scholarly journals Fixed Point Analysis of Douglas--Rachford Splitting for Ptychography and Phase Retrieval

2020 ◽  
Vol 13 (2) ◽  
pp. 609-650 ◽  
Author(s):  
Albert Fannjiang ◽  
Zheqing Zhang
Keyword(s):  
Fixed Point ◽  
Phase Retrieval ◽  
Point Analysis

PANS Turbulence Model for Seamless Transition Between RANS and LES: Fixed-Point Analysis and Preliminary Results

2003 ◽  
Author(s):  
Sharath S. Girimaji ◽  
Ravi Srinivasan ◽  
Euhwan Jeong
Keyword(s):  
Fixed Point ◽  
Navier Stokes ◽  
Control Parameters ◽  
Preliminary Results ◽  
Point Analysis ◽  
Large Eddy ◽  
Seamless Transition ◽  
Bridging Model ◽  
Reynolds Averaged Navier Stokes ◽  
Initial Results

Partially-averaged Navier-Stokes (PANS) approach has been recently developed as a possible bridging model between Reynolds-averaged Navier-Stokes (RANS) method and large-eddy simulations (LES). The resolution control parameters in PANS are the fractions of unresolved kinetic energy (fk) and unresolved dissipation (fε). We investigate the fixed-point behavior of PANS and present some preliminary results obtained using this model. By comparing the fixed-point behavior of PANS and URANS (unsteady Reynolds-averaged Navier-Stokes) methods, the possible advantage of the former over the latter is explained. Initial results from two-dimensional simulations of flow past square results are also presented.

scholarly journals Existence results for differential equations with reflection of the argument

1994 ◽  
Vol 57 (2) ◽  
pp. 237-260 ◽  
Author(s):  
Donal O'Regan
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Existence Results ◽  
Second Order ◽  
Systems Of Differential Equations ◽  
Nonlinear Alternative ◽  
Point Analysis ◽  
Second Order Equations

AbstractExistence principles are given for systems of differential equations with reflection of the argument. These are derived using fixed point analysis, specifically the Nonlinear Alternative. Then existence results are deduced for certain classes of first and second order equations with reflection of the argument.

scholarly journals New Insights From a Fixed-Point Analysis of Single Cell IEEE 802.11 WLANs

2007 ◽  
Vol 15 (3) ◽  
pp. 588-601 ◽  
Author(s):  
Anurag Kumar ◽  
Eitan Altman ◽  
Daniele Miorandi ◽  
Munish Goyal
Keyword(s):  
Fixed Point ◽  
Single Cell ◽  
Ieee 802.11 ◽  
Point Analysis ◽  
802.11 Wlans

CELL-TO-SITE RENORMALIZATION GROUP STUDY OF A SANDPILE

2008 ◽  
Vol 19 (11) ◽  
pp. 1695-1703 ◽  
Author(s):  
AN-CHUNG CHENG ◽  
CHIEN-FU CHEN ◽  
CHAI-YU LIN
Keyword(s):  
Exact Solution ◽  
Fixed Point ◽  
Renormalization Group ◽  
Sampling Algorithm ◽  
Point Analysis ◽  
Fundamental Difficulty ◽  
Simple Sampling

This study investigates the Bak–Tang–Wiesenfeld sandpile using a renormalization group (RG) approach based on the similarity of L × L RG cells of different scales. The fundamental difficulty of this approach arises from the lack of full enumeration of all relaxations inside a RG cell as L ≥ 3. This study develops a simple sampling algorithm to sample the relaxations and applies this algorithm to the RG calculations for L = 3, 4, and 8. As the fixed point analysis shows, increasing L does not lead the resultant height probabilities toward the exact solution.

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