHODS | NUMERICAL-SOLUTION | PRECONDITIONERS | NAVIER-STOKES EQUATIONS | INDEFINITE SYSTEMS

Journal Article

Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 04/2006, Volume 75, Issue 254, pp. 791 - 815

For the large sparse block two-by-two real nonsingular matrices, we establish a general framework of practical and efficient structured preconditioners through...

Linear systems | Approximation | Definiteness | Saddle points | Eigenvalues | Matrices | Geometric centers | Mathematics | Linear equations | Preconditioning | Block two-by-two matrix | Preconditioner | Modified block relaxation iteration | Eigenvalue distribution | Positive definiteness | MATHEMATICS, APPLIED | FACTORIZATION | AUGMENTED SYSTEMS | eigenvalue distribution | SADDLE-POINT PROBLEMS | QUADRATIC-PROGRAMMING PROBLEMS | INDEFINITE LINEAR-SYSTEMS | INEXACT | CONJUGATE-GRADIENT METHODS | SSOR PRECONDITIONERS | modified block relaxation iteration | positive definiteness | NAVIER-STOKES EQUATIONS | ITERATIVE METHODS | preconditioner | block two-by-two matrix

Linear systems | Approximation | Definiteness | Saddle points | Eigenvalues | Matrices | Geometric centers | Mathematics | Linear equations | Preconditioning | Block two-by-two matrix | Preconditioner | Modified block relaxation iteration | Eigenvalue distribution | Positive definiteness | MATHEMATICS, APPLIED | FACTORIZATION | AUGMENTED SYSTEMS | eigenvalue distribution | SADDLE-POINT PROBLEMS | QUADRATIC-PROGRAMMING PROBLEMS | INDEFINITE LINEAR-SYSTEMS | INEXACT | CONJUGATE-GRADIENT METHODS | SSOR PRECONDITIONERS | modified block relaxation iteration | positive definiteness | NAVIER-STOKES EQUATIONS | ITERATIVE METHODS | preconditioner | block two-by-two matrix

Journal Article

Concurrency and Computation: Practice and Experience, ISSN 1532-0626, 03/2019, Volume 31, Issue 6, p. n/a

Summary We propose an adaptive scheme to reduce communication overhead caused by data movement by selectively storing the diagonal blocks of a block‐Jacobi...

adaptive precision | Krylov subspace methods | sparse linear systems | block‐Jacobi preconditioning | communication reduction | energy efficiency | Energy efficiency | Block-Jacobi preconditioning | Communication reduction | Adaptive precision | Sparse linear systems | COMPUTER SCIENCE, SOFTWARE ENGINEERING | STABILITY | COMPUTER SCIENCE, THEORY & METHODS | block-Jacobi preconditioning | Linear systems | Conjugate gradient method | Energy consumption | Conjugates | Adaptive systems | Subspace methods | Cost control | Data transfer (computers) | Communications systems | Algorithms | Solvers | Floating point arithmetic | Iterative methods | Preconditioning

adaptive precision | Krylov subspace methods | sparse linear systems | block‐Jacobi preconditioning | communication reduction | energy efficiency | Energy efficiency | Block-Jacobi preconditioning | Communication reduction | Adaptive precision | Sparse linear systems | COMPUTER SCIENCE, SOFTWARE ENGINEERING | STABILITY | COMPUTER SCIENCE, THEORY & METHODS | block-Jacobi preconditioning | Linear systems | Conjugate gradient method | Energy consumption | Conjugates | Adaptive systems | Subspace methods | Cost control | Data transfer (computers) | Communications systems | Algorithms | Solvers | Floating point arithmetic | Iterative methods | Preconditioning

Journal Article

Applied Mathematics and Computation, ISSN 0096-3003, 09/2014, Volume 243, pp. 825 - 837

Recently, Bai proposed rotated block preconditioners for block two-by-two matrices of real square blocks. These rotated block preconditioners have the product...

