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[24265] Artykuł:

2D wave polynomials as base functions in modified FEM

Czasopismo: PROCEEDINGS OF LSAME.08: LEUVEN SYMPOSIUM ON APPLIED MECHANICS IN ENGINEERING   Tom: 1, Strony: 271-283
ISBN:  978-90-73802-85-8
Wydawca:  KATHOLIEKE UNIV LEUVEN, DEPT WERKTUIGKUNDE, CELESTIJNENLAAN 300B, HEVERLEE, B-3001, BELGIUM
Opublikowano: 2008
 
  Autorzy / Redaktorzy / Twórcy
Imię i nazwisko Wydział Katedra Procent
udziału
Liczba
punktów
Artur Maciąg orcid logoWZiMKKatedra Matematyki *****33.00  
Beata Maciejewska orcid logoWZiMKKatedra Matematyki *****33.00  
Małgorzata Sokała orcid logoWZiMKKatedra Matematyki *****33.00  

Grupa MNiSW:  Materiały z konferencji międzynarodowej (zarejestrowane w Web of Science)
Punkty MNiSW: 0
Klasyfikacja Web of Science: Proceedings Paper


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Abstract:

The paper presents solutions of a two-dimensional wave equation by using Trefftz functions. Two ways of obtaining different forms of these functions are shown. The first one is based on a generating function for the wave equation and leads to recurrent formulas for functions and their derivatives. The second one is based on a Taylor series expansion and additionally uses the inverse Laplace operator. Obtained wave functions can be used to solve the wave equation in the whole considered domain or can be used as base functions in FEM. For solving the problem three kinds of modified FEM are used: nodeless, continuous and discontinuous FEM. In order to compare the results obtained with the use of the aforementioned methods, a problem of membrane vibrations has been considered.