Timeline for Discrete Sobolev space of $R^n$ valued maps
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 23, 2012 at 19:03 | vote | accept | user26265 | ||
| Sep 21, 2012 at 4:40 | comment | added | Shuhao Cao | Do you mean finite dimensional Sobolev spaces on a Delaunay triangulation of a domain? | |
| Sep 20, 2012 at 2:25 | comment | added | Deane Yang | Your suggestion is indeed a better one. | |
| Sep 19, 2012 at 22:54 | comment | added | Delio Mugnolo | sincerely, i don't think deane's suggestion is very efficient. to begin with, when you integrate ||F|| by parts to check weak differentiability you get something which is not very well-behaved. a vector-valued function with coordinates that vanish in all but one components is probably more appropriate, if you need a test function. | |
| Sep 19, 2012 at 12:00 | comment | added | Deane Yang | The usual thing to do, if $F$ is vector-valued is to use the scalar valued function $f = |F|$, where $|\cdot|$ is the usual Euclidean norm. This usually produces results good enough for most applications. Have you tried this yet? If so, please explain what difficulties you've run into. In the meantime, I'm voting to close. | |
| Sep 19, 2012 at 10:51 | answer | added | Delio Mugnolo | timeline score: 1 | |
| Sep 19, 2012 at 9:54 | comment | added | user26265 | Sorry for being too short.I am attaching a link.But what if f is a vector-valued map ?? facpub.stjohns.edu/ostrovsm/sobolev.pdf | |
| Sep 19, 2012 at 0:38 | comment | added | Deane Yang | 1) Could you be more precise about what you mean by a "discrete Sobolev space"? 2) Have you tried to do this yourself and run into any difficulties? If so, what? | |
| Sep 19, 2012 at 0:38 | comment | added | timur | What is the discrete Sobolev space? | |
| Sep 19, 2012 at 0:21 | history | asked | user26265 | CC BY-SA 3.0 |