| Title:
|
Convergence of discretization procedures for problems whose entropy solutions are uniquely characterized by additional relations (English) |
| Author:
|
Ansorge, Rainer |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
48 |
| Issue:
|
6 |
| Year:
|
2003 |
| Pages:
|
417-427 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Weak solutions of given problems are sometimes not necessarily unique. Relevant solutions are then picked out of the set of weak solutions by so-called entropy conditions. Connections between the original and the numerical entropy condition were often discussed in the particular case of scalar conservation laws, and also a general theory was presented in the literature for general scalar problems. The entropy conditions were realized by certain inequalities not generalizable to systems of equations in a trivial way. It is a concern of this article to extend the theory in such a way that inequalities can be replaced by general relations, and this not only in an abstract way but also realized by examples. (English) |
| MSC:
|
35L60 |
| MSC:
|
47J25 |
| MSC:
|
65J15 |
| MSC:
|
65N12 |
| idZBL:
|
Zbl 1099.65049 |
| idMR:
|
MR2025295 |
| DOI:
|
10.1023/B:APOM.0000024483.00505.79 |
| . |
| Date available:
|
2009-09-22T18:14:53Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134540 |
| . |
| 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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| . |
