A balanced finite-element method for an axisymmetrically loaded thin shell.

DOI10.21136/AM.2024.0134-23MaRDI QIDQ6584361

Norbert Heuer, Torsten Linss

Publication date: 7 August 2024

Published in: Applications of Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular perturbationfinite element methodlayer-adapted meshesbalanced normaxisymmetrically loaded thin shell

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• The dome and the ring: verification of an old mathematical model for the design of a stiffened shell roof
• Layer-adapted meshes for reaction-convection-diffusion problems
• A problem of buckling of elastic plates of variable thickness.
• Remark on the theory of bending of plates of variable thickness.
• Application of a combined continuous-discontinuous Galerkin finite element method for the solution of the Girkmann problem
• Benchmark computations of stresses in a spherical dome with shell finite elements
• The Finite Element Analysis of Shells - Fundamentals
• Bef analogy for axisymmetrically loaded cylindrical shells
• Analysis of developable shells with special reference to the finite element method and circular cylinders
• A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems
• A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems
• Sufficient Conditions for Uniform Convergence on Layer-Adapted Grids
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