A Comparison of Multiresolution and Classical One-Dimensional Homogenization Schemes

✍ Scribed by A.C. Gilbert

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 429 KB
• Volume: 5
• Category: Article
• ISSN: 1063-5203
• DOI: 10.1006/acha.1997.0220

✦ Synopsis

Homogenization is a collection of methods for extracting or constructing equations for the coarse-scale behavior of solutions to equations which incorporate many scales. This paper compares the classical method of homogenization with the recently developed multiresolution strategy for a particular class of onedimensional second-order elliptic equations. We also examine several physical examples which highlight the distinctions between the two methods. ᭧ 1998