Solution of 2D non-homogenous wave equation by using polywave functions. (Received in the final form February 9, 2010)

Journal Title: Computer Assisted Methods in Engineering and Science - Year 2009, Vol 16, Issue 3

Abstract

The paper presents a specific technique of solving the non-homogenous wave equation with the use of Trefftz functions for the wave equation. The solution was presented as a sum of a general integral and a particular integral. The general integral was expressed in the form of a linear combination of Trefftz functions for the wave equation. In order to obtain the particular integral polywave functions were used. They were generated by using the inverse operator L-1 of the equation taking into consideration the Trefftz functions.

Authors and Affiliations

Małgorzata Sokała

Keywords

Related Articles

Application of grammatical evolution to coefficient identification problem in two-dimensional elastic problem

Grammatical evolution (GE), which is a kind of evolutionary algorithms, is designed to find a function, an executable program or program fragment that will achieve a good fitness value for the given objective function to...

Regularization using truncated singular value decomposition for estimating the Fourier spectrum of a noised space distribution over an extended support

This paper is devoted to a theoretical and numerical study of different ways of calculating the Fourier transform of a noisy signal where the boundary conditions at the lateral boundaries of the measurement interval are...

Hybrid Monte Carlo method in the reliability analysis of structures

The paper develops the idea of [8], i.e., the application of Artificial Neural Networks (ANNs) in probabilistic reliability analysis of structures achieved by means of Monte Carlo (MC) simulation. In this method, a feed-...

Analysis of fluid-structure interaction of a torus subjected to wind loads

In the paper the aerodynamic forces acting on a part of a water slide or other object with curved, tubular shape, depending on the section of a torus and value of the wind velocity, were obtained. This was done by means...

Novelty detection based on elastic wave signals measured by different techniques

The paper discusses the results of laboratory experiments in which three independent measurement techniques were compared: a digital oscilloscope, phased array acquisition system, a laser vibrometer 3D. These techniques...

Download PDF file
  • EP ID EP74554
  • DOI -
  • Views 152
  • Downloads 0

How To Cite

Małgorzata Sokała (2009). Solution of 2D non-homogenous wave equation by using polywave functions. (Received in the final form February 9, 2010). Computer Assisted Methods in Engineering and Science, 16(3), 209-221. https://europub.co.uk/articles/-A-74554