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

• Autorzy: Zieniuk E. , Szerszeń K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Helmholtz equation; boundary integral equation; parametric integral equation system

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Komitet Akustyki PAN ; Polskie Towarzystwo Akustyczne
• Czasopismo: Archives of Acoustics
• Rocznik: 2006
• Tom: Vol. 31, No. 1
• Strony: 99--111
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Zieniuk E.

autor

Szerszeń K.

• University of Białystok, Department of Mathematics and Physics, Institute of Computer Science, Sosnowa 64, 15-887 Białystok, Poland,

Bibliografia

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