A balanced finite-element method for an axisymmetrically loaded thin shell
Numerical Analysis
2023-06-23 v1 Numerical Analysis
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.
Cite
@article{arxiv.2306.12952,
title = {A balanced finite-element method for an axisymmetrically loaded thin shell},
author = {Norbert Heuer and Torsten Linß},
journal= {arXiv preprint arXiv:2306.12952},
year = {2023}
}