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Keywords:
axisymmetrically loaded thin shell; singular perturbation; balanced norm; layer-adapted meshes; finite element method
axisymmetrically loaded thin shell; singular perturbation; balanced norm; layer-adapted meshes; finite element method
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.
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