Finite difference schemes with transferable interfaces for parabolic problems

Sofia Eriksson, Jan Nordström

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We derive a method to locally change the order of accuracy of finite difference schemes that approximate the second derivative. The derivation is based on summation-by-parts operators, which are connected at interfaces using penalty terms. At such interfaces, the numerical solution has a double representation, with one representation in each domain. We merge this double representation into a single one, yielding a new scheme with unique solution values in all grid points. The resulting scheme is proven to be stable, accurate and dual consistent.

Original languageEnglish
Pages (from-to)935-949
Number of pages15
JournalJournal of Computational Physics
Publication statusPublished - 15 Dec 2018
Externally publishedYes


  • Dual consistency
  • Finite difference methods
  • High order accuracy
  • Interfaces
  • Summation-by-parts
  • Superconvergence

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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