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Efficient Iterative Methods for Saddle Point Problems

1997 Approximation theory
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Release : 1997
Genre : Approximation theory
Kind : eBook
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Book Synopsis Efficient Iterative Methods for Saddle Point Problems by : Vivek Sarin

Download or read book Efficient Iterative Methods for Saddle Point Problems written by Vivek Sarin. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This thesis investigates efficient iterative methods for a type of saddle-point problem, namely the generalized Stokes problem, which arises frequently in the simulation of time-dependent Navier-Stokes equations for incompressible fluid flow. These systems are indefinite due to a set of linear constraints on the velocity, causing difficulty for most preconditioners and iterative methods. A multilevel algorithm is proposed for the solution of such systems, which uses a novel technique for the construction of a basis for the space satisfying the constraints. The proposed algorithm achieves faster convergence on account of implicit preconditioning of the linear system, and can be implemented efficiently on parallel processors. Along with a scalable parallel implementation described in the thesis, the multilevel algorithm yields a competitive parallel preconditioned iterative method for the solution of these problems."

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

2018-02-19 Mathematics
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Release : 2018-02-19
Genre : Mathematics
Kind : eBook
Book Rating : 612/5 ( reviews)

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Book Synopsis Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications by : Daniele Bertaccini

Download or read book Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications written by Daniele Bertaccini. This book was released on 2018-02-19. Available in PDF, EPUB and Kindle. Book excerpt: This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.

Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations

2011 Mathematics
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Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 915/5 ( reviews)

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Book Synopsis Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations by : Owe Axelsson

Download or read book Efficient Preconditioned Solution Methods for Elliptic Partial Differential Equations written by Owe Axelsson. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This e-book presents several research areas of elliptical problems solved by differential equations. The mathematical models explained in this e-book have been contributed by experts in the field and can be applied to a wide range of real life examples. M

Analysis of iterative methods for saddle point problems : a unified approach

1998
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Release : 1998
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Book Synopsis Analysis of iterative methods for saddle point problems : a unified approach by : Walter Zulehner

Download or read book Analysis of iterative methods for saddle point problems : a unified approach written by Walter Zulehner. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt:

Iterative Methods for Sparse Linear Systems

2003-04-01 Mathematics
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Release : 2003-04-01
Genre : Mathematics
Kind : eBook
Book Rating : 342/5 ( reviews)

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Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad. This book was released on 2003-04-01. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

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