Convergence of energy stable finite-difference schemes with interfaces

We extend the convergence results in Svard and Nordstrom (2019) [7] for single-domain energy-stable high-order finite difference schemes, to include domains split into several grid blocks. The analysis also demonstrates that reflective boundary conditions enjoy the same convergence properties. Finally, we briefly indicate that these results (and the previous ones in [7]) also hold in multiple dimensions. (C) 2020 The Author(s). Published by Elsevier Inc.

Automated summary

This study extends the convergence results of single-domain energy-stable high-order finite difference schemes to domains split into several grid blocks, showing that reflective boundary conditions have the same convergence properties. The findings also hold in multiple dimensions, as indicated briefly.