HDPG1D

Table of Contents

• 1. HDPG1D
• 2. Install
• 3. Usage

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 terminal:

pip install hdpg1d

Usage

In terminal, call:

PGsolve