liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Boundary Conditions for Hyperbolic Systems of Equations on Curved Domains
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
2014 (English)Report (Other academic)
Abstract [en]

Our focus in this paper is on the fundamental system of partial differential equation with boundary conditions (the continuous problem) that all types of numerical methods must respect. First, a constant coefficient hyperbolic system of equations which turns into a variable coefficient system of equations by transforming to a non-cartesian domain is considered. We discuss possible formulations of time-dependent boundary conditions leading to well-posed or strongly well-posed problems. Next, we re-use the previous theoretical derivations for the problem with boundary conditions applied at the wrong position and/or with an incorrect normal (a typical result with a less than perfect mesh generator). Possible error sources are discussed and a crude error estimate is derived.

Place, publisher, year, edition, pages
Linköping University Electronic Press, 2014. , 12 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2014:12
Keyword [en]
hyperbolic system, initial boundary value problems, erroneous computational domains, curved domains
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-110452ISRN: LiTH-MAT-R--2014/12--SEOAI: oai:DiVA.org:liu-110452DiVA: diva2:746203
Available from: 2014-09-12 Created: 2014-09-12 Last updated: 2014-09-12

Open Access in DiVA

Boundary Conditions for Hyperbolic Systems of Equations on Curved Domains(1365 kB)176 downloads
File information
File name FULLTEXT02.pdfFile size 1365 kBChecksum SHA-512
f668d2d07985ba65e785932af12e69026a7b221a0d37db9227a4f8530ed34cc5795dbb96f085f989c1463f210ded961f75fda4dea7fc73f5c0f3813a2749f7b0
Type fulltextMimetype application/pdf

Authority records BETA

Nordström, JanWahlsten, MarkusNikkar, Samira

Search in DiVA

By author/editor
Nordström, JanWahlsten, MarkusNikkar, Samira
By organisation
Computational MathematicsThe Institute of Technology
Computational Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 177 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

urn-nbn

Altmetric score

urn-nbn
Total: 251 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf