Credits & Dependencies

The ggp framework relies on a number of high-quality open-source packages. We gratefully acknowledge their developers and communities.

Core Scientific Libraries

Package	License	Role
FEniCS (dolfin)	LGPL-3.0	Finite Element framework providing mesh generation, function spaces, variational forms (UFL), and PDE solvers. Used for all geometry projections and the linear elasticity solver.
dolfin-adjoint	LGPL-3.0	High-level automated differentiation framework for FEniCS. Originally used for shape derivatives, listed for legacy environment compatibility.
PETSc (petsc4py)	BSD-2-Clause	High-performance sparse linear algebra backend. Used for fast global stiffness matrix assembly in CSR format.
GEMSEO	LGPL-3.0	Multidisciplinary Design Analysis and Optimization (MDAO) framework. Provides the discipline abstraction, design space management, and scenario orchestration.
gemseo-mma	LGPL-3.0	GEMSEO plugin providing the Method of Moving Asymptotes (MMA) optimizer used for all topology optimization runs.
NumPy	BSD-3-Clause	Fundamental array computing library. Used for vectorized geometry mapping, analytic Jacobians, and all numerical computations.
SciPy	BSD-3-Clause	Sparse matrix utilities (CSR format) used for stiffness assembly and linear system solving.
AMJax (Boussange, V.)	MIT	JAX library bringing algebraic multigrid (AMG) methods to sparse FEM solves. The amjax FEM solver backend (ggp.physics.amjax_solver) implements its AMG-preconditioned CG approach using PyAMG smoothed-aggregation hierarchies and SciPy CG.

Meshing

Package	License	Role
mshr	LGPL-3.0	FEniCS mesh generation component. Used for creating structured and unstructured meshes from CSG geometries.

Development & Documentation

Package	License	Role
pytest	MIT	Testing framework used for the unit and regression test suite.
pytest-cov	MIT	Code coverage plugin for pytest, used in CI to generate coverage reports.
Sphinx	BSD-2-Clause	Documentation generator used to build this documentation site.
sphinx-book-theme	BSD-3-Clause	Modern Sphinx theme providing the documentation layout.
nbsphinx	MIT	Sphinx extension for rendering Jupyter notebooks as documentation pages.
JupyterLab	BSD-3-Clause	Interactive notebook environment used for example tutorials.
Matplotlib	PSF-based	2D plotting library used for density and component visualization in examples and post-processing.
NLopt	MIT	Nonlinear optimization library, available as an alternative optimizer backend.

Academic References

This implementation is based on the following publications:

1. GGP Framework: Coniglio, S., Morlier, J., Gogu, C. et al. Generalized Geometry Projection: A Unified Approach for Geometric Feature Based Topology Optimization. Arch Computat Methods Eng 27, 1573–1610 (2020). DOI:10.1007/s11831-019-09362-8

2. ALM Extension: Bhat, K.V., Capasso, G., Coniglio, S., Morlier, J., Gogu, C. On some applications of Generalized Geometric Projection to optimal 3D printing. Computers & Graphics (2021).

3. Original MATLAB Code: GGP-Matlab repository.