Block two-by-two matrix | Orthogonal matrix | Spectral property | Splitting iteration method | Splitting-based preconditioner | MATHEMATICS, APPLIED | AUGMENTED SYSTEMS | SADDLE-POINT PROBLEMS | INDEFINITE LINEAR-SYSTEMS | INEXACT | NUMERICAL-SOLUTION | NONSYMMETRIC MATRICES | TRIANGULAR PRECONDITIONERS | Linear systems | Splitting | Matrices (mathematics) | Mathematical analysis | Blocking | Mathematical models | Iterative methods | Matrix methods

Block two-by-two matrix | Orthogonal matrix | Spectral property | Splitting iteration method | Splitting-based preconditioner | MATHEMATICS, APPLIED | AUGMENTED SYSTEMS | SADDLE-POINT PROBLEMS | INDEFINITE LINEAR-SYSTEMS | INEXACT | NUMERICAL-SOLUTION | NONSYMMETRIC MATRICES | TRIANGULAR PRECONDITIONERS | Linear systems | Splitting | Matrices (mathematics) | Mathematical analysis | Blocking | Mathematical models | Iterative methods | Matrix methods

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 05/2007, Volume 196, Issue 25-28, pp. 2737 - 2750

Finite element analysis of 3-D Biot's consolidation problem needs fast solution of discretized large 2 × 2 block symmetric indefinite linear systems. In this...

Symmetric indefinite linear system | Generalized Jacobi preconditioner | Modified SSOR preconditioner | Biot's consolidation equations | Symmetric quasi-minimal residual method | AUGMENTED SYSTEMS | SADDLE-POINT PROBLEMS | APPROXIMATE-INVERSE PRECONDITIONERS | EQUATIONS | symmetric indefinite linear system | 3-DIMENSIONAL CONSOLIDATION | ALGORITHMS | INDEFINITE LINEAR-SYSTEMS | modified SSOR preconditioner | generalized Jacobi preconditioner | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | symmetric quasi-minimal residual method | PARALLEL | Finite element method | Methods

Symmetric indefinite linear system | Generalized Jacobi preconditioner | Modified SSOR preconditioner | Biot's consolidation equations | Symmetric quasi-minimal residual method | AUGMENTED SYSTEMS | SADDLE-POINT PROBLEMS | APPROXIMATE-INVERSE PRECONDITIONERS | EQUATIONS | symmetric indefinite linear system | 3-DIMENSIONAL CONSOLIDATION | ALGORITHMS | INDEFINITE LINEAR-SYSTEMS | modified SSOR preconditioner | generalized Jacobi preconditioner | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | symmetric quasi-minimal residual method | PARALLEL | Finite element method | Methods

Journal Article

Numerical Linear Algebra with Applications, ISSN 1070-5325, 12/2010, Volume 17, Issue 6, pp. 977 - 996

In this paper we investigate the possibility of using a block‐triangular preconditioner for saddle point problems arising in PDE‐constrained optimization. In...

linear systems | PDE‐constrained optimization | Krylov subspaces | saddle point problems | preconditioning | Linear systems | Preconditioning | PDE-constrained optimization | Saddle point problems | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | EQUATIONS | STABILIZED STOKES SYSTEMS | SOLVERS | MATHEMATICS | NUMERICAL-SOLUTION | MATRICES | FAST ITERATIVE SOLUTION | INDEFINITE SYSTEMS | Conjugates | Partial differential equations | Mathematical analysis | Saddle points | Eigenvalues | Blocking | Mathematical models | Optimization | Convergence

linear systems | PDE‐constrained optimization | Krylov subspaces | saddle point problems | preconditioning | Linear systems | Preconditioning | PDE-constrained optimization | Saddle point problems | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | EQUATIONS | STABILIZED STOKES SYSTEMS | SOLVERS | MATHEMATICS | NUMERICAL-SOLUTION | MATRICES | FAST ITERATIVE SOLUTION | INDEFINITE SYSTEMS | Conjugates | Partial differential equations | Mathematical analysis | Saddle points | Eigenvalues | Blocking | Mathematical models | Optimization | Convergence

Journal Article

Numerical Algorithms, ISSN 1017-1398, 12/2016, Volume 73, Issue 4, pp. 1037 - 1054

In this paper we study efficient iterative methods for solving the system of linear equations arising from the fully implicit Runge-Kutta discretizations of a...

65L06 | Numeric Computing | Theory of Computation | Implicit Runge-Kutta methods | Differential-algebraic equation | Bidomain equations | Algorithms | Algebra | 65F10 | Numerical Analysis | Computer Science | Iterative methods | Preconditioning | 65N22 | BLOCK-TRIANGULAR PRECONDITIONER | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | MODEL | BOUNDARY-VALUE METHODS | RUSH-LARSEN METHOD | SCHWARZ | ELECTROCARDIOLOGY | Differential equations | Linear systems | Splitting | Discretization | Mathematical analysis | Strategy | Runge-Kutta method | Spectra | Time integration

