README.md 1.2 KB
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HDPG1D
This is a python package that solves 1-Dimensional PDEs using hybridizable discontinuous Petrov-Galerkin discretization, a novel FEA discretization that ensures the best solution quality without extra stablization mechanism. The following image shows the solution of 1D inviscid Burger's equation using HDPG discretization. Notice that the oscillations near the shock are well controlled even without any artificial stablization mechanism.
\frac{\partial u}{\partial t} + \frac{1}{2} \frac{\partial u^2}{\partial x} = 0, \quad \text{in } \Omega \in [0,1].
Install
In the souce directory:
python setup.py sdist
cd dist/
pip install hdpg1d
Usage
In terminal, call:
PGsolve