Abstract
We show that three classical examples of schemes for the approximation of linear elliptic problems can be cast in a common framework, called the gradient discretisation method (GDM). An error estimate is then obtained by the extension to this framework of the second Strang lemma, which is completed by a second inequality showing that the conditions which are sufficient for the convergence of the method are also necessary.
Original language | English |
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Title of host publication | Numerical Mathematics and Advanced Applications ENUMATH 2017 |
Editors | Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop |
Publisher | Springer |
Pages | 451-459 |
Number of pages | 9 |
Volume | 126 |
ISBN (Electronic) | 9783319964157 |
ISBN (Print) | 9783319964140 |
DOIs | |
Publication status | Published - 1 Jan 2019 |
Event | European Conference on Numerical Mathematics and Advanced Applications 2017 - Voss, Norway Duration: 25 Sep 2017 → 29 Sep 2017 https://link.springer.com/book/10.1007%2F978-3-319-96415-7 (Proceedings) |
Publication series
Name | Lecture Notes in Computational Science and Engineering |
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Volume | 126 |
ISSN (Print) | 1439-7358 |
ISSN (Electronic) | 2197-7100 |
Conference
Conference | European Conference on Numerical Mathematics and Advanced Applications 2017 |
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Abbreviated title | ENUMATH 2017 |
Country | Norway |
City | Voss |
Period | 25/09/17 → 29/09/17 |
Internet address |