The code has been renamed, relicensed and ported to Python 3. Find the latests developments here. This Python 2 version is not updated anymore.
In this repository you find the working draft of a lightweight, fully-interpreted and yet well-performing finite element code written in SciPy/Python.
The code is (c) Tom Gustafsson and licensed under AGPLv3.
The main task of the library is to perform finite element assembly for various types of finite elements and meshes. Thus, the core functionality can be summarized in the following heuristic identity:
Mesh (spfem) + Bilinear form (function) + Element (spfem) = Sparse matrix (scipy)
This implies that the library is not suitable for developers who wish to have a fully blackbox PDE solver. A basic understanding of finite elements is required in order to successfully apply the resulting matrices.
The following code solves the Poisson equation in a unit square with zero boundary conditions and unit loading.
from spfem.mesh import MeshTri
from spfem.assembly import AssemblerElement
from spfem.element import ElementTriP1
from spfem.utils import direct
m = MeshTri()
m.refine(6)
a = AssemblerElement(m, ElementTriP1())
A = a.iasm(lambda du, dv: du[0]*dv[0] + du[1]*dv[1])
b = a.iasm(lambda v: 1.0*v)
x = direct(A, b, I=m.interior_nodes())
m.plot3(x)
m.show()The author and the code of sp.fem has strongly been influenced by the finite element knowledge shared by the following fellow scientists
Some parts of the vectorized code are more or less directly influenced by the efficient vectorized Matlab implementations written by these people. This library would either not exists or at least be ten times slower if not for them.
The documentation is built using Sphinx and can be found at Github Pages.