Analysis of the multiscale finite element method for nonlinear and random homogenization problems - Details

Author：

Chen, Zhangxin (Chen, Zhangxin.) | Savchuk, Tatyana Y. (Savchuk, Tatyana Y..)

Indexed by：

SCIE EI Scopus

Abstract：

In　this　paper　we　study　the　convergence　of　the　multiscale　finite　element　method　for　nonlinear　and　random　homogenization　problems.　Error　estimates　similar　to　those　for　linear　homogenization　problems　are　obtained　here.

Keyword：

convergence error estimate finite element multiscale finite element method multiscale problem nonlinear problems oversampling technique random problems stability

Author Community：

[ 1 ] Xian Jiaotong Univ, Res Ctr Sci, Xian 710049, Peoples R China
[ 2 ] [Chen, Zhangxin] Univ Calgary, Sculich Sch Engn, Dept Chem & Petr Engn, Calgary, AB T2N 1N4, Canada
[ 3 ] [Chen, Zhangxin] So Methodist Univ, Ctr Sci Computat, Dallas, TX 75275 USA
[ 4 ] [Chen, Zhangxin] Peking Univ, Coll Engn, Ctr Adv Reservoir Modeling & Simulat, Beijing 100871, Peoples R China
[ 5 ] [Savchuk, Tatyana Y.] So Methodist Univ, Dept Math, Dallas, TX 75275 USA

Reprint Author's Address：

Xian Jiaotong Univ, Res Ctr Sci, Xian 710049, Peoples R China.

Email：

zhachen@ucalgary.ca |
tsavchuk@mail.smu.edu

Show more details

Related Keywords：

THE MULTISCALE FINITE ELEMENT METHOD WITH NONCONFORMING ELEMENTS FOR ELLIPTIC HOMOGENIZATION PROBLEMS
2008，MULTISCALE MODELING & SIMULATION
Characteristic-mixed covolume methods for advection-dominated diffusion problems
2006，NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
THE ALMOST UNCONDITIONAL CONVERGENCE OF THE EULER IMPLICIT/EXPLICIT SCHEME FOR THE THREE DIMENSIONAL NONSTATIONARY NAVIER-STOKES EQUATIONS
2017，DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
A CLASS OF VARIATIONAL-HEMIVARIATIONAL INEQUALITIES WITH APPLICATIONS TO FRICTIONAL CONTACT PROBLEMS
2014，SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Source ：

SIAM JOURNAL ON NUMERICAL ANALYSIS

ISSN： 0036-1429

Year： 2008

Issue： 1

Volume： 46

Page： 260-279

1 . 1 5 2

JCR@2008

3 . 2 1 2

JCR@2020

ESI Discipline： MATHEMATICS;

JCR Journal Grade：1

CAS Journal Grade：2

Cited Count：

WoS CC Cited Count： 17

SCOPUS Cited Count： 20

ESI Highly Cited Papers on the List： 0 Unfold All

WanFang Cited Count：

Chinese Cited Count：

30 Days PV： 6

Affiliated Colleges：

数学与统计学院原基础科学研究中心

Get Fulltext

DOI Library Discovery Baidu Scholar Search

Type
Departments

All Years Choose Year From to