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2009 | No 59 | 73-85
Tytuł artykułu

Numerical propositions for integral equations in the light field with multiple reflections

Autorzy
Warianty tytułu
Konferencja
Scientific Conference on Computer Applications in Electrical Engineering [13; April 14-16, 2008; Poznan]
Języki publikacji
EN
Abstrakty
EN
First the paper presents a multiple reflection method for calculation of luminous flux in interiors. The method of boundary integrals is applied. It leads to system of linear equations describing discrete values of overall luminous flux at particular surface elements of considered interior. Next, numerical propositions to solve integral equations modelling the light field with multiple reflections. Numerical examples are illustrated using the discretization method. In the paper quadrature method and projection methods (Galerkin method and collocation method) are proposed. In the future, a comparison between presented methods will be made.
Wydawca

Rocznik
Tom
Strony
73-85
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
  • Poznan University of Technology
Bibliografia
  • [1] Hopkinson R.G., Lighting, London 1963.
  • [2] Boehm W., Prautzsch H., Numerical Methods, AK Peteras Ltd., Wellesley 1993.
  • [3] Bak J., Technology of Lighting, PWN, Warszawa 1981.
  • [4] Hopkinson R.G., Colins J.B., The Ergonomics of Lighting, London 1970.
  • [5] Henrici P., Elements of Numerical Analysis, J. Wiley & Sons , New York 1964.
  • [6] Nawrowski R., Tomczewski A., Lighting design, Conference of Computers Aided in Electrical Engineering, Poznan, April 1998, pp. 547-550.
  • [7] Hącia L., Domkę K., Fredholm integral equations in the radiative heat transfer problems, Academic Journals - Electrical Engineering vol. 52(2006), 115-123.
  • [8] Hącia L., Some integral mathematical models in electrotechnics, Monograph -Computer Applications in Electrical Engineering, Poznań 2002, 106-123.
  • [9] Hącia L., Nawrowski R., Numerical methods for integral equations in the heat conduction theory of electrotechnics, Monograph -Computer Applications in Electrical Engeenering, Poznań 2002, 60-78.
  • [10] Hącia L., Iterative-collocation method for integral equations in heat conduction problems, Lecture Notes in Computer Science 4310(2007) , 378-385.
  • [11] Bednarek K., Hącia L., Tomczewski A., Computational Results for Integral Modeling in special Problems of Electrical Engineering (submitted to Verlag Springer ).
  • [12] Kasprzyk L., Nawrowski R., Tomczewski A., Application of a Parallel Virtual Machine for the Analysis of a Luminous Field. Proc. Euro PVMMPI 2002, LNCS, Vol. 2474, Springer-Verlag Berlin Heilderberg New York: 122-129.
  • [13] Nawrowski R.,Tomczewski A., (2007) Analysis of the Photometric Field in Optimization of Complex Lighting Systems, The 16th International Conference of the Computation of Electromagnetic Field, COMPUMAG 2007, Aachen, Germany, 24-28 June 2007, Volume III: 829-830.
  • [14] Nawrowski R., Tomczewski A., The calculation of luminous flux in interiors, Conference on Computer Applications in Electrical Engineering, Poznań 2000, 113-116.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0092-0040
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