Mixed multiscale finite element analysis for wave equations using global information

Lijian Jiang; Yalchin Efendiev

doi:10.1007/978-3-642-11304-8_19

Mixed multiscale finite element analysis for wave equations using global information

Lijian Jiang^*, Yalchin Efendiev

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

A mixed multiscale finite element method (MsFEM) for wave equations is presented. Global information is used in the mixed MsFEM to construct multiscale basis functions. The solution of the wave equation smoothly depends on the global information. We investigate the relation between the smoothness of the global information and convergence rate of the mixed MsFEM.

Original language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XIX
Pages	181-188
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-642-11304-8_19
State	Published - 2010
Externally published	Yes
Event	19th International Conference on Domain Decomposition, DD19 - Zhanjiajie, China Duration: Aug 17 2009 → Aug 22 2009

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	78 LNCSE
ISSN (Print)	1439-7358

Other

Other	19th International Conference on Domain Decomposition, DD19
Country/Territory	China
City	Zhanjiajie
Period	08/17/09 → 08/22/09

ASJC Scopus subject areas

General Engineering
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Modeling and Simulation

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10.1007/978-3-642-11304-8_19

Cite this

@inproceedings{7c2d3a95a74742b6b3614d1f135636f2,

title = "Mixed multiscale finite element analysis for wave equations using global information",

abstract = "A mixed multiscale finite element method (MsFEM) for wave equations is presented. Global information is used in the mixed MsFEM to construct multiscale basis functions. The solution of the wave equation smoothly depends on the global information. We investigate the relation between the smoothness of the global information and convergence rate of the mixed MsFEM.",

author = "Lijian Jiang and Yalchin Efendiev",

year = "2010",

doi = "10.1007/978-3-642-11304-8_19",

language = "English (US)",

isbn = "9783642113031",

series = "Lecture Notes in Computational Science and Engineering",

pages = "181--188",

booktitle = "Domain Decomposition Methods in Science and Engineering XIX",

note = "19th International Conference on Domain Decomposition, DD19 ; Conference date: 17-08-2009 Through 22-08-2009",

}

Jiang, L & Efendiev, Y 2010, Mixed multiscale finite element analysis for wave equations using global information. in Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol. 78 LNCSE, pp. 181-188, 19th International Conference on Domain Decomposition, DD19, Zhanjiajie, China, 08/17/09. https://doi.org/10.1007/978-3-642-11304-8_19

Mixed multiscale finite element analysis for wave equations using global information. / Jiang, Lijian; Efendiev, Yalchin.
Domain Decomposition Methods in Science and Engineering XIX. 2010. p. 181-188 (Lecture Notes in Computational Science and Engineering; Vol. 78 LNCSE).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Mixed multiscale finite element analysis for wave equations using global information

AU - Jiang, Lijian

AU - Efendiev, Yalchin

PY - 2010

Y1 - 2010

N2 - A mixed multiscale finite element method (MsFEM) for wave equations is presented. Global information is used in the mixed MsFEM to construct multiscale basis functions. The solution of the wave equation smoothly depends on the global information. We investigate the relation between the smoothness of the global information and convergence rate of the mixed MsFEM.

AB - A mixed multiscale finite element method (MsFEM) for wave equations is presented. Global information is used in the mixed MsFEM to construct multiscale basis functions. The solution of the wave equation smoothly depends on the global information. We investigate the relation between the smoothness of the global information and convergence rate of the mixed MsFEM.

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U2 - 10.1007/978-3-642-11304-8_19

DO - 10.1007/978-3-642-11304-8_19

M3 - Conference contribution

AN - SCOPUS:78651563881

SN - 9783642113031

T3 - Lecture Notes in Computational Science and Engineering

SP - 181

EP - 188

BT - Domain Decomposition Methods in Science and Engineering XIX

T2 - 19th International Conference on Domain Decomposition, DD19

Y2 - 17 August 2009 through 22 August 2009

ER -

Mixed multiscale finite element analysis for wave equations using global information

Abstract

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