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[22605] Artykuł: Trefftz functions for non-stationary problemsCzasopismo: Journal of Theoretical and Applied Mechanics Tom: 51, Zeszyt: 2, Strony: 251-264ISSN: 1429-2955 Wydawca: POLISH SOC THEORETICAL & APPLIED MECHANICS, FWARSAW UNIV TECHNOLOGY, FACULTY CIVIL ENGINEERING, AL ARMII LUDOWEJ 15, RM 650, WARSZAWA, 00-637, POLAND Opublikowano: 2013 Liczba arkuszy wydawniczych: 0.80 Autorzy / Redaktorzy / Twórcy Grupa MNiSW: Publikacja w czasopismach wymienionych w wykazie ministra MNiSzW (część A) Punkty MNiSW: 15 Klasyfikacja Web of Science: Article Pełny tekst Web of Science Keywords: non-stationary inverse problems  Trefftz method  FEMT  |
Different types of Trefftz functions for non-stationary linear and weakly nonlinear differential equations are presented. The Trefftz methods are defined and briefly described. Certain results for non-stationary problems of heat conduction (among others boundary temperature identification and thermal diffusivity estimation), for beam vibration, for thermoelasticity and for the wave equation (direct and inverse problem of membrane vibrations) are shown. In many cases, the FEM with Trefftz functions (FEMT) as probe functions is applied. Three kinds of FEMT are tested for direct and inverse non-stationary problems. Examples of the making use of T-functions for solving inverse problems and smoothing inaccurate input data are discussed.