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2 2008

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2D wave polynomials as base functions in modified FEM

Maciąg A., Maciejewska B., Sokała M.

Computer Assisted Mechanics and Engineering Sciences

2008

Vol. 15, No. 3/4

265-278

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

Solutions of Two-Dimensional Wave Equation using some Form of the Trefftz Functions

Sokała M.

Computational Methods in Science and Technology

2008

Vol. 14, nr 2

111-122

The paper presents a specific technique to generate the Trefftz functions for the two-dimensional wave equation. The obtained functions are used to determine approximate solutions of some tested problems. The accuracy of the method is discussed.