Local Derivative Post-processing: Challenges for a non-uniform mesh

Previous investigations into accuracy enhancement for the derivatives of a discontinuous Galerkin solution demonstrated that there are many ways to approach obtaining higher order accuracy in the derivatives, each with different advantageous properties [J.K. Ryan and B. Cockburn (2009), “Local Derivative Post-Processing for the Discontinuous...

Local derivative post-processing: Challenges for a non-uniform mesh

Previous investigations into accuracy enhancement for the derivatives of a discontinuous Galerkin solution demonstrated that there are many ways to approach obtaining higher order accuracy in the derivatives, each with different advantageous properties. For the discontinuous Galerkin method, the order of accuracy without post-processing for the...