https://github.com/stepanzh/finiteelementmethod

My practice at Finite Element Method.
https://github.com/stepanzh/finiteelementmethod

finite-element-methods julia practice-project

Last synced: 9 months ago
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My practice at Finite Element Method.

• Host: GitHub
• URL: https://github.com/stepanzh/finiteelementmethod
• Owner: stepanzh
• Created: 2021-04-15T14:29:12.000Z (over 4 years ago)
• Default Branch: main
• Last Pushed: 2021-04-26T13:01:37.000Z (over 4 years ago)
• Last Synced: 2025-02-15T05:24:49.020Z (11 months ago)
• Topics: finite-element-methods, julia, practice-project
• Language: Julia
• Homepage:
• Size: 308 KB
• Stars: 1
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# FiniteElementMethod

My practice at Finite Element Method.

# Literature

1. *Mats G. Larson, Fredrik Bengzon.*

The Finite Element Method: Theory, Implementation, and Applications.

Springer, 2013.

ISBN 978-3-642-33286-9

2. *Chen, Z., Huan, G., & Ma, Y.*

Computational methods for multiphase flows in porous media.

Society for Industrial and Applied Mathematics, 2006.

ISBN 0-89871-606-3

# Polynomial Approximation

## L2-projection

### One-dimensional

- ![Script](PolynomialApproximation/l2_projection.jl).

- ![Plot of projection](PolynomialApproximation/plots/l2_projection.pdf).

- ![Plot of error](PolynomialApproximation/plots/l2_projection_error.pdf)

### Two-dimensional

- ![Script](PolynomialApproximation/l2_projection_2d.jl).

# Standard FEM

## Stationary elliptic with constant source (Poisson's equation)

- ![Script](StandartFEM/elliptic_stationary_zero_bc.jl).

- ![Plot](StandartFEM/plots/elliptic_stationary_zero_bc_uniform.pdf).

## General stationary parabolic problem

- ![Script](StandartFEM/parabolic_stationary.jl).

- ![Plot](StandartFEM/plots/parabolic_stationary.pdf).