Stability of energy transfer in the weak coupling method

Konstantin Fackeldey; Rolf Krause; Marc Alexander Schweitzer

doi:10.1007/978-3-540-79994-8_7

Stability of energy transfer in the weak coupling method

Konstantin Fackeldey^*, Rolf Krause, Marc Alexander Schweitzer

^*Corresponding author for this work

Applied Mathematics and Computational Science

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

Abstract

In this paper we are concerned with a weak coupling technique for the concurrent simulation of multiscale phenomena. In particular we focus on the construction of an initial embedding of discrete atomic data fields in an appropriate subspace H _N(ω) L ²(ω) which provides the foundation for the proposed coupling technique in a function space setting. Thus, we must consider the regularity of the coupling information and the stability of the resulting basis.

Original language	English (US)
Title of host publication	Meshfree Methods for Partial Differential Equations IV
Pages	111-119
Number of pages	9
DOIs	https://doi.org/10.1007/978-3-540-79994-8_7
State	Published - 2008
Event	4th International Workshop on Meshfree Methods for Partial Differential Equations - Bonn, Germany Duration: Sep 17 2007 → Sep 20 2007

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	65
ISSN (Print)	1439-7358

Conference

Conference	4th International Workshop on Meshfree Methods for Partial Differential Equations
Country/Territory	Germany
City	Bonn
Period	09/17/07 → 09/20/07

Keywords

Continuum mechanics
Molecular dynamics
Multiscale
Weak coupling

ASJC Scopus subject areas

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

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10.1007/978-3-540-79994-8_7

Cite this

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title = "Stability of energy transfer in the weak coupling method",

abstract = "In this paper we are concerned with a weak coupling technique for the concurrent simulation of multiscale phenomena. In particular we focus on the construction of an initial embedding of discrete atomic data fields in an appropriate subspace H N(ω) L 2(ω) which provides the foundation for the proposed coupling technique in a function space setting. Thus, we must consider the regularity of the coupling information and the stability of the resulting basis.",

keywords = "Continuum mechanics, Molecular dynamics, Multiscale, Weak coupling",

author = "Konstantin Fackeldey and Rolf Krause and Schweitzer, {Marc Alexander}",

year = "2008",

doi = "10.1007/978-3-540-79994-8_7",

language = "English (US)",

isbn = "9783540799931",

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

pages = "111--119",

booktitle = "Meshfree Methods for Partial Differential Equations IV",

note = "4th International Workshop on Meshfree Methods for Partial Differential Equations ; Conference date: 17-09-2007 Through 20-09-2007",

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Fackeldey, K, Krause, R & Schweitzer, MA 2008, Stability of energy transfer in the weak coupling method. in Meshfree Methods for Partial Differential Equations IV. Lecture Notes in Computational Science and Engineering, vol. 65, pp. 111-119, 4th International Workshop on Meshfree Methods for Partial Differential Equations, Bonn, Germany, 09/17/07. https://doi.org/10.1007/978-3-540-79994-8_7

TY - GEN

T1 - Stability of energy transfer in the weak coupling method

AU - Fackeldey, Konstantin

AU - Krause, Rolf

AU - Schweitzer, Marc Alexander

PY - 2008

Y1 - 2008

N2 - In this paper we are concerned with a weak coupling technique for the concurrent simulation of multiscale phenomena. In particular we focus on the construction of an initial embedding of discrete atomic data fields in an appropriate subspace H N(ω) L 2(ω) which provides the foundation for the proposed coupling technique in a function space setting. Thus, we must consider the regularity of the coupling information and the stability of the resulting basis.

AB - In this paper we are concerned with a weak coupling technique for the concurrent simulation of multiscale phenomena. In particular we focus on the construction of an initial embedding of discrete atomic data fields in an appropriate subspace H N(ω) L 2(ω) which provides the foundation for the proposed coupling technique in a function space setting. Thus, we must consider the regularity of the coupling information and the stability of the resulting basis.

KW - Continuum mechanics

KW - Molecular dynamics

KW - Multiscale

KW - Weak coupling

UR - http://www.scopus.com/inward/record.url?scp=78651588648&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-79994-8_7

DO - 10.1007/978-3-540-79994-8_7

M3 - Conference contribution

AN - SCOPUS:78651588648

SN - 9783540799931

T3 - Lecture Notes in Computational Science and Engineering

SP - 111

EP - 119

BT - Meshfree Methods for Partial Differential Equations IV

T2 - 4th International Workshop on Meshfree Methods for Partial Differential Equations

Y2 - 17 September 2007 through 20 September 2007

ER -

Stability of energy transfer in the weak coupling method

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

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