scholarly journals A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis

2019 ◽  
Vol 399 ◽  
pp. 108926 ◽  
Author(s):  
Li Luo ◽  
Wen-Shin Shiu ◽  
Rongliang Chen ◽  
Xiao-Chuan Cai
Keyword(s):  
Blood Flow ◽  
Newton Method ◽  
Inexact Newton Method ◽  
Human Artery ◽  
Flow Problems ◽  
Nonlinear Elimination

Electromagnetic subsurface prospecting by a fully nonlinear multifocusing inexact Newton method

2014 ◽  
Vol 31 (12) ◽  
pp. 2618 ◽  
Author(s):  
Marco Salucci ◽  
Giacomo Oliveri ◽  
Andrea Randazzo ◽  
Matteo Pastorino ◽  
Andrea Massa
Keyword(s):  
Newton Method ◽  
Inexact Newton Method ◽  
Fully Nonlinear

scholarly journals A Generalized Inexact Newton Method for Inverse Eigenvalue Problems

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Weiping Shen
Keyword(s):  
Newton Method ◽  
Quadratic Convergence ◽  
Eigenvalue Problems ◽  
Generalized Newton Method ◽  
Inexact Newton Method ◽  
Numerical Tests ◽  
Inverse Eigenvalue Problems ◽  
Inverse Eigenvalue ◽  
Generalized Newton ◽  
Special Case

We propose a generalized inexact Newton method for solving the inverse eigenvalue problems, which includes the generalized Newton method as a special case. Under the nonsingularity assumption of the Jacobian matrices at the solutionc*, a convergence analysis covering both the distinct and multiple eigenvalue cases is provided and the quadratic convergence property is proved. Moreover, numerical tests are given in the last section and comparisons with the generalized Newton method are made.

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

COMPUTATIONS OF PULSATILE AORTIC BLOOD FLOW PROBLEMS ON PARALLEL COMPUTERS

2003 ◽  
Vol 15 (03) ◽  
pp. 109-114
Author(s):  
YANG-YAO NIU ◽  
SHOU-CHENG TCHENG
Keyword(s):  
Blood Flow ◽  
Stokes Equations ◽  
Computing Time ◽  
Time Integration ◽  
Parallel Computer ◽  
Aortic Blood Flow ◽  
Pc Cluster ◽  
Flow Problems ◽  
Aortic Blood ◽  
Speed Up

In this study, a parallel computing technology is applied on the simulation of aortic blood flow problems. A third-order upwind flux extrapolation with a dual-time integration method based on artificial compressibility solver is used to solve the Navier-Stokes equations. The original FORTRAN code is converted to the MPI code and tested on a 64-CPU IBM SP2 parallel computer and a 32-node PC Cluster. The test results show that a significant reduction of computing time in running the model and a super-linear speed up rate is achieved up to 32 CPUs at PC cluster. The speed up rate is as high as 49 for using IBM SP2 64 processors. The test shows very promising potential of parallel processing to provide prompt simulation of the current aortic flow problems.

BLOOD FLOW IN CORONARY ARTERY BIFURCATION CALCULATED BY TURBULENT FINITE ELEMENT MODEL

2021 ◽  
Author(s):  
Aleksandar Nikolić ◽  
◽  
Marko Topalović ◽  
Milan Blagojević ◽  
Vladimir Simić
Keyword(s):  
Finite Element ◽  
Blood Flow ◽  
Kinetic Energy ◽  
Finite Element Model ◽  
Fluid Velocity ◽  
Fluid Pressure ◽  
Element Model ◽  
Viscous Sublayer ◽  
Flow Problems ◽  
Analysis Of Results

Simulation of blood flow in this paper is analyzed using two-equation turbulent finite element model that can calculate values in the viscous sublayer. Implicit integration of the equations is used for determining the fluid velocity, fluid pressure, turbulence, kinetic energy, and dissipation of turbulent kinetic energy. These values are calculated in the finite element nodes for each step of incremental- iterative procedure. Developed turbulent finite element model, with the customized generation of finite element meshes, is used for calculating complex blood flow problems. Analysis of results showed that a cardiologist can use proposed tools and methods for investigating the hemodynamic conditions inside bifurcation of arteries.

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