| Title:
|
The general form of local bilinear functions (English) |
| Author:
|
Práger, Milan |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
38 |
| Issue:
|
2 |
| Year:
|
1993 |
| Pages:
|
145-157 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The scalar product of the FEM basis functions with non-intersecting supports vanishes. This property is generalized and the concept of local bilinear functional in a Hilbert space is introduced. The general form of such functionals in the spaces $L_2(a,b)$ and $H^1(a,b)$ is given. (English) |
| Keyword:
|
bilinear functional |
| Keyword:
|
bilinear form |
| Keyword:
|
Sobolev spaces |
| Keyword:
|
local bilinear functional |
| Keyword:
|
boundary-value problems for elliptic differential operators |
| MSC:
|
35A15 |
| MSC:
|
35J40 |
| MSC:
|
46C99 |
| MSC:
|
46E30 |
| MSC:
|
46E35 |
| MSC:
|
65N30 |
| idZBL:
|
Zbl 0785.46034 |
| idMR:
|
MR1202750 |
| DOI:
|
10.21136/AM.1993.104541 |
| . |
| Date available:
|
2008-05-20T18:45:18Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104541 |
| . |
| Reference:
|
[1] V. Jarník: Differential Calculus.Publishing House of the Czech. Acad. Sci., Prague, 1953. (In Czech.) |
| . |
