Questions tagged [mesh]

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

Filter by
Sorted by
Tagged with
5
votes
1answer
399 views

Increasing NDSolve computation range for 3D stationary PDE

I am trying to solve 3D Schrodinger equation (with mass equals to 1) and with no potential (I will add a potential later). My goal is to set boundary conditions on the outer boundary of a sphere and ...
5
votes
3answers
173 views

Unexpected behavior of ListPlot3D

This question surfaced when I was working on this question Given zVals = {{1, 1, 1, 1}, {1, 2, 1, 2}, {1, 1, 3, 1}, {1, 2, 1, 4}}; and ...
5
votes
1answer
210 views

How to get a larger triangle when we discretize a sphere?

In order to solve this problem,I want to get larger triangles (Of course less amount). But I don't know how to do this. I have tried MaxCellMeasure and ...
4
votes
1answer
116 views

Speedup DiscretizePDE when InitializePDECoefficients contains Interpolation functions

I work on FEM in Mathematica and want to speed up the computation when dealing with very fined mesh (i.e., a huge number of DOF). I found that a very much longer time is consumed when the ...
4
votes
1answer
99 views

ElementMeshInterpolation on a BoundaryMesh

It appears as though ElementMeshInterpolation does not play nice with the element meshes produced by BoundaryMesh ...
4
votes
1answer
131 views

Drawing a “realistic” VoronoiMesh

Consider a set of points generated via Lloyd's relaxation algorithm ...
4
votes
1answer
67 views

How to obtain a Region from a numerical (!) function

I'd like to achieve a Region from a purely numerically defined function. Like this one: ...
4
votes
1answer
190 views

Where to get the detailed code of MMA for grid mesh

I know DelaunayMesh can triangulate the specified area, but I can't see the code and partition idea of this built-in function. I want to know how to get the source ...
4
votes
1answer
241 views

Plot a revolution surface, with two cross sections to show its shape

I'm having trouble plotting a revolution surface with intersections. What I have done is shown in the figure, with the help of SphericalPlot3D: . But I can't plot ...
4
votes
3answers
124 views

Forcing at least $n$ spatial steps in solving a 1D spatio-temporal PDE problem with NDSolve

I want to solve the telegraph equation with a spatial discretization forced at 200 points. I tried: ...
4
votes
3answers
173 views

Cell-adjacency Graph of a Square Mesh

Consider the list of points pts = {{1, 1}, {1, 2}, {2, 1}, {2, 2}} I want to use them to define a 2x2 square mesh using ...
4
votes
1answer
357 views

Writing loops for triangle elements

I'm kind of new to using Mathematica, so any help is great. I'm trying to write a program that will create a list or matrix that will give each small triangle's point numbers. For example if given ...
3
votes
0answers
129 views

Why is MeshRegion atomic?

I wanted to make some changes inside a MeshRegion today and found that unlike Graphics objects, it can't be done directly ...
3
votes
2answers
206 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 <...
3
votes
1answer
348 views

Deleting mesh elements from a mesh

I am trying to make an interpolation function over my data. The points I am selecting make an unstructured grid, so I am following through the steps in the documentation "ref/message/...
3
votes
1answer
117 views

How to resize “ImageMesh”

How to make high resolution DiscretizeRegion from the given image? ImageDimensions[img] $\{963, 594\}$ For instance there ...
3
votes
1answer
227 views

Wave equation with mesh, “The ranges … cannot be combined to a region”

I am attempting to solve the wave equation with the boundary displacement oscillating in time, using mesh. Here is a working program for the heat equation with the same boundary conditions: ...
2
votes
1answer
76 views

How can I calculate volume of such a MeshRegion Object

The Data is here: meshData === PolygonData is here ...
2
votes
1answer
129 views

Finding the tangents of the function in each mesh

I have a 2D graphic which contains a table of curves within a circular region. ...
2
votes
1answer
97 views

ToElementMesh Error/General meshing strategies

I am trying to create a mesh using ToBoundaryMesh as opposed to DiscretizeRegion. I was hoping this would be a better strategy ...
2
votes
1answer
102 views

Information concerning undocumented function “Region`Mesh`MeshNearestCellIndex[r ]”

I'm looking for further information of the undocumented function Region`Mesh`MeshNearestCellIndex[r] (Thanks to Henrik Schumacher!) The function considers a ...
2
votes
1answer
114 views

Set maximum space between elements in 3D mesh

A region in 3D space has been discretized to obtain a list of points. The resulting ListPointPlot3D plot is: I will like to obtain a mesh from these points, but ...
2
votes
1answer
186 views

mesh refinement in a cylindrical mesh

I have been trying to refine a cylindrical mesh that i have generated but somehow the refinement that i visualize is not exactly that i prescribed. Here is the piece of code for it. ...
2
votes
1answer
363 views

ToElementMesh[]

Could you please help with the following: ...
1
vote
1answer
207 views

Angles inside of Voronoi mesh cells

How can I determine the angles belonging to the vertices of each interior Voronoi mesh cell? ...
1
vote
3answers
258 views

Surface mesh of a hemisphere

While trying to create a surface mesh of a hemisphere ...
0
votes
0answers
53 views

How can I convert such a model into a BoundaryMeshRegion

The obj file is here As you see, I cannot import such a house model into Mathematica with BoundaryMeshRegion Option. Import[objFile, "BoundaryMeshRegion"] So my ...

1 2 3
4