A process for assembling discontinuous basis functions on structured hexahedral grids

This study presents a general process for assembling basis functions, which does not require any testing properties between the edge elements on adjacent grids. This results to flexible spatial discretizations, where h and p can be picked on a cell-by-cell basis. Finally, the interfacing process is demonstrated using two 2D examples, which includes joining Lobatto cell grids with equal DeltaL but distinct polynomial order and subgridding the Yee scheme with an arbitrary M:N ratio.