Title : ( Improving stability domains of the implicit higher order accuracy method )
Authors: Mohaamad Rezaiee Pajand , Seyyed Reza Sarafrazi , Maryam Hashemian ,
Full TextAbstract
The implicit higher order accuracy (IHOA) time integration family has a high order of accuracy. However, its stability domains are very restrictive. By improving the stability conditions, the larger time steps can be utilized. In this study, two parameters are introduced in the displacement and velocity extrapolations of IHOA. In order to find the optimum values of the proposed parameters, the dissipation and the dispersion are investigated. Three conditionally stable versions of the second-, third-, and forth-order algorithms are found. It is shown that these formulations have larger stability domains than the previous ones. Furthermore, the suggested strategies give responses that are more accurate.
Keywords
nonlinear dynamic analysis; numerical time integration; implicit higher order accuracy process; improving stability
@article{paperid:1027182,
author = {Rezaiee Pajand, Mohaamad and Sarafrazi, Seyyed Reza and Hashemian, Maryam},
title = {Improving stability domains of the implicit higher order accuracy method},
journal = {Intenational Journal for Numerical Methods in Engineering},
year = {2011},
volume = {88},
number = {1},
month = {September},
issn = {0029-5981},
pages = {880--896},
numpages = {16},
keywords = {nonlinear dynamic analysis; numerical time integration; implicit higher order accuracy
process; improving stability},
}
%0 Journal Article
%T Improving stability domains of the implicit higher order accuracy method
%A Rezaiee Pajand, Mohaamad
%A Sarafrazi, Seyyed Reza
%A Hashemian, Maryam
%J Intenational Journal for Numerical Methods in Engineering
%@ 0029-5981
%D 2011
