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• W2122441514 abstract "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." @default.
• W2122441514 created "2016-06-24" @default.
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• W2122441514 date "2015-08-01" @default.
• W2122441514 modified "2023-09-25" @default.
• W2122441514 title "Well-posedness, stability and conservation for a discontinuous interface problem" @default.
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• W2122441514 doi "https://doi.org/10.1007/s10543-015-0576-7" @default.
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