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[15275] Artykuł:

Different finite element approaches for inverse heat conduction problems

Czasopismo: Inverse Problems in Science and Engineering   Tom: 18, Zeszyt: 1, Strony: 3-17
ISSN:  1741-5977
Wydawca:  TAYLOR & FRANCIS LTD, 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
Opublikowano: 2010
 
  Autorzy / Redaktorzy / Twórcy
Imię i nazwisko Wydział Katedra Procent
udziału
Liczba
punktów
Krzysztof Grysa orcid logoWZiMKKatedra Matematyki *****5020.00  
Renata Leśniewska50.00  

Grupa MNiSW:  Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A)
Punkty MNiSW: 20
Klasyfikacja Web of Science: Article; Proceedings Paper


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Keywords:

transient heat conduction  inverse problem  Trefftz functions  FEM  energetic minimization 



Abstract:

In this study, three different versions of the finite element method (FEM) based on Trefftz functions are presented for solving transient two-dimensional inverse heat conduction problems. The following cases are considered: (a) FEM with the condition of continuity of temperature in the common nodes of elements, (b) no temperature continuity at any point between elements and (c) nodeless FEM. Instead, in each finite element the temperature is approximated by a linear combination of Trefftz functions. These investigations are carried out using temperature data obtained from numerical simulations, exact and disturbed. For the inaccurate data some efficient method of smoothing is presented.