Linked Questions

57
votes
12answers
2k 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 alI fundamental FEM solvers (linear, nonlinear, stationary, ...
34
votes
1answer
895 views

How to perform Loop subdivision on a triangle mesh with Mathematica?

(Cross posted on Wolfram Community) Every now and then, the question pops up how a given geometric mesh (e.g. a MeshRegion) can be refined to produce a (i) finer ...
23
votes
2answers
690 views

Smoothing 3D contours as post processing

Context Following this question (and great answer!), It would be nice to have a function which also smooths 3D contours plots once they have been done. There are various solutions which involve ...
11
votes
1answer
1k views

How to display MeshRegion without vertices

I'm writing a library for handling very large and complicated (boundary) mesh regions on the order of ~150,000 vertices, ~450,000 edges, and ~300,000 triangles. The regions themselves are the cortical ...
17
votes
1answer
272 views

How can I get every function a user has made on StackExchange?

Yesterday I was looking at one of Henrik Schumacher's answers and realizing that it'd be useful to some of these functions more accessible for reuse. Copy-and-paste is nice, but better would be a ...
10
votes
1answer
200 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 ...
3
votes
1answer
606 views

How can I create a minimal surface with trefoil knot as inner edge and circle as outer edge?

This minimal surface is the subject of Michael Foster's beautiful wood-turned sculpture "Inversion" (see http://breezyhillturning.com/styled-2/photos-2/index.html). In addition, how can one create 2D ...
4
votes
0answers
346 views

4 circular arcs, how plot the minimal surface?

By using Sjoerd de Vries code for circular arcs: ...
0
votes
1answer
121 views

Find initial surface to minimize between two close curves

I have two close curves in space defined by $g$ and $h$ with: ...
2
votes
0answers
248 views

Use Mathematica FEM-functionality for further calculations

I would like to use MMA FEM abilities for example to apply galerkin's method to solve intergal equations or nonstandard numerical applications in a given mesh m. Is it possible to extract the "node-...
3
votes
0answers
134 views

Programmatic immersion of 2D surfaces in 3D [closed]

Disclaimer: This may be an open problem, or one that is too large to be amenable to a solution on this site; I'm not sure. Question: I'm looking for a method to programmatically immerse certain ...
7
votes
0answers
90 views

Higher order Laplacian flows

Given disjoint surfaces $q_i$ in 3D and their 1D boundary curves $\partial q_i = \gamma_i$, I seek a surface $p$ that joins the $q_i$, where $p \cup q_i$ forms a (piecewise) $C^k$ surface that ...