A FEniCS based python module of the Proper Generalized Decomposition (PGD) method.

• The progressive PGD solver is implemented following publication such as

"Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models." Chinesta, F., Ammar, A. and Cueto, E. Archive of Computational Methods in Engineering 17/4 (2010): 327-350.

"A Proper Generalized Decomposition for the solution of elliptic problems in abstract form by using a functional Eckart–Young approach" Falco, A. and Nouy, A. Journal of Mathematical Analysis and Applications 376/2 (2011): 469-480.

"A nonintrusive proper generalized decomposition scheme with application in biomechanics" Zou, X., Conti, M., Díez,P. and Auricchio, F. International Journal of Numerical Methods in Engineering 113/2 (2017): 230-251.

"On the Existence of a Progressive Variational Vademecum based on the Proper Generalized Decomposition for a Class of Elliptic Parameterized Problems" Falcó A., Montés, N., Chinesta, F., Hilario, L. and Mora, M.C. Journal of Computational and Applied Mathematics 330 (2018): 1093-1107.

• A working installation of FEniCS (including DOLFIN python interface).
• e.g. via conda s. below

• create conda environment with requirements from file
  • globally in user miniconda folder

    cd PGDrome
    conda env create -f environment.yml
    conda activate pgdrome
    

  • within main project folder

    cd PGDrome
    conda env create --prefix ./conda-env -f environment.yml
    (conda env update --prefix ./conda-env -f environment.yml --prune)
    conda activate ./conda-env
    

• Using setup.py

git clone https://github.com/BAMresearch/PGDrome.git
cd PGDrome
python3 -m pip install -e .

-e flag creates a symlink instead of copying it. So modifying does not require another installation.

uninstall with python3 -m pip uninstall PGDrome

test with pytest or standalone

pytest tests

• fenicstools (required for special sensor evaluations install only if required!!!)

git clone https://github.com/mikaem/fenicstools.git
cd fenicstools
python3 setup.py install
python3 -m pip install cppimport