Work

Analysis of the heterogeneous multiscale method for elliptic homogenization problems

Year: 2004

Type: article

Abstract: 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.

Source: Journal of the American Mathematical Society

DOI: 10.1090/s0894-0347-04-00469-2

Authors: Weinan E, Pingbing Ming, Pingwen Zhang

Institutions: Princeton University, Peking University, Chinese Academy of Sciences, Academy of Mathematics and Systems Science

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Office of Naval Research

Awards: 层状复合板的无闭锁有限元方法, G2388594281, G8876996369