Analysis of an Adaptive P-Persistent MAC Scheme for WLAN Providing Delay Fairness

2010 ◽  
Vol E93-B (2) ◽  
pp. 369-376
Author(s):  
Chih-Ming YEN ◽  
Chung-Ju CHANG ◽  
Yih-Shen CHEN ◽  
Ching Yao HUANG
Keyword(s):  
Mac Scheme

QoS Differentiation Based Adaptive p-Persistent MAC Scheme for Dynamic Optimization of the Channel Utilization

2009 ◽  
Vol 20 (3) ◽  
pp. 608-619 ◽  
Author(s):  
Xiang BAI ◽  
Yu-Ming MAO ◽  
Su-Peng LENG ◽  
Jian-Bing MAO ◽  
Jun XIE
Keyword(s):  
Dynamic Optimization ◽  
Channel Utilization ◽  
Qos Differentiation ◽  
Mac Scheme

scholarly journals TDMA-Based Cooperative NC MAC Scheme for Two-Way Relaying Networks

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 7123-7133 ◽  
Author(s):  
Qing F. Zhou ◽  
Lin Zhao ◽  
Min Peng ◽  
Xinyu Liu ◽  
Lisheng Fan
Keyword(s):  
Mac Scheme ◽  
Relaying Networks

scholarly journals Error estimates for the implicit MAC scheme for the compressible Navier–Stokes equations

2018 ◽  
Vol 141 (2) ◽  
pp. 495-567 ◽  
Author(s):  
Thierry Gallouët ◽  
David Maltese ◽  
Antonin Novotny
Keyword(s):  
Error Estimates ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Mac Scheme

scholarly journals Implicit MAC scheme for compressible Navier–Stokes equations: low Mach asymptotic error estimates

2020 ◽  
Author(s):  
David Maltese ◽  
Antonín Novotný
Keyword(s):  
Mach Number ◽  
Initial Data ◽  
Error Estimate ◽  
Strong Solution ◽  
Stokes Equations ◽  
Main Tool ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Low Mach Number ◽  
Mac Scheme

Abstract We investigate the error between any discrete solution of the implicit marker-and-cell (MAC) numerical scheme for compressible Navier–Stokes equations in the low Mach number regime and an exact strong solution of the incompressible Navier–Stokes equations. The main tool is the relative energy method suggested on the continuous level in Feireisl et al. (2012, Relative entropies, suitable weak solutions, and weak–strong uniqueness for the compressible Navier–Stokes system. J. Math. Fluid Mech., 14, 717–730). Our approach highlights the fact that numerical and mathematical analyses are not two separate fields of mathematics. The result is achieved essentially by exploiting in detail the synergy of analytical and numerical methods. We get an unconditional error estimate in terms of explicitly determined positive powers of the space–time discretization parameters and Mach number in the case of well-prepared initial data and in terms of the boundedness of the error if the initial data are ill prepared. The multiplicative constant in the error estimate depends on a suitable norm of the strong solution but it is independent of the numerical solution itself (and of course, on the discretization parameters and the Mach number). This is the first proof that the MAC scheme is unconditionally and uniformly asymptotically stable in the low Mach number regime.

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