| Title:
|
Analysis of a non-standard mixed finite element method with applications to superconvergence (English) |
| Author:
|
Brandts, Jan H. |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
225-235 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that a non-standard mixed finite element method proposed by Barrios and Gatica in 2007, is a higher order perturbation of the least-squares mixed finite element method. Therefore, it is also superconvergent whenever the least-squares mixed finite element method is superconvergent. Superconvergence of the latter was earlier investigated by Brandts, Chen and Yang between 2004 and 2006. Since the new method leads to a non-symmetric system matrix, its application seems however more expensive than applying the least-squares mixed finite element method. (English) |
| Keyword:
|
least-squares mixed finite element method |
| Keyword:
|
non-standard mixed finite element method |
| Keyword:
|
superconvergence |
| Keyword:
|
supercloseness |
| MSC:
|
35J25 |
| MSC:
|
65N12 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| idZBL:
|
Zbl 1212.65441 |
| idMR:
|
MR2530540 |
| DOI:
|
10.1007/s10492-009-0014-8 |
| . |
| Date available:
|
2010-07-20T12:59:44Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140361 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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