The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Analysis of the heterogeneous multiscale method for elliptic homogenization problems
Open accessAbstract
A comprehensive analysis is presented for the heterogeneous multiscale method (HMM for short) applied to various elliptic homogenization problems. These problems can be either linear or nonlinear, with deterministic or random coefficients. In most cases considered, optimal estimates are proved for the error between the HMM solutions and the homogenized solutions. Strategies for retrieving the microstructural information from the HMM solutions are discussed and analyzed.
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Cites
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Heterogeneous Multiscale Methods: A Review
Weinan, E., Engquist, B., Li, X., Ren, W., & Vanden‐Eijnden, E. (2007) · Communications in Computational Physics · doi:10.4208/cicp.2007.v2.p367 · Cited by 687
Multiscale modeling of polymer rheology
De, S., Fish, J., Shephard, M. S., Keblinski, P., & Kumar, S. K. (2006) · Physical Review E · doi:10.1103/physreve.74.030801 · Cited by 32
Metadata
- Authors
- E, W., Ming, P., & Zhang, P.
- Venue
- Journal of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 2004-09-16
- Volume
- 18
- Issue
- 1
- Pages
- 121-156
- ISSN
- 0894-0347 (ISSN-L)
- 1088-6834
- OpenAlex
- W3214098784
- Cited by
- 303
- References
- 15
- FWCI
- 14.29
- Type
- journal article
- Language
- en
- Open access
- hybrid
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