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ESI mini-course

ESI mini-course on Elasticity and Geometry

Elasticity

1. Modeling Elasticity
- 1.5. Solving nonlinear Elasticity
2. Linearized elasticity
3. Gallery

Mixed methods

4. Mixed Methods
5. Mixed Methods for the Diffusion equations
6. TDNNS
- 6.7. Cooke’s membrane
- 6.8. Hybrid TDNNS for Cooke’s membrane benchmark
7. Navier-Stokes with MCS

Linear plates and shells

8. Plates from 3D elasticity
9. Reissner-Mindlin plates with TDNNS
10. Kirchhoff-Love plates with the Hellan-Herrmann-Johnson method
11. Linear shells

Mapping of tensors

12. The Function Space H(div)
13. Basis functions
Talk Paris

Preconditioning+Implementation

14. Preconditioning
15. Implementing FE

Nonlinear Solids and Structures

16. TDNNS method for Reissner-Mindlin shells
17. Nonlinear Koiter and Naghdi shells
18. Nonlinear elasticity with TDNNS and MCS
19. Fluid-structure interaction
- 19.1. Fluid-structure interaction with Taylor-Hood elements
- 19.2. Fluid-structure interaction with \(H(\mathrm{div})\)-conforming HDG

Extrinsic curvature

20. Extrinsic Curvature on a Triangulated Surface
21. Numerical approximation of extrinsic curvature
22. Analysis of the generalized and lifted shape operator

Intrinsic curvature

23. Gauss-Bonnet Theorem
24. Riemannian Manifolds
25. Regge finite elements and Regge metrics
26. Distributional Gauss curvature
27. Distributional Gauss curvature (analysis)
28. Distributional scalar curvature
29. Distributional Riemann curvature tensor curvature

.ipynb

Gallery

3. Gallery#

3D block with holes
twisted beam
meta-material
eigenvalues of disc
elasto-dynamics

previous

2. Linearized elasticity

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3.1. 3D Solid Mechanics

By M. Neunteufel and J. Schöberl

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