Archives of Acoustics (Mar 2014)

A solution of 3D Helmholtz equation for boundary geometry modeled by Coons patches using the Parametric Integral Equation System

  • E. ZIENIUK,
  • K. SZERSZEŃ

Journal volume & issue
Vol. 31, no. 1

Abstract

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In this paper, the authors propose an algorithm for numerical solution of the 3D Helmholtz equation using the Parametric Integral Equation System (PIES). The PIES, unlike the traditional Boundary Integral Equation (BIE), is characterized by the fact that the boundary geometry has been considered in its mathematical formalism. Polygonal Coons surfaces have been used to describe the 3D domain. This makes it possible to obtain continuous solutions without any discretization of the 3D domain.

Keywords