Linked Questions

82
votes
16answers
4k views

Future enhancements for the finite element method

How should the finite element method (FEM) framework in the language be extended to be more useful? With the release of version 12.0 all fundamental FEM solvers (linear, nonlinear, stationary, ...
67
votes
4answers
4k views

Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?

Given a closed curve $\mathcal C$ in three dimensions, is it possible to use Mathematica's built-in functionality to compute a minimal surface whose boundary is $\mathcal C$? For simplicity, let us ...
23
votes
4answers
653 views

Making holes from maze generated Graphics3D

...
19
votes
4answers
956 views

How to apply different equations to different parts of a geometry in PDE?

I want to solve two coupled partial differential equations on two dimension. There are two variables v and m. The geometry is a ...
19
votes
3answers
639 views

Generic contour smoothing with shading

Context It would be nice to have a function which smooths contours plots once they have been done. There are various solutions which involve smoothing the data before making the contours, but here I ...
15
votes
3answers
987 views

Rounding an Irregular Polygon

Consider a random irregular convex polygon, for example, the 6-side polygon I want to define a function that, given a certain parameter r (roundness), rounds each ...
9
votes
3answers
522 views

How to smoothen a surface given as a mesh?

I am trying to "smoothen" meshes. For example, if starting from a cuboid, I would like something similar to a rounded cuboid. There are many ways to smoothen a surface, but I am not going to give a ...
1
vote
3answers
93 views

Empty graph for function [duplicate]

I tried to get a dynamic plot of the following function using the simple command: ...
7
votes
2answers
158 views

Penalty function on discrete mesh using Laplace-Beltrami operator?

Context I am interested in extending to the ill-condionned regime the inversion of linear equations arising from inverting differential equations which have been solved via 0-splines over a mesh ...
2
votes
2answers
121 views

Get Graphics3D object for only part of a cone

I have the necessary information to define a cone and plot it in Mathematica: ...
0
votes
2answers
614 views

Solving the 3D Poisson equation on the surface of a cube using a relaxation method

The code below is from another question asked by someone else about solving the 3D Laplace equation for truncated octahedron in a cube matrix, How to solve Laplace equation in 3D?. I wanna know, how ...
11
votes
1answer
261 views

Fast way to reassemble SparseArrays

I often have to deal with nonlinear shape optimization problems involving curves or surfaces surfaces. A classical example is Plateau's problem. No matter if I use gradient-based techniques (such as ...
2
votes
1answer
207 views

How to make the ListContourPlot3D smooth and closed?

I am struggling with making my plot in ListContourPlot3D smooth and closed. I have seen so many posts regarding the same issue but in other functions, the solution of which can not be applied to ...
2
votes
0answers
109 views

How to reduce the number of polygons of 3D plots? [closed]

Is it possible to reduce the number of polygons a 3D plot is composed of in Mathematica? I created this animated inverted gyroid but if I want to make something more complicated it is too large (or ...
1
vote
0answers
30 views

How to smooth a ParametricPlot3D surface?

How does one smooth a surface produced by a ParametricPlot3D? Basically make corners more rounded, etc. A 3D surface equivalent of applying a gaussian filter to an image.