Weighting Function Selection Problem in the Galerkin Method

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Tutkijat

Organisaatiot

  • Tampere University of Technology
  • Finnish Institute of Occupational Health

Kuvaus

When a problem contains more than one unknown function and a corresponding number of differential equations, the contents of the Galerkin method are not necessarily completely clear. This theme is discussed in the paper by considering four example cases: one-dimensional heat conduction, the bending of an Euler-Bernoulli beam, a regenerator problem and an axially moving string problem. A strategy for selection of the proper weighting function is proposed. Some numerical results are presented. Suggestions regarding how a basic finite element course for engineering students might proceed in its initial stages are given.

Yksityiskohdat

AlkuperäiskieliEnglanti
Sivut115-135
Sivumäärä21
JulkaisuInternational Journal of Mechanical Engineering Education
Vuosikerta41
Numero2
TilaJulkaistu - 1 huhtikuuta 2013
OKM-julkaisutyyppiA1 Julkaistu artikkeli, soviteltu

ID: 17693468