# All Questions

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### Signed cell adjacency matrices (boundary operators)

In How to obtain the cell-adjacency graph of a mesh? there are some great answers that show how to obtain the cell adjacency matrix of a mesh. How would one generalize these to incorporate the ...
135 views

### Adjacent faces in a discrete mesh

I have a MeshRegion R and I want to extract all pairs of adjacent faces efficiently. The way that I've been computing this is demonstrated below: ...
349 views

### Picking mesh elements that are not on the border of the mesh

As an example, let's say I use a set of random points to create a Voronoi mesh pts = RandomReal[{-1, 1}, {100, 2}]; VoronoiMesh[pts, {-1, 1}] and get something ...
1k views

### A geometric multigrid solver for Mathematica?

Cross posted to community.wolfram.com Mathematica ships a variety of linear solvers through the interface LinearSolve[A, b, Method -> method] the most ...
132 views

### Add interpolating functions over an unstructured mesh to get a single interpolating function

In a Newton iterative FEM PDE solver I am writing, each iterative step involves updating the current solution function u by adding to it the increment function <...
1k views

### How to obtain the cell-adjacency graph of a mesh?

In addition to the accepted answer, see also the answer by Chip Hurst. This functionality is built in, but not documented. Given an arbitrary mesh region, how can I efficiently obtain the graph ...
55 views

### Correspondence between points and cell of their VoronoiMesh [duplicate]

It is not unreasonable to expect that the $k^\text{th}$ cell of a VoronoiMesh belongs to the $k^\text{th}$ point passed to it. However, this is not the case: <...
593 views

### Improve the mesh smoothing procedure

My question is inspired by this answer about meshing with quadrilateral elements. The following functions are my (naive) try of implementing the Laplacian smoothing. I find interior nodes in the mesh ...