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Dive into the research topics where Artur Maciąg is active.

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Featured researches published by Artur Maciąg.


Mathematical Problems in Engineering | 2005

Three-dimensional wave polynomials

Artur Maciąg

We demonstrate a specific power series expansion technique to solve the three-dimensional homogeneous and inhomogeneous wave equations. As solving functions, so-called wave polynomials are used. The presented method is useful for a finite body of certain shape. Recurrent formulas to improve efficiency are obtained for the wave polynomials and their derivatives in a Cartesian, spherical, and cylindrical coordinate system. Formulas for a particular solution of the inhomogeneous wave equation are derived. The accuracy of the method is discussed and some typical examples are shown.


Computer Assisted Mechanics and Engineering Sciences | 2005

Wave polynomials for solving different types of two-dimensional wave equations

Artur Maciąg; J. Wauer


Engineering Transactions | 2007

Wave Polynomials in Elasticity Problems

Artur Maciąg


Journal of Theoretical and Applied Mechanics | 2008

The method of solving polynomials in the beam vibration problem

Mohammad Jehad Al-Khatib; Krzysztof Grysa; Artur Maciąg


Journal of Theoretical and Applied Mechanics | 2013

Solving direct and inverse problems of plate vibration by using the Trefftz functions

Artur Maciąg; Anna Pawinska


Journal of Theoretical and Applied Mechanics | 2011

Trefftz functions for a plate vibration problem

Artur Maciąg


Computer Assisted Mechanics and Engineering Sciences | 2008

Energetic approach to direct and inverse heat conduction problems with Trefftz functions used in FEM

Krzysztof Grysa; R. Leśniewska; Artur Maciąg


Computer Assisted Mechanics and Engineering Sciences | 2009

Solving thermoelasticity problems by means of Trefftz functions

Artur Maciąg


Computer Assisted Mechanics and Engineering Sciences | 2009

Trefftz function for solving a quasi-static inverse problem of thermal stresses

Krzysztof Grysa; Artur Maciąg; Beata Maciejewska


Computer Assisted Mechanics and Engineering Sciences | 2008

2D wave polynomials as base functions in modified FEM

Artur Maciąg; Beata Maciejewska; M. Sokała

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Krzysztof Grysa

Kielce University of Technology

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Anna Pawinska

Kielce University of Technology

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Beata Maciejewska

Kielce University of Technology

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Magdalena Walaszczyk

Kielce University of Technology

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Mohammad Jehad Al-Khatib

Kielce University of Technology

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Patrycja Krzyszkowska

Kielce University of Technology

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