| Title:
|
Numerical identification of a coefficient in a parabolic quasilinear equation (English) |
| Author:
|
Neumann, Jan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1985 |
| Pages:
|
110-125 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the article the following optimal control problem is studied: to determine a certain coefficient in a quasilinear partial differential equation of parabolic type so that the solution of a boundary value problem for this equation would minimise a given integral functional. In addition to the design and analysis of a numerical method the paper contains the solution of the fundamental problems connected with the formulation of the problem in question (existence and uniqueness of the solution of the boundary-value problem, existence of the solution of the optimal control problem). (English) |
| Keyword:
|
quasilinear parabolic equation |
| Keyword:
|
identification |
| Keyword:
|
gas chromatography |
| Keyword:
|
optimal control |
| Keyword:
|
numerical example |
| MSC:
|
35K20 |
| MSC:
|
35R30 |
| MSC:
|
49D07 |
| MSC:
|
49J20 |
| MSC:
|
65K10 |
| MSC:
|
65Z05 |
| MSC:
|
93B30 |
| idZBL:
|
Zbl 0574.65136 |
| idMR:
|
MR0778982 |
| DOI:
|
10.21136/AM.1985.104132 |
| . |
| Date available:
|
2008-05-20T18:26:57Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104132 |
| . |
| Reference:
|
[1] D. R. Richtmyer K. W. Morton: Difference methods for initial value problem;.Interscience Publishers, a division of John Wiley & Sons, 1967. MR 0220455 |
| Reference:
|
[2] J. L. Lions: Controle optimal de systèmes gouvernés par des équations aux dérivées partielles;.Paris, Dunod 1968. Zbl 0179.41801, MR 0244606 |
| Reference:
|
[3] J. H. Mufti: Computational methods in optimal control problems.(Lecture Notes in Operations Research and Mathematical Systems, n. 27); Berlin-Heidelberg-New York, Springer Verlag 1979. |
| . |
