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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
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
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 09/2014, Volume 243, pp. 825 - 837
Journal Article
Numerical Linear Algebra with Applications, ISSN 1070-5325, 12/2010, Volume 17, Issue 6, pp. 977 - 996
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
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2006, Volume 44, Issue 3, pp. 1275 - 1296
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
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 10/2018, Volume 77, Issue 1, pp. 101 - 128
Journal Article
Acta Numerica, ISSN 0962-4929, 04/2015, Volume 24, pp. 329 - 376
Journal Article
Numerical Linear Algebra with Applications, ISSN 1070-5325, 10/2018, Volume 25, Issue 5, p. n/a
Journal Article
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
Journal Article
Journal of Scientific Computing, ISSN 0885-7474, 6/2005, Volume 22, Issue 1, pp. 371 - 384
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
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
Journal Article
Numerical Linear Algebra with Applications, ISSN 1070-5325, 05/2017, Volume 24, Issue 3, pp. np - n/a
Journal Article
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