| Title:
|
Nonlinear boundary value problems with application to semiconductor device equations (English) |
| Author:
|
Pospíšek, Miroslav |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
39 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
241-258 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper deals with boundary value problems for systems of nonlinear elliptic equations in a relatively general form. Theorems based on monotone operator theory and concerning the existence of weak solutions of such a system, as well as the convergence of discretized problem solutions are presented. As an example, the approach is applied to the stationary Van Roosbroeck’s system, arising in semiconductor device modelling. A convergent algorithm suitable for solving sets of algebraic equations generated by the discretization procedure proposed will be described in a forthcoming paper. (English) |
| Keyword:
|
boundary value problems for systems of nonlinear elliptic equations |
| Keyword:
|
semiconductor device equations |
| Keyword:
|
Galerkin method |
| Keyword:
|
nonlinear Neumann boundary conditions |
| Keyword:
|
elliptic systems |
| Keyword:
|
well-posedness |
| Keyword:
|
convergence |
| MSC:
|
35J65 |
| MSC:
|
65N12 |
| MSC:
|
65N30 |
| MSC:
|
65P05 |
| MSC:
|
78A55 |
| idZBL:
|
Zbl 0837.65127 |
| idMR:
|
MR1284099 |
| DOI:
|
10.21136/AM.1994.134255 |
| . |
| Date available:
|
2009-09-22T17:44:04Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134255 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[16] M. Pospíšek: Convergent algorithms suitable for the solution of the semiconductor device equations.To be published. |
| Reference:
|
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| Reference:
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| . |
