Matjaž Ramšak (Author), Leopold Škerget (Author)

Abstract

This paper deals with the efficient 3D multidomain boundary element method (BEM) for solving a Poisson equation. The integral boundary equation is discretized using linear mixed boundary elements. Sparse system matrices similar to the finite element method are obtained, using a multidomain approach, also known as the ćsubdomain techniqueć. Interface boundary conditions between subdomains lead to an overdetermined system matrix, which is solved using a fast iterative linear least square solver. The accuracy, efficiency and robustness of the developed numerical algorithm are presented using cube and sphere geometry, where the comparison with the competitive BEM is performed. The efficiency is demonstrated using a mesh with over 200,000 hexahedral volume elements on a personal computer with 1 GB memory.

Keywords

Poissonova enačba;metoda končnih elementov;večobmočna metoda robnih elementov;mešani robni elementi;fluid mechanics;Poisson equation;multidomain boundary element method;boundary element method;mixed boundary elements;multidomain method;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UM FS - Faculty of Mechanical Engineering
UDC: 533.6:519.61/.64
COBISS: 13063958 Link will open in a new window
ISSN: 0955-7997
Views: 2093
Downloads: 84
Average score: 0 (0 votes)
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Other data

Secondary language: English
Secondary keywords: Poissonova enačba;metoda končnih elementov;večobmočna metoda robnih elementov;mešani robni elementi;
URN: URN:SI:UM:
Pages: str. 689-694
Volume: ǂVol. ǂ33
Issue: ǂiss.ǂ5
Chronology: May 2009
Keywords (UDC): mathematics;natural sciences;naravoslovne vede;matematika;physics;fizika;mechanics of gases;aeromechanics;plasma physics;mehanika plinov;aeromehanika;fizika plazme;aerodynamics;mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;computational mathematics;numerical analysis;računska matematika;numerična analiza;
DOI: 10.1016/j.enganabound.2008.09.009
ID: 1005976