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nodal-dg-extension

A simple extension for the discontinuous Galerkin code nodal-dg by Jan S. Hesthaven and Tim Warburton.

Description

This library includes extensions to the original nodal-dg code. So far, these extensions include:

  • High-order continuous Galerkin (CG/FEM) method on triangular meshes using the nodal-dg datastructures
  • DG method for the high-contrast Poisson problem
  • IPDG method for linear elasticity in 2D
  • Routines for generating a nested dissection for the structured elimination of the resulting matrices
  • Plotting routines designed to visualize the results
  • Test routines designed to check behaviour under h- and p-refinement

Setup

The code needs the original nodal-dg code which can be found here: nodal-dg To run the codes, simply include both the original nodal-dg folder and the nodal-dg-extension folder in the Matlab path.

References

Hesthaven, J. S., & Warburton, T. (2008). Nodal Discontinuous Galerkin Methods. https://doi.org/10.1007/978-0-387-72067-8