Local Change of Coordinates for Grid-Functions on Regions with Curved Boundary

✍ Scribed by R. Kornhuber

• Publisher: John Wiley and Sons
• Year: 1988
• Tongue: English
• Weight: 689 KB
• Volume: 139
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19881390106

✦ Synopsis

Local change of coordinates, providing an appropriate transformation of functions on a domain QcR" into functionson Rn and R $ . is a well-knownand frequently used technical tool in the theory of SoBoLEv-spaces Wm9p (a) and partial differential equations. In this paper we propose a. corresponding transformation mapping grid-functions on regular grids Qh into functions on R: and R;,+ which as in the continuous case can be used t o remedy various difficulties arising the curved boundary of R.