2D wave polynomials as base functions in modified FEM

• Autorzy: Maciąg A. , Maciejewska B. , Sokała M.
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Trefftz functions; wave function; inverse operations; FEM

PL

funkcje Trefftza; funkcja falowa; MES (metoda elementów skończonych)

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2008
• Tom: Vol. 15, No. 3/4
• Strony: 265--278
• Opis fizyczny: Bibliogr. 15 poz., tab., wykr.

Twórcy

autor

Maciąg A.

autor

Maciejewska B.

autor

Sokała M.

• Kielce University of Technology, Kielce, Poland

Bibliografia

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