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Usage of the Finite Element Method embedded in NDSolve and details on the implementation of the fem in mathematica.

19 votes
3 answers
860 views

Using Regions, can I model a reflecting wavefront?

I was wondering if I could get Regions and Mathematica's shapes to do all the hard work for me in making a "droplet in a pond" simulation. I do not want the "waves" to interact. I've had moderate succ …
Tomi's user avatar
  • 4,768
36 votes
4 answers
7k views

Why is raytracing so slow?

I'm trying to get some rays to bounce in a circle. But I want to be able to control the reflections, i.e. the direction the rays bounce in the circle. I have a MWE below, and it is severely limited by …
Tomi's user avatar
  • 4,768
8 votes
3 answers
409 views

Raytracing using Regions & NSolve

I want to use geometric shapes in Mathematica to build complex shapes and use my raytracing algorithm on it. I have a working example where we can get the intersections from a combination of a Cone[] …
Tomi's user avatar
  • 4,768
11 votes
3 answers
1k views

How to determine if a point is within a concave 3D polyhedron?

Generally, if you have a 3D polyhedron and wanted to check if a point was within it, you would use something like a ConvexHullMesh to create a region, which you can then use RegionMemberQ to check if …
Tomi's user avatar
  • 4,768