A Fast Preconditioned Iterative Solver for Unsteady Incompressible Flow Problems

2013 ◽  
Author(s):  
Jia Liu ◽  
Lina Wu
Keyword(s):  
Incompressible Flow ◽  
Iterative Solver ◽  
Flow Problems ◽  
Preconditioned Iterative

Analysis of preconditioned iterative solvers for incompressible flow problems

2011 ◽  
Vol 68 (3) ◽  
pp. 269-286 ◽  
Author(s):  
S. A. Melchior ◽  
V. Legat ◽  
P. Van Dooren ◽  
A. J. Wathen
Keyword(s):  
Incompressible Flow ◽  
Iterative Solvers ◽  
Flow Problems ◽  
Preconditioned Iterative

scholarly journals GPU-Based Fast Decoupled Power Flow With Preconditioned Iterative Solver and Inexact Newton Method

2017 ◽  
Vol 32 (4) ◽  
pp. 2695-2703 ◽  
Author(s):  
Xue Li ◽  
Fangxing Li ◽  
Haoyu Yuan ◽  
Hantao Cui ◽  
Qinran Hu
Keyword(s):  
Newton Method ◽  
Power Flow ◽  
Inexact Newton Method ◽  
Iterative Solver ◽  
Preconditioned Iterative

scholarly journals Efficient Preconditioners for Large Scale Binary Cahn-Hilliard Models

2012 ◽  
Vol 12 (1) ◽  
pp. 1-22 ◽  
Author(s):  
Petia Boyanova ◽  
Minh Do-Quang ◽  
Maya Neytcheva
Keyword(s):  
Large Scale ◽  
Iterative Solution ◽  
Flow Problems ◽  
Hilliard Equation ◽  
Finite Element Discretizations ◽  
Solution Methods ◽  
Iterative Solution Methods ◽  
Preconditioned Iterative ◽  
Cahn Hilliard Equation ◽  
Element Discretizations

AbstractIn this work we consider preconditioned iterative solution methods for numerical simulations of multiphase flow problems, modelled by the Cahn-Hilliard equation. We focus on diphasic flows and the construction and efficiency of a preconditioner for the algebraic systems arising from finite element discretizations in space and the θ-method in time. The preconditioner utilises to a full extent the algebraic structure of the underlying matrices and exhibits optimal convergence and computational complexity properties. Various numerical experiments, including large scale examples, are presented as well as performance comparisons with other solution methods.

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