[PDF] Top 20 A Comparison of highly efficient iterative linear solvers
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A Comparison of highly efficient iterative linear solvers
... This Thesis is brought to you for free and open access by the Thesis/Dissertation Collections at RIT Scholar Works. It has been accepted for inclusion in Theses by an authorized administrator of RIT Scholar Works. For ... See full document
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Comparison of iterative eigenvalue solvers for photonic crystal modeling
... a linear transformation acts simply by stretching/compressing and/or flipping; eigenvalues give you the factors by which this compression ...the linear transformation ... See full document
50
Methods For Increasing Domains Of Convergence In Iterative Linear System Solvers
... 1. INTRODUCTION The performance of classical iterative schemes for solving sparse linear systems is highly dependent on the spectra of the respective iteration matrices. Indeed, most theoretical ... See full document
95
Amesos2 and Belos: Direct and Iterative Solvers for Large Sparse Linear Systems
... the preordering as an option, it may be more efficient to use our ordering methods and skip the native ordering of the solvers. Amesos2 is designed to be used with different types of sparse matrices and ... See full document
16
Efficient linear solvers for incompressible flow simulations using Scott--Vogelius finite elements
... investigate linear solvers for the saddle point linear sys- tems arising in ((P k ) d , P k−1 disc )) Scott-Vogelius finite element implementations of the incompressible Navier-Stokes ...and ... See full document
23
Highly Efficient and Re-executable Private Function Evaluation with Linear Complexity
... Table 1 compares the existing 2PFE schemes in terms of overall communication cost, online/offline computation costs, and the number of rounds. We also provide Table 2 that depicts a comparison in terms of overall ... See full document
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Highly Efficient and Re-executable Private Function Evaluation with Linear Complexity
... (a) Number of gates = 2 10 (b) Number of gates = 2 30 Fig. 4. Comparision of cummulative communication cost via normalized bandwidth efficiency vs. number of PFE executions. (a) gives a comparison using a circuit ... See full document
19
Development of scalable linear solvers for engineering applications
... [2018]. 3.1 Introduction As presented in chapter 2, preconditioning is the principal ingredient for building ro- bust and efficient iterative solvers. Given the increasing number of unknowns asso- ... See full document
187
Efficient solvers for incompressible fluid flows in geosciences
... of linear equations arise in a wide variety of applications in computational science and ...of solvers have been developed for these type of problems typically with specific applications in ...the ... See full document
15
Iterative solvers for generalized finite element solution of boundary-value problems.
... direct solvers for the resulting linear ...ill-conditioned linear systems that are associated with these ...of iterative solvers for the generalized finite element solution of ... See full document
23
An efficient iterative scheme for the highly constrained augmented Stokes problem for the numerical simulation of flows in porous media
... new efficient iterative scheme to apply large-scale 3D simulations of flows in porous media, using on the optimal block-preconditioning and the combination of the Krylov-subspace/AMG method and the exact ... See full document
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Iterative Solvers for Linear Systems
... The Laplace operator is part of many important PDEs: • Financial mathematics: Diffusive process for option pricing. Why the Poisson Equation is of Importance[r] ... See full document
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Resilient Iterative Linear Solvers Running Through Errors.
... Preconditioned Linear Solvers In this work, we study a specific type of unreliability that is believed to become more prominent in future ...of linear systems is the foundation of nonlinear ... See full document
169
Block Iterative Methods and Recycling for Improved Scalability of Linear Solvers
... the linear system of 119 million double-precision complex unknowns yielded by the discretization of Maxwell’s equation using high- order edge elements of degree ... See full document
15
Weighted Matrix Ordering And Parallel Banded Preconditioners For Iterative Linear System Solvers
... subspace iterative scheme such as Bi-CGSTAB, is much more robust than almost all of the optimized versions of ILU ...the linear systems involving the banded preconditioner in each Krylov ... See full document
16
Efficient and reliable iterative methods for linear systems
... complete linear system can be solved by GMRES on a 400-processor distributed memory Parsytec system with an e$ciency of about 80% (this means that, with this domain adapted preconditioner, the process is about 320 ... See full document
15
Efficient Iterative Method for Solving the General Restricted Linear Equation
... The necessary and sufficient condition of convergence analysis also is given, which is different the condition given in [14]. The stability of our scheme is also considered. The paper is organized as follows. In Section ... See full document
11
Holistic Performance Engineering for Sparse Iterative Solvers
... Sparse Solvers > PASC’18 Holistic Performance Engineering for Sparse Iterative Solvers Jonas Thies ? Dominik Ernst † Melven Röhrig-Zöllner ? ? Institute of Simulation and Software Technology ... See full document
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The effects of geotechnical material properties on the convergence of iterative solvers
... analysis, iterative solvers, preconditioners ABSTRACT: There is increasing interest in the use of iterative rather than direct solvers for geotechnical finite element ...problems ... See full document
9
Fast iterative solvers for PDE-constrained optimization problems
... There have been countless other people who have assisted and advised me along the way. I would like to thank Tyrone Rees for sharing his research with me during the early months of my DPhil. I am also grateful to Sue ... See full document
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