Skip to main content

No project description provided

Project description


A small hp-FEA program for the membrane Poisson equation

c(Δu) = -f 

using variable order triangle elements (orders 1-20) with heterogeneous p-refinement.


Use the package manager pip to install PlanarPy.

pip install planarpy


The Mesh object requires a list of point tuples, pts = [(x0,y0), (x1,y1), ...], a list triangle node tuples, cells = [(0,1,2), (2,5,6), ...], and a base power, pow = 2, to initialize.

Define groups using boolean functions. Always use both coordinates x,y for all function definitions. Groups are used to define Dirichlet boundary conditions and may also be used to set volume forces on part of the domain. If no group is chosen when setting a volume force, a default group is used.

from planarpy import Mesh, Dom

# it is up to the user to define points and cells
# either manually or by using a foreign library.
# here the domain is assumed to be [0, 10]x[0, 10]
mesh = Mesh(pts, cells, 6)

# define groups
left = mesh.def_group(lambda x, y: x == 0.)
right = mesh.def_group(lambda x, y: x == 10.)
left_half = mesh.def_group(lambda x, y: x <= 5.)

# p-refinement 
mesh.adapt_p(left_half, 10)

# domain setup
dom = Dom(mesh)

# define Dirichlet boundary
dom.set_boundary(left, right)
# get the amount of free and constrained degrees of freedom
pos_dofs, neg_dofs = dom.dofs()
# set material constant c
# set boundary condition, default is 0
dom.embed_bcond(lambda x, y: [0.], left)
dom.embed_bcond(lambda x, y: [x.sin()], right)
# set force in the domain
dom.set_force(lambda x, y: [x.sin()])

# solve


PlanarPy offers two functions in order to extract graphical data in the form of lines

sys = dom.plot_sys()
disp = dom.plot_disp()

The functions return three lists, x, y, z, for line coordinates.


Pull requests are welcome. For major changes, please open an issue first to discuss what you would like to change.

Please make sure to update tests as appropriate.


PlanarPy is licensed under GNU LGPLv3.

This software relies on the PyO3 library under the Apache-2.0 license for ffi and on the rayon crate under the MIT and Apache-2.0 licenses for parallelism.

Project details

Download files

Download the file for your platform. If you're not sure which to choose, learn more about installing packages.

Source Distributions

No source distribution files available for this release.See tutorial on generating distribution archives.

Built Distribution

planarpy-0.0.1-cp310-cp310-win_amd64.whl (544.9 kB view hashes)

Uploaded CPython 3.10 Windows x86-64

Supported by

AWS AWS Cloud computing and Security Sponsor Datadog Datadog Monitoring Fastly Fastly CDN Google Google Download Analytics Microsoft Microsoft PSF Sponsor Pingdom Pingdom Monitoring Sentry Sentry Error logging StatusPage StatusPage Status page