Convergence of energy stable finite-difference schemes with interfaces

Magnus Svärd, Jan Nordström

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We extend the convergence results in Svärd and Nordström (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.

Original languageEnglish
Article number110020
JournalJournal of Computational Physics
Publication statusPublished - 15 Mar 2021


  • Convergence rate
  • Finite difference
  • Interface
  • Stability
  • Well-posedness

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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