# Pyde FEM
**pyde_fem** is a Python package designed for efficient mesh manipulation and analysis, tailored for
Finite Element Method (FEM) applications and solving Partial Differential Equations (PDEs) using the
Galerkin method. With `pyde_fem`, you can easily create, modify, visualize, and analyze meshes,
making it a powerful tool for numerical simulations.
## Features
- **Mesh Creation:** Generate rectangular meshes with customizable subdivisions and dimensions.
- **Mesh Manipulation:** Refine meshes by adding midpoints to edges, and extract boundary
information.
- **Mesh Analysis:** Calculate mass and stiffness matrices for FEM, and identify connected
components.
- **Visualization:** Plot meshes with optional visualizations of connected components, boundary
segments, and boundary normals.
## Installation
You can install `pyde_fem` using from PyPI pip:
```shell
pip install pyde-fem
```
## Quick Start
Here’s a quick example to get you started:
```python
import pyde_fem as pf
# Load a mesh from a file
vertices, indices = pf.mesh.load("mesh.msh")
# Plot the mesh
pf.mesh.plot(vertices, indices)
```
## Examples Usage
```python
import pyde_fem as pf
import matplotlib.pyplot as plt
# 1. Generating a Mesh:
vertices, indices = pf.mesh.generate(10, 10, 1.0, 1.0)
pf.mesh.plot(vertices, indices)
plt.show()
# 2. Generating a Mesh:
refined_vertices, refined_indices = pf.mesh.refine(vertices, indices)
pf.mesh.plot(vertices, indices)
plt.show()
# 3. Calculating Mass and Stiffness Matrices:
mass_matrix = pf.mass(vertices, indices)
stiffness_matrix = pf.stiffness(vertices, indices)
# 4. Plotting the Mesh with Boundary Information:
boundary_faces, boundary_indices = pf.mesh.boundary(indices)
boundary_normals = pf.mesh.boundary_normals(vertices, boundary_indices)
pf.mesh.plot(
vertices,
indices,
boundary_indices=boundary_indices,
boundary_normals=boundary_normals
)
plt.show()
```
## License
`pyde_fem` is licensed under the Apache Software License. See the [LICENSE](LICENSE) file for more details.
## Contact
For any inquiries, please contact me at `timeusryan@gmail.com`.
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"description": "# Pyde FEM\n\n**pyde_fem** is a Python package designed for efficient mesh manipulation and analysis, tailored for\nFinite Element Method (FEM) applications and solving Partial Differential Equations (PDEs) using the\nGalerkin method. With `pyde_fem`, you can easily create, modify, visualize, and analyze meshes,\nmaking it a powerful tool for numerical simulations.\n\n## Features\n\n- **Mesh Creation:** Generate rectangular meshes with customizable subdivisions and dimensions.\n- **Mesh Manipulation:** Refine meshes by adding midpoints to edges, and extract boundary\n information.\n- **Mesh Analysis:** Calculate mass and stiffness matrices for FEM, and identify connected\n components.\n- **Visualization:** Plot meshes with optional visualizations of connected components, boundary\n segments, and boundary normals.\n\n## Installation\n\nYou can install `pyde_fem` using from PyPI pip:\n\n```shell\npip install pyde-fem\n```\n\n## Quick Start\n\nHere\u2019s a quick example to get you started:\n\n```python\nimport pyde_fem as pf\n\n# Load a mesh from a file\nvertices, indices = pf.mesh.load(\"mesh.msh\")\n\n# Plot the mesh\npf.mesh.plot(vertices, indices)\n```\n\n## Examples Usage\n\n```python\nimport pyde_fem as pf\nimport matplotlib.pyplot as plt\n\n# 1. Generating a Mesh:\nvertices, indices = pf.mesh.generate(10, 10, 1.0, 1.0)\npf.mesh.plot(vertices, indices)\nplt.show()\n\n# 2. Generating a Mesh:\nrefined_vertices, refined_indices = pf.mesh.refine(vertices, indices)\npf.mesh.plot(vertices, indices)\nplt.show()\n\n# 3. Calculating Mass and Stiffness Matrices:\nmass_matrix = pf.mass(vertices, indices)\nstiffness_matrix = pf.stiffness(vertices, indices)\n\n\n# 4. Plotting the Mesh with Boundary Information:\nboundary_faces, boundary_indices = pf.mesh.boundary(indices)\nboundary_normals = pf.mesh.boundary_normals(vertices, boundary_indices)\n\npf.mesh.plot(\n vertices,\n indices,\n boundary_indices=boundary_indices,\n boundary_normals=boundary_normals\n)\nplt.show()\n```\n\n## License\n\n`pyde_fem` is licensed under the Apache Software License. See the [LICENSE](LICENSE) file for more details.\n\n## Contact\n\nFor any inquiries, please contact me at `timeusryan@gmail.com`.\n",
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