A Quadrature-Rule Type Approximation to the Quasi-Continuum Method

Max Gunzburger; Yanzhi Zhang

doi:10.1137/080722151

A Quadrature-Rule Type Approximation to the Quasi-Continuum Method

Max Gunzburger
, Yanzhi Zhang

Mathematics and Statistics

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

Abstract

A quadrature-rule type approximation of the quasi-continuum method for atomistic mechanics is presented. Simple analysis and computational experiments are presented that illustrate that the new method has, for the same accuracy, lower complexity compared to not only the quasi-continuum method, but also to cluster-type approximations of that method. A discussion about some implementation issues connected to the new method is also provided.

Original language	American English
Journal	Multiscale Modeling & Simulation
Volume	8
DOIs	https://doi.org/10.1137/080722151
State	Published - Jan 1 2009

Disciplines

Mathematics
Statistics and Probability

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http://doi.org/10.1137/080722151

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title = "A Quadrature-Rule Type Approximation to the Quasi-Continuum Method",

abstract = " A quadrature-rule type approximation of the quasi-continuum method for atomistic mechanics is presented. Simple analysis and computational experiments are presented that illustrate that the new method has, for the same accuracy, lower complexity compared to not only the quasi-continuum method, but also to cluster-type approximations of that method. A discussion about some implementation issues connected to the new method is also provided.",

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AB - A quadrature-rule type approximation of the quasi-continuum method for atomistic mechanics is presented. Simple analysis and computational experiments are presented that illustrate that the new method has, for the same accuracy, lower complexity compared to not only the quasi-continuum method, but also to cluster-type approximations of that method. A discussion about some implementation issues connected to the new method is also provided.

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VL - 8

JO - Multiscale Modeling & Simulation

JF - Multiscale Modeling & Simulation

ER -

A Quadrature-Rule Type Approximation to the Quasi-Continuum Method

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