A new steplength control for continuation with the asymptotic numerical method

被引：9

作者：

Gervais, JJ ^{[1
]}

Sadiky, H ^{[1
]}

机构：

[1] Univ Laval, Dept Math & Stat, Quebec City, PQ G1K 7P4, Canada

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2002年 / 22卷 / 02期

关键词：

continuation; steplength control; asymptotic; finite-element;

D O I：

10.1093/imanum/22.2.207

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The continuation method, based on the asymptotic numerical method, to compute solution branches of nonlinear problems depending upon a parameter, has been applied with success to a wide variety of problems in fluids and elasticity. Two methods for the steplength selection have been previously used. In this paper we propose a new strategy for the steplength choice which is more mathematically sound and yields a better control of the local truncation error.

引用

页码：207 / 229

页数：23

共 50 条

[21] Local Parameterization and the Asymptotic Numerical Method
Mottaqui, H.
Braikat, B.
Damil, N.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2010, 5 (07) : 16 - 22
[22] Quadratic approximants in the asymptotic numerical method
Jamai, R
Damil, N
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE, 2001, 329 (11): : 809 - 814
[23] Mulrigrid solver and asymptotic numerical method
Mtalaa, Anas
Cadou, Jean-Marc
Potier-Ferry, Michel
EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS, 2007, 16 (6-7): : 813 - 826
[24] Asymptotic numerical method for finite plasticity
El Kihal, Chafik
Askour, Omar
Belaasilia, Youssef
Hamdaoui, Abdellah
Braikat, Bouazza
Damil, Noureddine
Potier-Ferry, Michel
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2022, 206
[25] NUMERICAL CONTINUATION METHOD FOR A SYSTEM OF PARALLEL FLOW TUBES
FARAHZAD, P
TEWARSON, RP
COMPUTERS IN BIOLOGY AND MEDICINE, 1979, 9 (01) : 21 - 27
[26] A wavelet regularization method for solving numerical analytic continuation
Feng, Xiaoli
Ning, Wantao
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (05) : 1025 - 1038
[27] Numerical Polynomial Homotopy Continuation Method and String Vacua
Mehta, Dhagash
ADVANCES IN HIGH ENERGY PHYSICS, 2011, 2011
[28] A New Method for Continuation Power Flow
Liao, Tao
Liu, Xianlin
INTERNATIONAL CONFERENCE ON ELECTRICAL, CONTROL AND AUTOMATION (ICECA 2014), 2014, : 660 - 664
[29] An efficient gradient method using the Yuan steplength
De Asmundis, Roberta
di Serafino, Daniela
Hager, William W.
Toraldo, Gerardo
Zhang, Hongchao
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2014, 59 (03) : 541 - 563
[30] A New Numerical Method for an Asymptotic Coupled Model of Fractured Media Aquifer System
Liu, Wei
Cui, Jintao
Wang, Zhifeng
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 82 (01)

← 1 2 3 4 5 →