| Title:
|
New results concerning the DWR method for some nonconforming FEM (English) |
| Author:
|
Vanselow, Reiner |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
57 |
| Issue:
|
6 |
| Year:
|
2012 |
| Pages:
|
551-568 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper presents a unified framework for the dual-weighted residual (DWR) method for a class of nonconforming FEM. Our approach is based on a modification of the dual problem and uses various ideas from literature which are combined in a new manner. The results are new error identities for some nonconforming FEM. Additionally, a posteriori error estimates with respect to the discrete $H^1$-seminorm are derived. (English) |
| Keyword:
|
nonconforming finite elements |
| Keyword:
|
dual-weighted residual method |
| Keyword:
|
a posteriori error estimate |
| Keyword:
|
Poisson equation |
| Keyword:
|
finite element method |
| Keyword:
|
Helmholtz decomposition |
| MSC:
|
35J05 |
| MSC:
|
65N15 |
| MSC:
|
65N30 |
| idZBL:
|
Zbl 1274.65293 |
| idMR:
|
MR3010236 |
| DOI:
|
10.1007/s10492-012-0033-8 |
| . |
| Date available:
|
2012-11-10T20:35:23Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143001 |
| . |
| 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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| . |
