Asymptotic and numerical homogenization

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作者
Engquist B, Souganidis PE
摘要
Homogenization is an important mathematical framework for developing effective models of differential equations with oscillations. We include in the presentation techniques for deriving effective equations, a brief discussion on analysis of related limit processes and numerical methods that are based on homogenization principles. We concentrate on first- and second-order partial differential equations and present results concerning both periodic and random media for linear as well as nonlinear problems. In the numerical sections, we comment on computations of multi-scale problems in general and then focus on projection-based numerical homogenization and the heterogeneous multi-scale method.
详细资料
- 文献种类: Journal Article
- 期刊名称: Acta Numerica
- 期刊缩写: ANU
- 期卷页: 2008年第17卷
- ISBN: 0962-4929
学科领域自然科学 » 数学
标签
asymptotics homogenization
相关链接 DOI URL
附件
Asymptotic and numerical homogenization