  In this article we consider the extension of the (L)SIAC-MRA enhancement
procedure to nonuniform meshes. We demonstrate that error reduction can be
obtained on perturbed quadrilateral and Delaunay meshes, and investigate the
effect of limited resolution and its impact on the procedure for various
function types. We show that utilizing mesh-based localized kernel scalings,
which were shown to reduce approximation errors for LSIAC filters, improve the
performance of the LSIAC-MRA enhancement procedure. Lastly, we demonstrate the
usefulness of enhanced approximations generated by (L)SIAC-MRA in mesh
adaptivity applications, and show that SIAC reconstruction can be used in
identification of regions of high error in steady-state DG approximations.
