| Title:
|
A posteriori error estimation for arbitrary order FEM applied to singularly perturbed one-dimensional reaction-diffusion problems (English) |
| Author:
|
Linß, Torsten |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2014 |
| Pages:
|
241-256 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
FEM discretizations of arbitrary order $r$ are considered for a singularly perturbed one-dimensional reaction-diffusion problem whose solution exhibits strong layers. A posteriori error bounds of interpolation type are derived in the maximum norm. An adaptive algorithm is devised to resolve the boundary layers. Numerical experiments complement our theoretical results. (English) |
| Keyword:
|
reaction-diffusion problem |
| Keyword:
|
singular perturbation |
| Keyword:
|
mesh adaptation |
| MSC:
|
65L10 |
| MSC:
|
65L11 |
| MSC:
|
65L50 |
| MSC:
|
65L60 |
| MSC:
|
65L70 |
| idZBL:
|
Zbl 06362224 |
| idMR:
|
MR3232628 |
| DOI:
|
10.1007/s10492-014-0052-8 |
| . |
| Date available:
|
2014-05-20T07:29:04Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143769 |
| . |
| 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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