1D validation: distributed load bar (SOFA vs FreeFEM vs analytical)

[Fimache]

Cross-validation on a 1D bar under distributed load, comparing three approaches:

• SOFA (sofa_bar_distributed.py)
• FreeFEM++ (freefem_bar_distributed.edp)
• Analytical solution

Contents

• freefem_bar_distributed.edp — FEM resolution of the distributed load bar problem in FreeFEM++
• sofa_bar_distributed.py — equivalent SOFA scene (same geometric/material parameters)
• params_distributed.json — shared parameters (geometry, material, loading) between both solvers
• comparaison_script.py — comparison script computing the RMS error between SOFA, FreeFEM, and the analytical solution

Results

• RMS SOFA vs analytical ===> RMS(sofa, exact) = 2.158877e-16
• RMS SOFA vs FreeFEM: ===> RMS(sofa, ff) = 1.826920e-16

[th-skam]

Results are alright.

There are 2 things to do here:

1. Rebase this branch on main-freefem-sofa keeping only your last commit which contains the 1D validation. The other ones are part of a previous branch that has already been merged.
2. We had done some work here: https://github.com/InfinyTech3D/Elasticity/tree/main-freefem-sofa/examples/Freefem/1D_Bar
   Since you are always creating files from scratch, we keep your last one. Please delete everything inside the folder above.