Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability
2016 (English)In: Foundations of Computational Mathematics, ISSN 1615-3375, E-ISSN 1615-3383, 1-30 p.Article in journal (Refereed) Epub ahead of print
Exact non-reflecting boundary conditions for a linear incompletely parabolic system in one dimension have been studied. The system is a model for the linearized compressible Navier-Stokes equations, but is less complicated which allows for a detailed analysis without approximations. It is shown that well-posedness is a fundamental property of the exact non-reflecting boundary conditions. By using summation by parts operators for the numerical approximation and a weak boundary implementation, it is also shown that energy stability follows automatically.
Place, publisher, year, edition, pages
Springer, 2016. 1-30 p.
Non-reflecting boundary conditions, Well-posedness, Summation by parts, Weak boundary implementation, Stability
IdentifiersURN: urn:nbn:se:liu:diva-127034DOI: 10.1007/s10208-016-9310-3OAI: oai:DiVA.org:liu-127034DiVA: diva2:919259