Abstract
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.
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Supported by ANID-Chile through Fondecyt project 1230013. Open Access funding enabled and organized by Projekt DEAL.
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Heuer, N., Linss, T. A balanced finite-element method for an axisymmetrically loaded thin shell. Appl Math 69, 151–168 (2024). https://doi.org/10.21136/AM.2024.0134-23
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DOI: https://doi.org/10.21136/AM.2024.0134-23
Keywords
- axisymmetrically loaded thin shell
- singular perturbation
- balanced norm
- layer-adapted meshes
- finite element method