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

Author

Max Gunzburger
Yanzhi Zhang, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

M. Gunzburger and Y. Zhang, "A Quadrature-Rule Type Approximation to the Quasi-Continuum Method," Multiscale Modeling & Simulation, vol. 8, no. 2, pp. 571 - 590, Society for Industrial and Applied Mathematics (SIAM), Jan 2009.

The definitive version is available at https://doi.org/10.1137/080722151

Department(s)

Mathematics and Statistics

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2010 Society for Industrial and Applied Mathematics (SIAM), All rights reserved.

Publication Date

01 Jan 2009