Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

We develop an acceleration method for material-dominated calculations based on phase-space simplicial interpolation of the relevant material-response functions. This process of interpolation constitutes an approximation scheme by which an exact material-response function is replaced by a sequence of approximating response functions. The terms in the sequence are increasingly accurate, thus ensuring the convergence of the overall solution. The acceleration ratio depends on the dimensionality, the complexity of the deformation, the time-step size, and the fineness of the phase-space interpolation. We ascertain these trade-offs analytically and by recourse to selected numerical tests. The numerical examples with piecewise-quadratic interpolation in phase space confirm the analytical estimates.

OriginalspracheEnglisch
ZeitschriftInternational Journal for Numerical Methods in Engineering
Jahrgang103
Ausgabenummer4
Seiten (von - bis)256-274
Anzahl der Seiten19
ISSN0029-5981
DOIs
PublikationsstatusErschienen - 27.07.2015
Extern publiziertJa

DOI

Zuletzt angesehen

Forschende

  1. Annelie Sieveking

Publikationen

  1. Mythos
  2. Operations Systems of Container Terminals
  3. Wavlet analysis for rotor fault diagnosis with rub-impact of rotor systems
  4. State-wide university implementation of an online platform for eating disorders screening and intervention.
  5. Mitarbeitergespräch
  6. Hot forging behavior of Mg−8Al−4Ba−4Ca (ABaX844) alloy and validation of processing map
  7. A New, Rapid, Fully Automated Method for Determination of Fluconazole in Serum by Column-Switching Liquid Chromatography
  8. "Oxford preparation Course for the TOEIC Test"
  9. Mechanical and corrosion properties of as-cast and extruded MG10GD alloy for biomedical application
  10. Multitrait-multimethod-analysis
  11. Legal aspects of satellite-based earth observation
  12. Altruism and the Indispensability of Motives
  13. "Filling up"
  14. Neue Ansätze zur dynamischen Mimikerkennung II
  15. Contagious Agents
  16. Foreign language learning in multilingual Germany
  17. Intersubjectivity and alterity in the works of Kant
  18. Partizipatives Regieren in der EU
  19. Segregation versus Inklusion/Exklusion
  20. EU-Prüferreform „light“?!
  21. Kita im Wandel
  22. § 44 VwGO (objektive Klagehäufung)
  23. Nachhaltigkeit interdisziplinär studieren
  24. § 175
  25. Hier werden Parallelwelten im Unterricht sichtbar – Multiperspektivische Unterrichtsvideos in der universitären LehrerInnenausbildung
  26. Praxisorientierte Weiterbildung zu nachhaltiger Regionalentwicklung
  27. Exploring the Corporate Reality of Sustainability Accounting Practice
  28. Social perceptions of Colombian small-scale marine fisheries conflicts
  29. "Strukturen aufbrechen"
  30. Prüfung von Corporate Governance Statements post BilMoG
  31. Bundesverfassungsgericht und Zukunft der EU
  32. Betriebliche Weiterbildung und der Verbleib Älterer im Betrieb
  33. Ecological risks associated with the destruction of chemical weapons
  34. Primitivism and humanist teleology in art history around 1900
  35. § 286 bis § 292 BGB Verzug des Schuldners