Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967635 | Journal of Computational Physics | 2017 | 11 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Hannes Frenander, Jan Nordström,