65L06 | Numeric Computing | Theory of Computation | Implicit Runge-Kutta methods | Differential-algebraic equation | Bidomain equations | Algorithms | Algebra | 65F10 | Numerical Analysis | Computer Science | Iterative methods | Preconditioning | 65N22 | BLOCK-TRIANGULAR PRECONDITIONER | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | MODEL | BOUNDARY-VALUE METHODS | RUSH-LARSEN METHOD | SCHWARZ | ELECTROCARDIOLOGY | Differential equations | Linear systems | Splitting | Discretization | Mathematical analysis | Strategy | Runge-Kutta method | Spectra | Time integration

Journal Article

Numerical Linear Algebra with Applications, ISSN 1070-5325, 10/2012, Volume 19, Issue 5, pp. 816 - 829

SUMMARY Saddle point systems arise widely in optimization problems with constraints. The utility of Schur complement approximation is now broadly appreciated...

Poisson control | PDE‐constrained optimization | Schur complement | preconditioning | Preconditioning | PDE-constrained optimization | FINITE-ELEMENT PROBLEMS | LINEAR-SYSTEMS | MATHEMATICS | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | ITERATIVE METHODS | SOLVERS | INDEFINITE SYSTEMS

Poisson control | PDE‐constrained optimization | Schur complement | preconditioning | Preconditioning | PDE-constrained optimization | FINITE-ELEMENT PROBLEMS | LINEAR-SYSTEMS | MATHEMATICS | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | ITERATIVE METHODS | SOLVERS | INDEFINITE SYSTEMS

Journal Article

SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2006, Volume 44, Issue 3, pp. 1275 - 1296

We propose and examine block- diagonal preconditioned and variants of indefinite preconditioners for block two-by-two generalized saddle-point problems. That...

Linear systems | Approximation | Spectral theory | Navier Stokes equation | Eigenvalues | Eigenvectors | Mathematical vectors | Matrices | Iterative methods | Preconditioning | Generalized saddle-point problems | Eigenvalue bounds | Krylov subspace methods | Saddle-point problems | iterative methods | MATHEMATICS, APPLIED | BLOCK PRECONDITIONERS | APPROXIMATION | generalized saddle-point problems | INDEFINITE LINEAR-SYSTEMS | INEXACT | preconditioning | NAVIER-STOKES EQUATIONS | eigenvalue bounds | PART | FAST ITERATIVE SOLUTION | OPTIMIZATION | point problems

Linear systems | Approximation | Spectral theory | Navier Stokes equation | Eigenvalues | Eigenvectors | Mathematical vectors | Matrices | Iterative methods | Preconditioning | Generalized saddle-point problems | Eigenvalue bounds | Krylov subspace methods | Saddle-point problems | iterative methods | MATHEMATICS, APPLIED | BLOCK PRECONDITIONERS | APPROXIMATION | generalized saddle-point problems | INDEFINITE LINEAR-SYSTEMS | INEXACT | preconditioning | NAVIER-STOKES EQUATIONS | eigenvalue bounds | PART | FAST ITERATIVE SOLUTION | OPTIMIZATION | point problems

Journal Article

International Journal of Computer Mathematics, ISSN 0020-7160, 01/1992, Volume 44, Issue 1-4, pp. 71 - 89

The preconditioned conjugate gradient method is well established for solving linear systems of equations that arise from the discretization of partial...

vector processor | point/block Jacobi preconditioner | G1.3 | Preconditioned Conjugate Gradient Method | POINT BLOCK JACOBI PRECONDITIONER | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | VECTOR PROCESSOR | PRECONDITIONED CONJUGATE GRADIENT METHOD | ALGORITHM

vector processor | point/block Jacobi preconditioner | G1.3 | Preconditioned Conjugate Gradient Method | POINT BLOCK JACOBI PRECONDITIONER | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | VECTOR PROCESSOR | PRECONDITIONED CONJUGATE GRADIENT METHOD | ALGORITHM

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 10/2018, Volume 77, Issue 1, pp. 101 - 128

Due to the indefiniteness and poor spectral properties, the discretized linear algebraic system of the vector Laplacian by mixed finite element methods is hard...

