From 4c38bfe440f7b42208043e8ff5fa596d060866d8 Mon Sep 17 00:00:00 2001 From: seanbsu <122116208+seanbsu@users.noreply.github.com> Date: Sat, 20 Apr 2024 13:30:51 -0600 Subject: [PATCH] Closes #96 (#101) --- docs/_config.yml | 2 ++ docs/img.png | Bin 0 -> 31477 bytes docs/img_1.png | Bin 0 -> 25648 bytes docs/img_2.png | Bin 0 -> 151608 bytes docs/index.md | 42 ++++++++++++++++++++++++++++++++++++++++- src/pymgm_test/Demo.py | 10 +++++++++- 6 files changed, 52 insertions(+), 2 deletions(-) create mode 100644 docs/_config.yml create mode 100644 docs/img.png create mode 100644 docs/img_1.png create mode 100644 docs/img_2.png diff --git a/docs/_config.yml b/docs/_config.yml new file mode 100644 index 0000000..942fd33 --- /dev/null +++ b/docs/_config.yml @@ -0,0 +1,2 @@ +theme: jekyll-theme-cayman +title: "s24-meshers" diff --git a/docs/img.png b/docs/img.png new file mode 100644 index 0000000000000000000000000000000000000000..ac722ef1cf293bb7792e477d1a8fa9a2d558d8a2 GIT binary patch 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+The goal of this Python implementation of the MGM algorithm was to create a Python package that operates similar to the original +MATLAB implementation. While a 1:1 translation was not possible due to the differences in the languages, the Python implementation +of the MGM algorithm is designed to be similar enough to the MATLAB implementation that users familiar with the MATLAB version +will be able to use the Python version with minimal effort. + +## Meshers Team Members +- Sean Calkins +- Tanner Frost +- Paul Vanderveen + +## Project Description +The goal of this project was to translate the MATLAB implementation of the MGM algorithm to Python. Using data and results from the MATLAB +implementation, we were able to create a Python package that operates in a similar manner. We wanted to make the package pip installable +so the project structure is set up to be added to the Python Package Index (PyPI). Dr Wright will set up and publish the package to PyPI so +that it can be easily installed by users, so they can import the package and use the MGM algorithm in their own projects. +

+The bulk of the algorithm is contained within the abstract mgm class and the mgm2D classes. These classes contain the functions for setting up the +data structures used within the algorithm, and the functions for running the algorithm. Within the first step of the algorithm, the data goes through +a pre-processing phase where the data is coarsened from their fine point cloud structures to multiple levels of gradually coarser point clouds. +Using a C++ library that is bound to Python using the pybind package. The algorithm then goes through a series of iterations where the data is +interpolated and restricted between levels of the point clouds. The algorithm then solves the linear system of equations at each level of the point cloud. +

+There is a function to visualize the different levels of coarseness called plot() that plots the values at each level to create a graphical representation +of the data. In the projects README file code is provided to plot the solution of the MGM algorithm. Plots of the levels of data look like: +![img.png](img.png) +![img_1.png](img_1.png) +

+The solution is depicted as a scatter plot with an example of a solution using a square poisson distribution looking like: +
+![img_2.png](img_2.png) \ No newline at end of file diff --git a/src/pymgm_test/Demo.py b/src/pymgm_test/Demo.py index ea130c0..6bffc31 100644 --- a/src/pymgm_test/Demo.py +++ b/src/pymgm_test/Demo.py @@ -1,5 +1,6 @@ from src.pymgm_test.mgm2d.mgm2d import mgm2D from src.pymgm_test.utils.sqrpoisson import squarepoissond +import matplotlib.pyplot as plt import numpy as np # Create the square poisson problem Lh, x, vol, fh, uexact = squarepoissond(50) @@ -9,9 +10,16 @@ # Plot the coarse levels mgm.plot(mgm.obj) - # Run the MGM solver uh,flag,relres,iters,resvec = mgm.solve(mgm.obj,fh,1e-10,'none',100) +# Scatter plot of the solution +plt.figure() +plt.scatter(x[:, 0], x[:, 1], c=uh, cmap='viridis', s=20) +plt.colorbar(label='Solution') +plt.title('Scatter plot of the solution') +plt.xlabel('x') +plt.ylabel('y') +plt.show() # np.set_printoptions(threshold=np.inf) print("solution: ",uh) print("\n")