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[16295] Artykuł: Trefftz method in solving the inverse problemsCzasopismo: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS Tom: 18, Zeszyt: 6, Strony: 595-616ISSN: 0928-0219 Wydawca: WALTER DE GRUYTER & CO, GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY Opublikowano: Grudzień 2010 Autorzy / Redaktorzy / Twórcy
Grupa MNiSW: Materiały z konferencji międzynarodowej (zarejestrowane w Web of Science) Punkty MNiSW: 9 Klasyfikacja Web of Science: Article; Proceedings Paper DOI Web of Science Keywords: Linear ill-posed problems  non-stationary inverse problems  Trefftz method  |
In this article we present different types of Trefftz functions for stationary and non-stationary linear differential equations. The Trefftz methods are then defined and briefly described. One of them, namely the LSM applied to the region divided on finite elements, is discussed. Examples of the T-functions usage in solving inverse problems and smoothing inaccurate input data are presented. Moreover, some remarks concerning nonlinear non-stationary problem of heat conduction is briefly discussed and some open problems are formulated.