On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models

J. T. Oden; S. Prudhomme; P. Bauman

doi:10.1016/j.cma.2004.08.010

On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models

J. T. Oden^*, S. Prudhomme, P. Bauman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The Goals algorithm for adaptive modeling is extended to the case of discrete models such as those characterized by lattice structures (or the static behavior molecular systems) by using surrogate models obtained from continuum approximations of the lattice. The result is a technique that could provide for scale-bridging between continuum models and atomistic models, although the present development concerns only simple algebraic systems. An example is provided in which quantities of interest in system with a large number of degrees of freedom are computed to a preset tolerance in relatively few low-order approximations.

Original language	English (US)
Pages (from-to)	3668-3688
Number of pages	21
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	194
Issue number	34-35
DOIs	https://doi.org/10.1016/j.cma.2004.08.010
State	Published - Sep 2 2005
Externally published	Yes

Keywords

Adaptive modeling
Continuum/lattice
Error estimates
Models
Multiscale models

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
General Physics and Astronomy
Computer Science Applications

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10.1016/j.cma.2004.08.010

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title = "On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models",

abstract = "The Goals algorithm for adaptive modeling is extended to the case of discrete models such as those characterized by lattice structures (or the static behavior molecular systems) by using surrogate models obtained from continuum approximations of the lattice. The result is a technique that could provide for scale-bridging between continuum models and atomistic models, although the present development concerns only simple algebraic systems. An example is provided in which quantities of interest in system with a large number of degrees of freedom are computed to a preset tolerance in relatively few low-order approximations.",

keywords = "Adaptive modeling, Continuum/lattice, Error estimates, Models, Multiscale models",

author = "Oden, {J. T.} and S. Prudhomme and P. Bauman",

note = "Funding Information: The support of the work by ONR under contract N00014-95-0401 is gratefully acknowledged. The work of Paul Bauman was supported by a DOE Computational Science Graduate Fellowship.",

year = "2005",

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doi = "10.1016/j.cma.2004.08.010",

language = "English (US)",

volume = "194",

pages = "3668--3688",

journal = "Computer Methods in Applied Mechanics and Engineering",

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publisher = "Elsevier B.V.",

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TY - JOUR

T1 - On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models

AU - Oden, J. T.

AU - Prudhomme, S.

AU - Bauman, P.

N1 - Funding Information: The support of the work by ONR under contract N00014-95-0401 is gratefully acknowledged. The work of Paul Bauman was supported by a DOE Computational Science Graduate Fellowship.

PY - 2005/9/2

Y1 - 2005/9/2

N2 - The Goals algorithm for adaptive modeling is extended to the case of discrete models such as those characterized by lattice structures (or the static behavior molecular systems) by using surrogate models obtained from continuum approximations of the lattice. The result is a technique that could provide for scale-bridging between continuum models and atomistic models, although the present development concerns only simple algebraic systems. An example is provided in which quantities of interest in system with a large number of degrees of freedom are computed to a preset tolerance in relatively few low-order approximations.

AB - The Goals algorithm for adaptive modeling is extended to the case of discrete models such as those characterized by lattice structures (or the static behavior molecular systems) by using surrogate models obtained from continuum approximations of the lattice. The result is a technique that could provide for scale-bridging between continuum models and atomistic models, although the present development concerns only simple algebraic systems. An example is provided in which quantities of interest in system with a large number of degrees of freedom are computed to a preset tolerance in relatively few low-order approximations.

KW - Adaptive modeling

KW - Continuum/lattice

KW - Error estimates

KW - Models

KW - Multiscale models

UR - http://www.scopus.com/inward/record.url?scp=20344393593&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2004.08.010

DO - 10.1016/j.cma.2004.08.010

M3 - Article

AN - SCOPUS:20344393593

SN - 0045-7825

VL - 194

SP - 3668

EP - 3688

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 34-35

ER -

On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models

Abstract

Keywords

ASJC Scopus subject areas

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