Title
Convergence of the Heterogeneous Multiscale Finite Element Method for Elliptic Problems with Nonsmooth Microstructures
Abstract
We propose a condition under which the heterogeneous multiscale finite element method converges for elliptic problems with nonsmooth coefficients, and we obtain the optimal convergence rate for elliptic problems with nonsymmetric periodic coefficients that allow for nonsmooth microstructures.
Year
DOI
Venue
2010
10.1137/090780754
MULTISCALE MODELING & SIMULATION
Keywords
Field
DocType
heterogeneous multiscale method,H-convergence,convergence rate
Convergence (routing),Mathematical optimization,Mathematical analysis,Finite element method,Rate of convergence,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
8
5
1540-3459
Citations 
PageRank 
References 
2
0.51
7
Authors
2
Name
Order
Citations
PageRank
Rui Du120.51
Pingbing Ming27212.02