The unconditional instability of inflow-dependent boundary conditions in difference approximations to hyperbolic systems
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- by Eitan Tadmor PDF
- Math. Comp. 41 (1983), 309-319 Request permission
Abstract:
It is well known that for a mixed initial-boundary hyberbolic system to be well-defined it is necessary to impose additional boundary conditions only on the inflow eigenspace of the problem. We prove the discrete analogue of the above concerning difference approximations to such a system; that is, imposing numerical boundary conditions which are at least zeroth-order accurate with an inflow part of the interior equations leads to unconditional instability.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Math. Comp. 41 (1983), 309-319
- MSC: Primary 65M10
- DOI: https://doi.org/10.1090/S0025-5718-1983-0717688-6
- MathSciNet review: 717688