Constructing non-reflecting boundary conditions using summation-by-parts in time
2016 (English)Report (Other academic)
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.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2016. , 19 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2016:14
Non-reflecting boundary conditions, summation-by-parts, simultaneous approximations terms, finite differences, stability, accuracy
IdentifiersURN: urn:nbn:se:liu:diva-130922ISRN: LiTH-MAT-R--2016/14--SEOAI: oai:DiVA.org:liu-130922DiVA: diva2:956726