Computational Mathematics and Numerical Analysis | Multigrid methods | Theoretical, Mathematical and Computational Physics | Vector Laplacian | Mathematics | Maxwell equations | Algorithms | 65F10 | Mathematical and Computational Engineering | Saddle point system | 65N55 | 65N22 | 65N30 | Mixed finite elements | MATHEMATICS, APPLIED | SPACES | H(CURL) | EQUATIONS | H(DIV) | EXTERIOR CALCULUS | ALGORITHMS | FORMS | ELLIPTIC PROBLEMS | Finite element method | Analysis | Methods

Computational Mathematics and Numerical Analysis | Multigrid methods | Theoretical, Mathematical and Computational Physics | Vector Laplacian | Mathematics | Maxwell equations | Algorithms | 65F10 | Mathematical and Computational Engineering | Saddle point system | 65N55 | 65N22 | 65N30 | Mixed finite elements | MATHEMATICS, APPLIED | SPACES | H(CURL) | EQUATIONS | H(DIV) | EXTERIOR CALCULUS | ALGORITHMS | FORMS | ELLIPTIC PROBLEMS | Finite element method | Analysis | Methods

Journal Article

Acta Numerica, ISSN 0962-4929, 04/2015, Volume 24, pp. 329 - 376

The computational solution of problems can be restricted by the availability of solution methods for linear(ized) systems of equations. In conjunction with...

MATHEMATICS | BLOCK-TRIANGULAR PRECONDITIONERS | NAVIER-STOKES EQUATIONS | SADDLE-POINT PROBLEMS | APPROXIMATE INVERSE PRECONDITIONER | PARTIAL-DIFFERENTIAL-EQUATIONS | MINIMUM RESIDUAL METHODS | PDE-CONSTRAINED OPTIMIZATION | NONSYMMETRIC LINEAR-SYSTEMS | KRYLOV SUBSPACE METHODS | CONJUGATE-GRADIENT-METHOD | Mathematical problems

MATHEMATICS | BLOCK-TRIANGULAR PRECONDITIONERS | NAVIER-STOKES EQUATIONS | SADDLE-POINT PROBLEMS | APPROXIMATE INVERSE PRECONDITIONER | PARTIAL-DIFFERENTIAL-EQUATIONS | MINIMUM RESIDUAL METHODS | PDE-CONSTRAINED OPTIMIZATION | NONSYMMETRIC LINEAR-SYSTEMS | KRYLOV SUBSPACE METHODS | CONJUGATE-GRADIENT-METHOD | Mathematical problems

Journal Article

Numerical Linear Algebra with Applications, ISSN 1070-5325, 10/2018, Volume 25, Issue 5, p. n/a

Summary The Chebyshev accelerated preconditioned modified Hermitian and skew‐Hermitian splitting (CAPMHSS) iteration method is presented for solving the linear...

distributed control problems | complex linear systems | PMHSS preconditioner | Chebyshev iteration | two‐by‐two block matrices | two-by-two block matrices | MATHEMATICS | MATHEMATICS, APPLIED | PRECONDITIONERS | SADDLE-POINT PROBLEMS | PDE-CONSTRAINED OPTIMIZATION | Linear systems | Methods | Economic models | Splitting | Parameters | Robustness (mathematics) | Chebyshev approximation | Eigenvalues | Mathematical models | Galerkin method | Iterative methods | Matrix methods | Convergence

distributed control problems | complex linear systems | PMHSS preconditioner | Chebyshev iteration | two‐by‐two block matrices | two-by-two block matrices | MATHEMATICS | MATHEMATICS, APPLIED | PRECONDITIONERS | SADDLE-POINT PROBLEMS | PDE-CONSTRAINED OPTIMIZATION | Linear systems | Methods | Economic models | Splitting | Parameters | Robustness (mathematics) | Chebyshev approximation | Eigenvalues | Mathematical models | Galerkin method | Iterative methods | Matrix methods | Convergence

Journal Article

16.
Full Text
On SSOR-like preconditioner for saddle point problems with dominant skew-Hermitian part

International Journal of Computer Mathematics, ISSN 0020-7160, 04/2019, Volume 96, Issue 4, pp. 782 - 796

Based on the SSOR-like iteration method proposed by Bai [Numer. Linear Algebra Appl. 23 (2016), pp. 37-60], we present an SSOR-like preconditioner for the...

SSOR-like preconditioner | 65F10 | GMRES | dominant Skew-Hermitian part | spectral properties | 76D07 | saddle point problems | 65N22 | MATHEMATICS, APPLIED | SYMMETRIC SOR METHOD | MATRICES | Eigenvalues | Operation support systems | Iterative methods | Matrices (mathematics) | Saddle points | Linear algebra

SSOR-like preconditioner | 65F10 | GMRES | dominant Skew-Hermitian part | spectral properties | 76D07 | saddle point problems | 65N22 | MATHEMATICS, APPLIED | SYMMETRIC SOR METHOD | MATRICES | Eigenvalues | Operation support systems | Iterative methods | Matrices (mathematics) | Saddle points | Linear algebra

Journal Article

Journal of Scientific Computing, ISSN 0885-7474, 6/2005, Volume 22, Issue 1, pp. 371 - 384

We present a block preconditioner for LDG discretizations of Stokes equations. The dependence of its performance on the discretization parameters is...

