Explicit estimation of an integral in a domain by the multiple reciprocity method with the use of inverse operations

• Autorzy: Frąckowiak A. , Ciałkowski M.
• Języki publikacji: EN

Abstrakty

EN

The paper presents two methods of solving the Poisson equation. One is based on the multiple reciprocity method. An analytical form of the basic solution obtained by means of inverse operation technique enabled assessing the method's error. The other is based on source function expansion into a series according to polyharmonic functions. Further polyharmonic functions have been obtained through inverse operations (with the delta -1 operator) applied to polyharmonic functions. Numerical results have confirmed perfect efficiency of both methods.

Słowa kluczowe

EN

Poisson equation; multiple reciprocity method; inverse operation; fundamental solution

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2005
• Tom: Vol. 9, No 2
• Strony: 235--244
• Opis fizyczny: Bibliogr. 11 poz., rys., tab.

Twórcy

autor

Frąckowiak A.

• Chair of Thermal Engineering, Poznan University of Technology, Piotrowo 3, 60-965 Poznan, Poland

autor

Ciałkowski M.

• Chair of Thermal Engineering, Poznan University of Technology, Piotrowo 3, 60-965 Poznan, Poland

Bibliografia

• [1] Gaul L, K¨ogl M and Wagner M 2003 Boundary Element Methods for Engineers and Scientists, Springer
• [2] Nowak A J 1993 Sci. J. Silesian Tech. Univ. in Gliwice, Energetics, No. 116, pp. 1–117 (in Polish)
• [3] Nowak A J and Brebbia C A 1993 The Multiple Reciprocity Method in Advanced Formulations in Boundary Element Methods (Aliabadi M H and Brebbia C A, Eds.) Chapter 3, Computational Mechanics Publications
• [4] Kamiya N, Andoh E and Nogae K 1994 Application of the Multiple Reciprocity Method to Eigenvalue Analysis of the Helmholtz Equation in the Multiple Reciprocity Boundary Element Method (Nowak A J and Neves A C, Eds.), Chapter 5, Computational Mechanics Publications, Southampton
• [5] Wang X, Lou J, Lu Ch, Zhao Ch-L and Ang W T 2004 Optics Express 12 (5) 961
• [6] Ciałkowski M and Frąckowiak A 2000 Heat Functions and their Application to Solving Heat Conduction and Mechanical Problems, Poznan University of Technology Press, Poznan, pp. 1–360 (in Polish)
• [7] Ciałkowski M and Frąckowiak A 2002 J. Thermal Science 11 148
• [8] Ciałkowski M 2003 Technika, University of Zielona Gora 3 7 (in Polish)
• [9] Ciałkowski M and Frąckowiak A 2003 Technika, University of Zielona Gora 3 71 (in Polish)
• [10] Poillikkas A, Karageorghis A and Georgiou G 1998 Computational Mechanics 22 100
• [11] Uściłowska-Gajda A, Kołodziej J A, Ciałkowski M and Frąckowiak A 2003 Computer Assisted Mechanics and Engeineering Sciences 10 661