Well-posedness, stability and conservation for a discontinuous interface problem
2016 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 56, no 2, 681-704 p.Article in journal (Refereed) Published
The advection equation is studied in a completely general two domain setting with different wave-speeds and a time-independent jump-condition at the interface separating the domains. Well-posedness and conservation criteria are derived for the initial-boundary-value problem. The equations are semi-discretized using a finite difference method on Summation-By-Part (SBP) form. The relation between the stability and conservation properties of the approximation are studied when the boundary and interface conditions are weakly imposed by the Simultaneous-Approximation-Term (SAT) procedure. Numerical simulations corroborate the theoretical findings.
Place, publisher, year, edition, pages
Springer, 2016. Vol. 56, no 2, 681-704 p.
Interface – Discontinuous coefficients problems – Initial boundary value problems – Well-posedness – Conservation – Stability – Interface conditions – High order accuracy – Summation-by-parts operators
IdentifiersURN: urn:nbn:se:liu:diva-121468DOI: 10.1007/s10543-015-0576-7ISI: 000376580200016OAI: oai:DiVA.org:liu-121468DiVA: diva2:855405