Article
| Title: | A balanced finite-element method for an axisymmetrically loaded thin shell (English) |
| Author: | Heuer, Norbert |
| Author: | Linss, Torsten |
| Language: | English |
| Journal: | Applications of Mathematics |
| ISSN: | 0862-7940 (print) |
| ISSN: | 1572-9109 (online) |
| Volume: | 69 |
| Issue: | 2 |
| Year: | 2024 |
| Pages: | 151-168 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We analyse a finite-element discretisation of a differential equation describing an axisymmetrically loaded thin shell. The problem is singularly perturbed when the thickness of the shell becomes small. We prove robust convergence of the method in a balanced norm that captures the layers present in the solution. Numerical results confirm our findings. (English) |
| Keyword: | axisymmetrically loaded thin shell |
| Keyword: | singular perturbation |
| Keyword: | balanced norm |
| Keyword: | layer-adapted meshes |
| Keyword: | finite element method |
| MSC: | 65N30 |
| MSC: | 74K25 |
| MSC: | 74S05 |
| DOI: | 10.21136/AM.2024.0134-23 |
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| Date available: | 2024-04-04T12:06:23Z |
| Last updated: | 2024-04-04 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152309 |
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