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Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability
Department of Mathematics, Technische Universität Darmstadt, 64293 Darmstadt, Germany.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
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
Abstract [en]

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.
Keyword [en]
Non-reflecting boundary conditions, Well-posedness, Summation by parts, Weak boundary implementation, Stability
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-127034DOI: 10.1007/s10208-016-9310-3OAI: diva2:919259
Available from: 2016-04-13 Created: 2016-04-13 Last updated: 2016-04-27Bibliographically approved

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