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[15275] Artykuł: Different finite element approaches for inverse heat conduction problemsCzasopismo: Inverse Problems in Science and Engineering Tom: 18, Zeszyt: 1, Strony: 3-17ISSN: 1741-5977 Wydawca: TAYLOR & FRANCIS LTD, 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND Opublikowano: 2010 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 20 Klasyfikacja Web of Science: Article; Proceedings Paper DOI Web of Science Keywords: transient heat conduction  inverse problem  Trefftz functions  FEM  energetic minimization  |
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.