Questions on the use and creation of meshes including the use of MeshRegion, ElementMesh, and TetGenLink.

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15
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946 views

Using TetGen in Mathematica to get 3D Voronoi diagram

In this post, the use of TetGen for 3D Voronoi tesselation has been briefly discussed. However there is still no info about the use of TetGen to generate a 3D Voronoi diagram. The TetGen documentation ...
8
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0answers
271 views

How to create an ElementMesh of a Sphere

I want to create an ElementMesh of a "sphere". To reduce the computational effort I want to use HexahedronElement; the ...
7
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0answers
78 views

Defining a MeshRegion from a list of points and Polygons with duplicate points does not work in 10.4

Bug introduced in 10.4 and persists through 10.4.1 This code produces a MeshRegion in versions 10.0 through 10.3.1, ...
6
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0answers
134 views

Possible Bug with Options in DelaunayMesh

Bug introduced in 10.2 and persisting through 10.4 Update: It turns out after some testing, none of the Options work in ...
4
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0answers
236 views

Region Intersection for MeshRegion objects embedded in 3D

How can I create a logical intersection of MeshRegion objects that are three-dimensional? The RegionIntersection function will ...
4
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0answers
69 views

NIntegrate::ncvbr: How should we interpret and handle this error not mentioned in any documentation?

I have some user-defined module describing my integrand which has to be computed numerically (it's much more complicated than this but bear with me): ...
2
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0answers
88 views

ElementMesh (rendering?) issue

The appearance of the following ElementMesh is bad as you can see for example on the inside surface of the shell. The same problem happens converting to a ...
2
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0answers
72 views

Export Time-dependent STL Graphics

I have recently found that Mathematica may export files (.stl) which may be used for Blender (3D pictures and animations). However, I am interested in mathematics visualization, and I suppose that ...
1
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0answers
33 views

Find best convex approximation of an “almost convex” function

I've got values of a function of two variables at integer points inside a rectangle, that is, a rectangular table $f(i,j)$, $1\leqslant i\leqslant m$, $1\leqslant j\leqslant n$. The function is very ...
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0answers
48 views

Handling Self-Intersecting Regions

I am trying to test various parametric regions of a function for membership of the origin (point {0,0}). I generate the boundary by creating four parametric boundary curves, and then use RegionMember ...
1
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0answers
625 views

Doing local FFT on huge 3D vector data cell mesh and visualizing it spatially?

Simulation type: I'm running a simulation with the OOMMF micromagnetics package http://math.nist.gov/oommf/ where are magnet is represented by a mesh of 3 million cells, it gets excited by a ...
0
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0answers
20 views

Is there a extend mesh generation program link with mathematica such as openfoam native blockmesh?

I have read the relative mesh tutorial in mathematica, and found that it mainly focused on finite element method with triangle and tetrahedron, so I wonder if it is possible to link a general extend ...
0
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0answers
27 views

How can I efficiently select certain mesh elements based on measurement criteria?

I am trying to do some mesh cleaning based on element size, but I'm having a hard time seeing how to best use the MeshRegion data structure to accomplish it without ...
0
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0answers
40 views

Ordering of MeshCoordinates in MeshRegion and associated BoundaryMeshRegion

When generating a MeshRegion from a BoundaryMeshRegion and vice versa it would be advantageous if the two types of objects were ...
0
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0answers
115 views

How to get an element mesh from a region?

I've been exploring a new 3D solid commonly called the "Chestahedron" (7 faces of equal area). I wanted to find the centroid, so turned to Mathematica and found it!:) Other things of interest turned ...
0
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0answers
114 views

RegionPlot3D of MeshRegion with VertexColor-like behavior

I regularly use the VertexColors option with GraphicsComplex[] to render images of objects with certain attributes at the ...
0
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0answers
142 views

NDSolve: basic settings for PDEs

I am trying to learn how to solve PDEs in Mathematica in order to deal with relatively simple problems without needing to formulate weak formulations in FreeFem++, which is rather time consuming for ...