Numerical Implementation of the Approximately Globally Convergent Method

2012 ◽  
pp. 169-192
Author(s):  
Larisa Beilina ◽  
Michael Victor Klibanov
Keyword(s):  
Numerical Implementation ◽  
Globally Convergent ◽  
Convergent Method

Convexity of a discrete Carleman weighted objective functional in an inverse medium scattering problem

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Nguyen Trung Thành
Keyword(s):  
Finite Number ◽  
Scattering Problem ◽  
One Dimensional ◽  
Globally Convergent ◽  
Convergent Method ◽  
Inverse Medium ◽  
Inverse Medium Scattering ◽  
Objective Functional

AbstractWe investigate a globally convergent method for solving a one-dimensional inverse medium scattering problem using backscattering data at a finite number of frequencies. The proposed method is based on the minimization of a discrete Carleman weighted objective functional. The global convexity of this objective functional is proved.

scholarly journals A derivative free globally convergent method and its deformations

2021 ◽  
Author(s):  
Manoj Kumar Singh ◽  
Arvind K. Singh
Keyword(s):  
Difference Operator ◽  
Linear Equations ◽  
Numerical Test ◽  
Test Functions ◽  
Globally Convergent ◽  
Forward Difference ◽  
Derivative Free ◽  
Fractal Patterns ◽  
Convergent Method ◽  
Non Linear Equations

AbstractThe motive of the present work is to introduce and investigate the quadratically convergent Newton’s like method for solving the non-linear equations. We have studied some new properties of a Newton’s like method with examples and obtained a derivative-free globally convergent Newton’s like method using forward difference operator and bisection method. Finally, we have used various numerical test functions along with their fractal patterns to show the utility of the proposed method. These patterns support the numerical results and explain the compactness regarding the convergence, divergence and stability of the methods to different roots.

Rapid and globally convergent method for dynamically loaded journal bearing design

1998 ◽  
Vol 212 (3) ◽  
pp. 207-214 ◽  
Author(s):  
H Hirani ◽  
K Athre ◽  
S Biswas
Keyword(s):  
Journal Bearing ◽  
Pressure Curve ◽  
Algebraic Equations ◽  
Connecting Rod ◽  
Main Bearing ◽  
Element Analysis ◽  
Globally Convergent ◽  
Dynamically Loaded ◽  
Convergent Method ◽  
Bearing Design

An approximate analytical pressure expression for dynamically loaded journal bearings is proposed. This approximation is applied to the solution of the finite journal bearing with a π-extent film. The starting and ending angular positions of the pressure curve are predicted by simple algebraic equations. The journal orbit is determined by treating it as an ‘inverse problem’ and evaluated by using the globally convergent Newton-Raphson method. To illustrate the validity of the present study, the Ruston and Hornsby big-end connecting rod bearing and an engine main bearing are analysed. The accuracy of the minimum film thickness and maximum film pressure values obtained by the proposed methodology is comparable to the more elaborate and time consuming finite element analysis, while the execution time is comparable to that required for the short bearing approximation.

scholarly journals Reconstructions for Continuous-Wave Diffuse Optical Tomography by a Globally Convergent Method

2014 ◽  
Vol 02 (05) ◽  
pp. 204-213 ◽  
Author(s):  
Jianzhong Su ◽  
Yueming Liu ◽  
Zi-Jing Lin ◽  
Steven Teng ◽  
Aubrey Rhoden ◽  
...  
Keyword(s):  
Continuous Wave ◽  
Optical Tomography ◽  
Diffuse Optical Tomography ◽  
Globally Convergent ◽  
Convergent Method

scholarly journals A globally convergent method to compute the real stability radius for time-delay systems

2019 ◽  
Vol 127 ◽  
pp. 44-51
Author(s):  
Francesco Borgioli ◽  
Wim Michiels ◽  
Ding Lu ◽  
Bart Vandereycken
Keyword(s):  
Time Delay ◽  
Stability Radius ◽  
Delay Systems ◽  
Time Delay Systems ◽  
The Real ◽  
Globally Convergent ◽  
Convergent Method ◽  
Real Stability ◽  
Real Stability Radius
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