Computational Mathematics and Numerical Analysis | Algorithms | Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Oseen equations | discontinuous Galerkin | Preconditioners | Mathematics | finite elements | saddle-point problems | Stokes equations | Discontinuous Galerkin | Finite elements | Saddle-point problems | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | SYSTEMS | DISCONTINUOUS GALERKIN METHOD | preconditioners

Computational Mathematics and Numerical Analysis | Algorithms | Mathematical and Computational Physics | Appl.Mathematics/Computational Methods of Engineering | Oseen equations | discontinuous Galerkin | Preconditioners | Mathematics | finite elements | saddle-point problems | Stokes equations | Discontinuous Galerkin | Finite elements | Saddle-point problems | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | SYSTEMS | DISCONTINUOUS GALERKIN METHOD | preconditioners

Journal Article

Computing and Visualization in Science, ISSN 1432-9360, 8/2012, Volume 15, Issue 4, pp. 191 - 207

Poroelastic models arise in reservoir modeling and many other important applications. Under certain assumptions, they involve a time-dependent coupled system...

Visualization | Computational Mathematics and Numerical Analysis | Algorithms | Stability of discretization | Calculus of Variations and Optimal Control; Optimization | Numerical Analysis | Poroelasticity | Mathematics | Preconditioning | Saddle point matrices | Computer Applications in Chemistry | Reservoirs | Analysis

Visualization | Computational Mathematics and Numerical Analysis | Algorithms | Stability of discretization | Calculus of Variations and Optimal Control; Optimization | Numerical Analysis | Poroelasticity | Mathematics | Preconditioning | Saddle point matrices | Computer Applications in Chemistry | Reservoirs | Analysis

Journal Article

Electronic Transactions on Numerical Analysis, ISSN 1068-9613, 2015, Volume 44, pp. 53 - 72

The development of preconditioners for PDE-constrained optimization problems is a field of numerical analysis which has recently generated much interest. One...

Stokes control | Saddle point system | Commutator | Schur complement | Preconditioning | PDE-constrained optimization | FINITE-ELEMENT PROBLEMS | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | ITERATIVE SOLVERS | SADDLE-POINT PROBLEMS | EQUATIONS | preconditioning | commutator | saddle point system | INDEFINITE SYSTEMS

Stokes control | Saddle point system | Commutator | Schur complement | Preconditioning | PDE-constrained optimization | FINITE-ELEMENT PROBLEMS | LINEAR-SYSTEMS | MATHEMATICS, APPLIED | ITERATIVE SOLVERS | SADDLE-POINT PROBLEMS | EQUATIONS | preconditioning | commutator | saddle point system | INDEFINITE SYSTEMS

Journal Article

Numerical Linear Algebra with Applications, ISSN 1070-5325, 05/2017, Volume 24, Issue 3, pp. np - n/a

Summary The incompressible. Stokes equations are a widely used model of viscous or tightly confined flow in which convection effects are negligible. In order...

monolithic multigrid | discontinuous Galerkin | block‐factorization preconditioners | Stokes equations | block-factorization preconditioners | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | MULTIGRID METHODS | PERFORMANCE | SOLVERS | MATHEMATICS | ELLIPTIC PROBLEMS | ELEMENTS | NUMERICAL-SOLUTION | SYSTEMS | FLOWS | SMOOTHERS | Discontinuity | Computational fluid dynamics | Discretization | Mathematical analysis | Fluid flow | Mathematical models | Stokes law (fluid mechanics) | Galerkin methods

monolithic multigrid | discontinuous Galerkin | block‐factorization preconditioners | Stokes equations | block-factorization preconditioners | MATHEMATICS, APPLIED | SADDLE-POINT PROBLEMS | MULTIGRID METHODS | PERFORMANCE | SOLVERS | MATHEMATICS | ELLIPTIC PROBLEMS | ELEMENTS | NUMERICAL-SOLUTION | SYSTEMS | FLOWS | SMOOTHERS | Discontinuity | Computational fluid dynamics | Discretization | Mathematical analysis | Fluid flow | Mathematical models | Stokes law (fluid mechanics) | Galerkin methods

Journal Article

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