Recycling Krylov subspaces for CFD applications and a new hybrid recycling solver
TLDR
A new, hybrid approach is proposed that combines the cheap iterations of BiCGStab with the robustness of rGCROT, and is evaluated on a turbulent channel flow problem and on a porous medium flow problem.About:
This article is published in Journal of Computational Physics.The article was published on 2015-12-15 and is currently open access. It has received 30 citations till now. The article focuses on the topics: Krylov subspace & Biconjugate gradient stabilized method.read more
Citations
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Journal ArticleDOI
Practical Secure Computation Outsourcing: A Survey
TL;DR: The aim of this survey is to systemize and present the cutting-edge technologies in this area by presenting security threats and requirements, followed with other factors that should be considered when constructing secure computation outsourcing schemes.
Journal ArticleDOI
A survey of subspace recycling iterative methods
TL;DR: This survey concerns subspace recycling methods, a popular class of iterative methods that enable effective reuse of subspace information in order to speed up convergence and find good initial vectors over a sequence of linear systems with slowly changing coefficient matrices, multiple right‐hand sides, or both.
Journal ArticleDOI
An integrated reliability approach with improved importance sampling for low-cycle fatigue damage prediction of turbine disks
TL;DR: DC-PS-MIIL is demonstrated to be an effective reliability approach and numerical results show that the confidence levels, applied cycles and coefficients of variation (CVs) of random input variables have important impact on the LCF damage reliability for turbine disks.
Proceedings ArticleDOI
Block iterative methods and recycling for improved scalability of linear solvers
TL;DR: Various strategies will be presented to extend the scalability of existing multigrid or domain decomposition linear solvers using appropriate recycling strategies or block methods—i.e., by treating multiple right-hand sides simultaneously.
Journal ArticleDOI
A 2D immersed interface Vortex Particle-Mesh method
TL;DR: Results show that the present method is able to compete with purely Lagrangian methods in terms of the force prediction, which is quite remarkable.
References
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Book
Iterative Methods for Sparse Linear Systems
TL;DR: This chapter discusses methods related to the normal equations of linear algebra, and some of the techniques used in this chapter were derived from previous chapters of this book.
Journal ArticleDOI
GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
Youcef Saad,Martin H. Schultz +1 more
TL;DR: An iterative method for solving linear systems, which has the property of minimizing at every step the norm of the residual vector over a Krylov subspace.
Journal ArticleDOI
Methods of Conjugate Gradients for Solving Linear Systems
TL;DR: An iterative algorithm is given for solving a system Ax=k of n linear equations in n unknowns and it is shown that this method is a special case of a very general method which also includes Gaussian elimination.
Journal ArticleDOI
BI-CGSTAB: a fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
TL;DR: Numerical experiments indicate that the new variant of Bi-CG, named Bi- CGSTAB, is often much more efficient than CG-S, so that in some cases rounding errors can even result in severe cancellation effects in the solution.
Book
Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods
TL;DR: In this book, which focuses on the use of iterative methods for solving large sparse systems of linear equations, templates are introduced to meet the needs of both the traditional user and the high-performance specialist.