Volume 8 Number 4 (Oct. 2018)
Home > Archive > 2018 > Volume 8 Number 4 (Oct. 2018) >
IJAPM 2018 Vol.8(4): 79-89 ISSN: 2010-362X
doi: 10.17706/ijapm.2018.8.4.79-89

Computational Analysis of the Capacitance by the Boundary Element Method

Twaibu Semwogerere, Richard Awich, Hasifa Nampala
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.

Index Terms—Boundary element method, capacitance, curved, elements, formulation.

Twaibu Semwogerere is with Faculty of Engineering, Busitema University, Tororo, Uganda (email: semwogereretwaibu@yahoo.co.uk).
Richard Awich is with Faculty of Science Education, Busitema University, Tororo.
Hasifa Nampala is with Department of Mathematics, Kyambogo University, Kampala.

Cite: Twaibu Semwogerere, Richard Awich, 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.

General Information

ISSN: 2010-362X
Frequency: Bimonthly (2011-2014); Quarterly (Since 2015)
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Electronic Journals Library, Nanowerk Database, Google Scholar, EBSCO, and ProQuest
E-mail: ijapm@iap.org
  • Aug 06, 2018 News!

    IJAPM Vol 7, No 1-No 3 have been indexed by EI (Inspec)   [Click]

  • Oct 10, 2018 News!

    The paper published in Vol 8, No 4 has received dois from Crossref

  • Sep 29, 2018 News!

    Vol 8, No 4 has been published with online version     [Click]

  • Apr 23, 2018 News!

    The paper published in Vol 8, No 3 has received dois from Crossref

  • Apr 19, 2018 News!

    Vol 8, No 3 has been published with online version     [Click]

  • Read more>>
  • 2018和彩往期 ,六和彩四小尾数 ,香港六和彩的开奖记录
  • 香港白小姐一肖一码28,香港白小姐一肖一码
  • 香港马会免费资料大全,香港马会免费资料内部资料公开
  • 现场报码www.0077kj.com,现场开奖.com
  • 2018年欲钱料正版2018年欲钱料正版大全2018年歇后语001 一153
  • 香港开i奖现场直播视频, 香港骞马会管家婆玄机彩图
  • 彩虹六号猎恐是人机吗,彩虹六号每日挑战
  • 香港创富国际交易中心香港创富彩图库香港创富网
  • 2018年香港开奖结果2018年香港开奖结果历史记录2018年香港开奖结果现场直播