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FEM with NGSolve

Solving PDEs with FEM using NGSolve

Introduction

1. Solving the Poisson Equation
2. Boundary Conditions
3. The electric field in a capacitor
4. Approximation of functions
5. Iterative Solvers

Elasticity

6. Modeling Elasticity
- 6.5. Solving nonlinear Elasticity
7. Linearized elasticity
8. Gallery

Navier-Stokes

9. Navier Stokes Equations:
10. Stokes Equation
11. Instationary transport equation
12. Navier-Stokes examples:

Discontinuous Galerkin

13. Stationary Transport Equation
14. Instationary Transport Equation
15. Nitsche’s Method for boundary and interface conditions
16. DG - Methods for elliptic problems
17. Hybrid DG for elliptic equations
18. Splitting Methods for the time-dependent convection diffusion equation
19. Fourth Order Equation
20. H(div)-conforming Stokes

Mixed and Hybrid

21. Mixed Methods
22. Mixed Methods for the Diffusion equations
23. TDNNS
- 23.7. Cooke’s membrane benchmark
24. Navier-Stokes with MCS

Plates and Shells

25. Structural mechanics
26. Kirchhoff plate equation
27. Reissner Mindlin plates
28. Naghdi shell
29. Fully nonlinear Koiter shell model
30. Sydney

Curvature

31. Computation of Curvature

Maxwell

32. Maxwell’s equations
33. Magnetostics
34. A simple coil
35. An advanced coil
36. The function space H(curl)
37. The de Rham complex
38. Ranks of discrete operators

Additional

39. Preconditioning
40. Implementing Finite Elements in NGSolve
41. Boundary element methods
Hypercomplex

Colab

.ipynb

Gallery

8. Gallery#

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

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7. Linearized elasticity

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8.1. 3D Solid Mechanics

By J. Schöberl

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