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, ...
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 ...
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 ...
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 ...
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 ...
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 ...
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 ...
346 views

### 4 circular arcs, how plot the minimal surface?

By using Sjoerd de Vries code for circular arcs: ...
121 views

### Find initial surface to minimize between two close curves

I have two close curves in space defined by $g$ and $h$ with: ...
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-...
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 ...