Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Localized orthogonal decomposition method for the wave equation with a continuum of scales
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Numerisk analys, NA.ORCID-id: 0000-0002-6432-5504
2017 (Engelska)Ingår i: Mathematics of Computation, ISSN 0025-5718, E-ISSN 1088-6842, Vol. 86, nr 304, s. 549-587Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

This paper is devoted to numerical approximations for the wave equation with a multiscale character. Our approach is formulated in the framework of the Localized Orthogonal Decomposition (LOD) interpreted as a numerical homogenization with an L2-projection. We derive explicit convergence rates of the method in the L∞(L2)-, W1,∞(L2)-and L∞(H1)-norms without any assumptions on higher order space regularity or scale-separation. The order of the convergence rates depends on further graded assumptions on the initial data. We also prove the convergence of the method in the framework of G-convergence without any structural assumptions on the initial data, i.e. without assuming that it is well-prepared. This rigorously justifies the method. Finally, the performance of the method is demonstrated in numerical experiments.

Ort, förlag, år, upplaga, sidor
American Mathematical Society (AMS), 2017. Vol. 86, nr 304, s. 549-587
Nyckelord [en]
Finite element, LOD, Multiscale method, Numerical homogenization, Wave equation
Nationell ämneskategori
Matematik
Identifikatorer
URN: urn:nbn:se:kth:diva-201763DOI: 10.1090/mcom/3114ISI: 000391546700003Scopus ID: 2-s2.0-85008488032OAI: oai:DiVA.org:kth-201763DiVA, id: diva2:1075789
Anmärkning

QC 20170221

Tillgänglig från: 2017-02-21 Skapad: 2017-02-21 Senast uppdaterad: 2017-06-15Bibliografiskt granskad

Open Access i DiVA

Fulltext saknas i DiVA

Övriga länkar

Förlagets fulltextScopus

Sök vidare i DiVA

Av författaren/redaktören
Henning, Patrick
Av organisationen
Numerisk analys, NA
I samma tidskrift
Mathematics of Computation
Matematik

Sök vidare utanför DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetricpoäng

doi
urn-nbn
Totalt: 577 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf