Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability

Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Foundations of Computational Mathematics Springer Journals

Exact Non-reflecting Boundary Conditions Revisited: Well-Posedness and Stability

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Springer US
Copyright © 2016 by SFoCM
Mathematics; Numerical Analysis; Economics, general; Applications of Mathematics; Linear and Multilinear Algebras, Matrix Theory; Math Applications in Computer Science; Computer Science, general
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