#FiniteElements

2025-01-10

Yesterday, we had our FEStokes-RePair game night.
It was fun. We experimented with the FEStokes-Repair Validator app and we even developed a Poker version of the game. #gameon #festokesrepair #FiniteElements

2025-01-01

✨ A small dream came true last year: In the past year, we developed our very own (nerd) card game: FEStokes-RePair! 🎉🃏

The game uses the finite element discretization of the Stokes equations as a metaphor.

For details see here: fe-nerd-games.github.io/FEStok (and the following thread)

#NumericalAnalysis
#MathGames
#EducationalGames
#FiniteElements
#FEStokes-RePair

2024-08-17

In my Python FEA package FElupe I've noticed that the time spent on assembling (especially large) finite element matrices takes longer than in recent releases. The slowdown is about 15% to 100%, depending on the number of degrees of freedom. From a computational-cost point of view, there are some cheap arrays stored inside a numeric region. A somewhat massive einsum-call further evaluates the values for the sparse finite element matrix. Due to some recent code changes, these cheap region arrays aren't contiguous anymore. That slows down the finite element matrix assembly up to 100%! By ensuring C-contiguous arrays, performance is back to normal (NumPy array flags are available as attribute ndarray.flags).

github.com/adtzlr/felupe

#python #numpy #FiniteElementMethod #finiteelements #fem #fea #scientificcomputing #computationalmechanics

2024-06-04

FElupe 🔍 now has visual previews for the schemes of most numeric regions (finite element formulation + quadrature rule) in its HTML API docs - thanks to PyVista. There are also a lot of helpful static and interactive plots in other sections of the docs too. Go check it out!

Simulating the nonlinear deformation of hyperelastic structures has never been easier in a few lines of Python code.

felupe.readthedocs.io/

#fea #fem #scientificcomputing #computationalmechanics #FiniteElementMethod #finiteelements #python #plot

A Bi-Qadratic Quad Element with a 9-point Gauss-Legendre quadrature rule in 2d space)
2023-09-06

FElupe - A Python package for Finite Element Analysis, Version 7.8.0 is available on PyPI. Now with mesh-generators for the elementary shapes line, rectangle, cube, triangle and circle.

github.com/adtzlr/felupe

#computationalmechanics #scientificcomputing #python #opensource #finiteelements #fea #pde

A circle with quad cells.
2023-08-30

Hey, exciting news about quad/hex-meshing: Easily create planar quad meshes between two line meshes by interpolation. Same applies for hex meshes between two quad meshes. Will be included in the upcoming release 7.7.0 of FElupe on PyPI!

felupe.readthedocs.io/en/lates

#mesh #finiteelements #meshing #python #opensource #mechanics #fea #fem #quad #hex #geometry #computationalmechanics

A quad mesh from two line meshes for a plate with a hole

Having fun with Makie.jl and Ferrite.jl in FerriteViz.jl. My colleague Dennis and me added support for gradient/flux visualization based on a known finite element field: github.com/Ferrite-FEM/Ferrite

We started FerriteViz for teaching purposes and this PR adds very nice possibilities to it. With this PR, instabilities in mixed forms or singularities in the fluxes can be visualized. 🎉

@julialang #julialang #Makie.jl #finiteelements #fea #numerics

temperature gradient based on a 1st, 2nd, 3rd, 4th, 5th temperature field Ansatz, converges to something which is C1
Raphaël Bullerbulle@mathstodon.xyz
2022-11-14

Hello there! #introduction

I am a postdoc at Université Laval in Québec working in collaboration with Michelin. My current work is about #ErrorEstimation for #FiniteElements methods. More precisely, I am working on gradient reconstruction for multimaterial problems.

I am also a #fenics user and I am interested in #NonLocalModels and more precisely in the error estimation in the finite element discretization of fractional partial differential equations.
#WelcometoMastodon
#WelcometoMathstodon

2019-01-18

Dieser Moment, wenn man beim TeXen denkt: "Boah, das wird eine ekelhafte Indexschlacht", dann ein bisschen nach Packages sucht und eins findet, das genau für diesen Fall entwickelt wurde 😍 ctan.org/pkg/sobolev
#FiniteElements #FEM #Numerik #LaTeX #Sobolev

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