VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Numerical solving of poisson equation in 3D by using finite difference method
    Avdiaj, Sefer ; Šetina, Janez
    Scientists and engineers use several techniques in solving continuum or field problems. Loosely speaking, these techniques can be classified as experimental, analytical, or numerical. Experiments are ... expensive, time consuming, sometimes hazardous, and usually do not allow much flexibility in parameter variation. However, every numerical method, as we shall see, involves an analytic simplification to the point where it is easy to apply the numerical method. In spite of this fact, the following methods are among the most commonly used in electromagnetism (EM). In general these methods could be divided in: Analytical Methods and Numerical Methods. Application of these methods is not limited to EM-related problems; they find applications in other continuum problems such as in fluid, heat transfer, and acoustics. The aim of this work is to be able in the future to be used to solve the diffusion equation (Fick's Second Law) which is very useful in vacuum system. In this work the FDM has been elaborated. In the beginning approximate methods in general have been elaborated. The main problem of electrostatics is solving Poisson equation. In the regions where there is no charges, the Poisson equation transforms into Laplace equation. The most common situations are when the potential on the surface that surrounds the area of interest is known. The finite difference techniques are based upon approximations which permit replacing differential equations by finite difference equations. These finite difference approximations are algebraic in form; they relate the value of the dependent variable at a point in the solution region to the values at some neighboring points. From the results we can see that the accuracy increases with increasing the number of grid points and iterations.
    Vir: Journal of engineering and applied sciences. - ISSN 1816-949X (Vol. 5, no. 1, 2010, str. 14-18)
    Vrsta gradiva - članek, sestavni del
    Leto - 2010
    Jezik - angleški
    COBISS.SI-ID - 817578

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