Analytic Monotone Extension of Boundary Data

✍ Scribed by X.P. Sun; X.M. Yu

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 574 KB
• Volume: 77
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1994.1053

✦ Synopsis

We derive several schemes that extend a monotone function on the boundary of the unit square to be a monotone function on the unit square while maintaining the smoothness of the function. Our results are related to those of Dahmen, DeVore, and Micchelli and have application to the modeling of charge distribution in semiconductor design. (C) 1994 Academic Press, Inc.