A balanced finite-element method for an axisymmetrically loaded thin shell
Norbert Heuer and Torsten Linß
Appl. Math. 69 (2), 151–168
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.