Premium
Multiscale enrichment based on partition of unity
Author(s) -
Fish Jacob,
Yuan Zheng
Publication year - 2004
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1230
Subject(s) - partition of unity , partition (number theory) , mathematics , finite element method , engineering , combinatorics , structural engineering
A new multiscale enrichment method based on the partition of unity (MEPU) method is presented. It is a synthesis of mathematical homogenization theory and the partition of unity method. Its primary objective is to extend the range of applicability of mathematical homogenization theory to problems where scale separation may not be possible. MEPU is perfectly suited for enriching the coarse scale continuum descriptions (PDEs) with fine scale features and the quasi‐continuum formulations with relevant atomistic data. Numerical results show that it provides a considerable improvement over classical mathematical homogenization theory and quasi‐continuum formulations. Copyright © 2005 John Wiley & Sons, Ltd.