| Title:
|
A note on necessary and sufficient conditions for convergence of the finite element method (English) |
| Author:
|
Kučera, Václav |
| Language:
|
English |
| Journal:
|
Application of Mathematics 2015 |
| Volume:
|
Proceedings. Prague, November 18-21, 2015 |
| Issue:
|
2015 |
| Year:
|
|
| Pages:
|
132-139 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this short note, we present several ideas and observations concerning finite element convergence and the role of the maximum angle condition. Based on previous work, we formulate a hypothesis concerning a necessary condition for $O(h)$ convergence and show a simple relation to classical problems in measure theory and differential geometry which could lead to new insights in the area. (English) |
| Keyword:
|
finite element method |
| Keyword:
|
a priori error estimates |
| Keyword:
|
maximum angle condition |
| MSC:
|
53A05 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| idZBL:
|
Zbl 06669925 |
| . |
| Date available:
|
2017-02-14T10:24:24Z |
| Last updated:
|
2017-03-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702971 |
| . |
