It is obligatory that I make a wish for finite elements on immersed curves and surfaces. This has a plethora of applications in geometry processing, but also in physics, chemestry and microbiology. Here is a short, incomplete list of posts that could have been solved easier with surface FEM:

1. How to estimate geodesics on discrete surfaces?

2. Smoothing 3D contours as post processing

3. Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?

4. How to apply different equations to different parts of a geometry in PDE?

Surface FEM can be added with reasonable effort because first order elements can be implemented straightforwardly with essentially the same techniques as for full-dimensional domains. Also the data types for the meshes are already out there.

It is obligatory that I make a wish for finite elements on immersed curves and surfaces. This has a plethora of applications in geometry processing, but also in physics, chemistry and microbiology. Here is a short, incomplete list of posts that could have been solved easier with surface FEM:

1. How to estimate geodesics on discrete surfaces?

2. Smoothing 3D contours as post processing

3. Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?

4. How to apply different equations to different parts of a geometry in PDE?

Surface FEM can be added with reasonable effort because first order elements can be implemented straightforwardly with essentially the same techniques as for full-dimensional domains. Also the data types for the meshes are already out there.