Change search
ReferencesLink to record
Permanent link

Direct link
Constructing non-reflecting boundary conditions using summation-by-parts in time
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2016 (English)Report (Other academic)
Abstract [en]

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.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2016:14
Keyword [en]
Non-reflecting boundary conditions, summation-by-parts, simultaneous approximations terms, finite differences, stability, accuracy
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-130922ISRN: LiTH-MAT-R--2016/14--SEOAI: oai:DiVA.org:liu-130922DiVA: diva2:956726
Available from: 2016-08-31 Created: 2016-08-31 Last updated: 2016-08-31Bibliographically approved

Open Access in DiVA

Constructing non-reflecting boundary conditions using summation-by-parts in time(547 kB)10 downloads
File information
File name FULLTEXT01.pdfFile size 547 kBChecksum SHA-512
680ba83aa32bf15e29909e8ebb54b97bd65ca8c95210ee5f8b68d74f0938dcc63d78626f8aeab61f038ea8a292a715e753f3a45bc5a949cb9b88fd84c6717b13
Type fulltextMimetype application/pdf

Search in DiVA

By author/editor
Frenander, HannesNordström, Jan
By organisation
Computational MathematicsFaculty of Science & Engineering
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 10 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 23 hits
ReferencesLink to record
Permanent link

Direct link