Imposing a discontinuity in the solution, on an internal interface

dokken · January 9, 2023, 4:21pm

If you switch to DG, you need to use a DG variational formulation, see
https://bitbucket.org/fenics-project/dolfin/src/master/python/demo/undocumented/dg-poisson/demo_dg-poisson.py
or a slightly outdated version for DOLFINx that describes some of the math

github.com

jorgensd/dolfinx-tutorial/blob/dokken/dg_tutorial/chapter1/dg.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "sorted-rugby",
   "metadata": {},
   "source": [
    "# Solving the Poisson problem using the Discontinuous Galerkin method\n",
    "Author: Jørgen S. Dokken\n",
    "\n",
    "In this section, we will go through how to solve the Poisson problem from the [Fundamentals](fundamentals.ipynb) tutorial using Discontinuous Galerkin (DG) method.\n",
    "As opposed to using Continuous Lagrangian finite elements, we will now use finite elements that only span the element they are defined on. \n",
    "\n",
    "We start by importing the required modules and creating the mesh and function space for our solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "imposed-christopher",

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Imposing a discontinuity in the solution, on an internal interface

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