fem

FEM 1D example with Python

https://github.com/zolabar/fem

Science Score: 54.0%

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    Low similarity (6.4%) to scientific vocabulary

Keywords

displacement fem fvm jupyter-notebook numerics numpy python strain
Last synced: 6 months ago · JSON representation ·

Repository

FEM 1D example with Python

Basic Info
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Topics
displacement fem fvm jupyter-notebook numerics numpy python strain
Created over 4 years ago · Last pushed over 3 years ago
Metadata Files
Readme License Citation

README.md

Binder

FEM: Finite Element Method

not only for solid mechanics :)

FEM 1D example with Python created by Zoufiné Lauer-Baré

GitHub LinkedIn Google Scholar

5 Node example for 1D PDE with constant right hand side and prescribed Dirichlet boundary conditions. Example could be a rod displacement or plane gap flow.

Meshing: Nodes and Elements

meshing

Assemble system: Shape Functions

shape functions

Solution: Numerical FEM approximation exact at the nodes!

solution

Usage

Click on the binder button Binder for using the Python Code in Cloud

or install Python, Jupyter etc... and download or clone this repository.

FEM vs. FVM: Find the difference!

fem vs fvm

-> FEM exact on nodes and FVM exact at gradients between nodes

Visualization of analytical plate deformation in 3D!

fem vs fvm

Owner

  • Name: Zoufiné Lauer-Baré
  • Login: zolabar
  • Kind: user

Citation (citation.cff)

cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
  - family-names: Lauer-Bare
    given-names: Zoufine
    orcid: https://orcid.org/0000-0002-7083-6909
title: FEM

date-released: 2022-11-08
url: https://github.com/zolabar/FEM

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Dependencies

requirements.txt pypi
  • jupyter *
  • matplotlib *
  • numpy *
  • plotly *
  • scipy *
  • seaborn *
  • sympy *