| Title:
|
On a parabolic problem with nonlinear Newton boundary conditions (English) |
| Author:
|
Feistauer, Miloslav |
| Author:
|
Najzar, Karel |
| Author:
|
Švadlenka, Karel |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
429-455 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper is concerned with the study of a parabolic initial-boundary value problem with nonlinear Newton boundary condition considered in a two-dimensional domain. The goal is to prove the existence and uniqueness of a weak solution to the problem in the case when the nonlinearity in the Newton boundary condition does not satisfy any monotonicity condition and to analyze the finite element approximation. (English) |
| Keyword:
|
parabolic convection-diffusion equation |
| Keyword:
|
nonlinear Newton boundary condition |
| Keyword:
|
Galerkin method |
| Keyword:
|
compactness method |
| Keyword:
|
finite element approximation |
| Keyword:
|
error estimates |
| MSC:
|
35A35 |
| MSC:
|
35D05 |
| MSC:
|
35K57 |
| MSC:
|
35K60 |
| MSC:
|
65M60 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| idZBL:
|
Zbl 1090.35102 |
| idMR:
|
MR1920519 |
| . |
| Date available:
|
2009-01-08T19:23:34Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119333 |
| . |
| Reference:
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| . |
