Finite Element Visualizer

I did a lot of things over this 6 hour dev log:

• Added Neumann Boundary conditions so now the boundary edges aren’t fixed to 0 (see slide 1)
• I did some more tweaks to the UI
• I started work on the GPU implementation of the conjugate gradient method by writing a dot product procedure in a compute shader using parallel reduction (see slide 2). What’s interesting is that summing using parallel reduction is actually better for floating point precision than just summing serially.

From here, I will continue working on the GPU implementation of conjugate gradient method. I am interested to see how much of a speed up will actually be gained when compared to the CPU implementation.

I spent most of my time revamping the UI. I changed things like button sizes and labels and added the option to select from preset meshes. I do still want to spend time on refining the UI to make sure users fully understand the flow of the app’s usage.
Image 1: General UI update
Image 2: Preset Meshes Selection List (UI is probably going to change)

I wrote some code to export the meshes that get generated to .obj and .ply files! Based on the value of the solution at each node (3D vertex), that vertex is extruded along its normal vector and given a color based on a color map (I’m using Viridis right now). The image below is an export of the Gray-Scott Reaction-Diffusion equations solved on the surface of a cube (slide 1) and a skull mesh (slide 2), both rendered in Blender.