Article ID Journal Published Year Pages File Type
4967635 Journal of Computational Physics 2017 11 Pages PDF
Abstract
In this paper we provide a new approach for constructing non-reflecting boundary conditions. The boundary conditions are based on summation-by-parts operators and derived without Laplace transformation in time. We prove that the new non-reflecting boundary conditions yield a well-posed problem and that the corresponding numerical approximation is unconditionally stable. The analysis is demonstrated on a hyperbolic system in two space dimensions, and the theoretical results are confirmed by numerical experiments.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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