doi: 10.17706/ijapm.2018.8.4.79-89
Computational Analysis of the Capacitance by the Boundary Element Method
Twaibu Semwogerere
1
,
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- 1 Faculty of Engineering, Busitema University, Tororo, Uganda
- 2 Faculty of Science Education, Busitema University, Tororo.
- 3 Department of Mathematics, Kyambogo University, Kampala.
Abstract
The boundary element method (BEM) has had an advantage of discretizing the boundary over the finite element method and the finite difference method for so long. The curved and straight elements are crucial for the discretization process. The BEM has been of fundamental importance in as far as solving a two –dimensional Laplace problem is concerned. The study aimed at using the BEM to compute the capacitance as compared to the ordinary physics methods. The BEM and its applications were reviewed in relation to curved and straight elements. The Dirac-Delta and the Green’s functions were behind the use of the BEM. A model problem was tested for analysis of the BEM with curved elements in relation to the computation of the capacitance. The MATLAB programs (Beextcp.m, Beextc.m, Beextcp5.m, ansep.m, eltsp.m, anse1.m, Eltsp5.m, Mant2.m, and Trapez.m) and subprograms were used among others in solving the problem and also in the analysis. Findings involved the computation of the matrix terms for curved elements in relation to the cylinder curvatures. Findings also showed and compared three methods of computing the capacitance in a model problem from electrostatics. The concentric cylinder considered in this study had different shape plates where the BEM showed a fundamental advantageous stage of the BEM in calculating the capacitance for various curvature plate shapes than any other numerical method by simply increasing on the number of elements. The BEM avoids assumptions about the inner plate and treating the situation as a connected domain.
Keywords
- Boundary element method
- capacitance
- curved
- elements
- formulation
How to Cite
Twaibu Semwogerere, Richard Awich, and Hasifa Nampala, "Computational Analysis of the Capacitance by the Boundary Element Method," International Journal of Applied Physics and Mathematics, vol. 8, no. 4, pp. 79-89, 2018. https://doi.org/ 10.17706/ijapm.2018.8.4.79-89
Copyright & License
Copyright © 2018 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).