Well-Posedness, Stability and Conservation for a Discontinuous Interface Problem: An Initial Investigation
2015 (English)In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Springer, 2015, 147-155 p.Chapter in book (Refereed)
A robust interface treatment for the discontinuous coefficient advection equation satisfying time-independent jump conditions is presented. The aim of the investigation is to show how the different concepts like well-posedness, conservation and stability are related. The equations are discretized using high order finite difference methods on Summation By Parts (SBP) form. The interface conditions are weakly imposed using the Simultaneous Approximation Term (SAT) procedure. Spectral analysis and numerical simulations corroborate the theoretical findings.
Place, publisher, year, edition, pages
Springer, 2015. 147-155 p.
, Lecture Notes in Computational Science and Engineering, 106
IdentifiersURN: urn:nbn:se:liu:diva-123114DOI: 10.1007/978-3-319-19800-2_11ISI: 000368440400011ISBN: 978-3-319-19799-9ISBN: 978-3-319-19800-2OAI: oai:DiVA.org:liu-123114DiVA: diva2:876593