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
An adaptive strategy for the bivariate solution of finite element problems using multivariate nested Pade approximants
Creo Dynam AB, Sweden.ORCID-id: 0000-0002-6555-531X
KTH, Skolan för teknikvetenskap (SCI), Farkost och flyg, MWL Marcus Wallenberg Laboratoriet.ORCID-id: 0000-0003-1855-5437
Trinity College, Department of Mechanical and Manufacturing Engineering, Ireland.
2014 (Engelska)Ingår i: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 100, nr 9, s. 689-710Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

Most engineering applications involving solutions by numerical methods are dependent on several parameters, whose impact on the solution may significantly vary from one to the other. At times an evaluation of these multivariate solutions may be required at the expense of a prohibitively high computational cost. In the present paper, an adaptive approach is proposed as a way to estimate the solution of such multivariate finite element problems. It is based upon the integration of so-called nested Pade approximants within the finite element procedure. This procedure includes an effective control of the approximation error, which enables adaptive refinements of the converged intervals upon reconstruction of the solution. The main advantages lie in a potential reduction of the computational effort and the fact that the level of a priori knowledge required about the solution in order to have an accurate, efficient, and well-sampled estimate of the solution is low. The approach is introduced for bivariate problems, for which it is validated on elasto-poro-acoustic problems of both academic and more industrial scale. It is argued that the methodology in general holds for more than two variables, and a discussion is opened about the truncation refinements required in order to generalize the results accordingly.

Ort, förlag, år, upplaga, sidor
2014. Vol. 100, nr 9, s. 689-710
Nyckelord [en]
multivariate Pade approximants, reduced-order model, solution expansion, finite element method
Nationell ämneskategori
Matematik Annan teknik
Identifikatorer
URN: urn:nbn:se:kth:diva-157027DOI: 10.1002/nme.4777ISI: 000344005000003Scopus ID: 2-s2.0-84920069236OAI: oai:DiVA.org:kth-157027DiVA, id: diva2:768833
Anmärkning

QC 20141205

QC 20160921

Tillgänglig från: 2014-12-05 Skapad: 2014-12-04 Senast uppdaterad: 2017-12-05Bibliografiskt granskad

Open Access i DiVA

Fulltext saknas i DiVA

Övriga länkar

Förlagets fulltextScopus

Personposter BETA

Rumpler, RomainGöransson, Peter

Sök vidare i DiVA

Av författaren/redaktören
Rumpler, RomainGöransson, Peter
Av organisationen
MWL Marcus Wallenberg Laboratoriet
I samma tidskrift
International Journal for Numerical Methods in Engineering
MatematikAnnan teknik

Sök vidare utanför DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetricpoäng

doi
urn-nbn
Totalt: 71 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