We can solve electromagnetic problems using two main mathematical tools: vector calculus and differential equations. These tools command the computational electromagnetic domain. However, these tools are not always needed for the realistic modeling of electromagnetic problems. In reality, we are interested in the measurement of scalar quantities in electromagnetics, not vector quantities. Conventional electromagnetic simulation approaches are proving to be more mathematical than physical. Furthermore, the use of differential equations leads us along a different route for modeling fundamental physics. Since computers need discrete formulations, we can’t directly transform continuous differential equations into numerical algorithms. The algebraic topological method is a direct discrete and computationally ambitious technique that uses only physically measurable scalar quantities. This paper simulates a parallel plate capacitor using global variables and calculating and comparing the potentials with the analytical method. The measured results show a good agreement between the analytical and the algebraic topological methods.
| Published in | American Journal of Electromagnetics and Applications (Volume 9, Issue 2) |
| DOI | 10.11648/j.ajea.20210902.11 |
| Page(s) | 13-18 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2021. Published by Science Publishing Group |
Topological, Scalar, Vector, Variables, Simplex, Primal, Dual, Capacitor
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APA Style
Vikram Reddy Anapana, Venkata Kowshik Sivva, Pranav Sai, Venkatesh Gongolu, Lanka Mithin Chakravarthy. (2021). Electromagnetic Problems Modeling Using Algebraic Topological Method. American Journal of Electromagnetics and Applications, 9(2), 13-18. https://doi.org/10.11648/j.ajea.20210902.11
ACS Style
Vikram Reddy Anapana; Venkata Kowshik Sivva; Pranav Sai; Venkatesh Gongolu; Lanka Mithin Chakravarthy. Electromagnetic Problems Modeling Using Algebraic Topological Method. Am. J. Electromagn. Appl. 2021, 9(2), 13-18. doi: 10.11648/j.ajea.20210902.11
AMA Style
Vikram Reddy Anapana, Venkata Kowshik Sivva, Pranav Sai, Venkatesh Gongolu, Lanka Mithin Chakravarthy. Electromagnetic Problems Modeling Using Algebraic Topological Method. Am J Electromagn Appl. 2021;9(2):13-18. doi: 10.11648/j.ajea.20210902.11
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Download@article{10.11648/j.ajea.20210902.11,
author = {Vikram Reddy Anapana and Venkata Kowshik Sivva and Pranav Sai and Venkatesh Gongolu and Lanka Mithin Chakravarthy},
title = {Electromagnetic Problems Modeling Using Algebraic Topological Method},
journal = {American Journal of Electromagnetics and Applications},
volume = {9},
number = {2},
pages = {13-18},
doi = {10.11648/j.ajea.20210902.11},
url = {https://doi.org/10.11648/j.ajea.20210902.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20210902.11},
abstract = {We can solve electromagnetic problems using two main mathematical tools: vector calculus and differential equations. These tools command the computational electromagnetic domain. However, these tools are not always needed for the realistic modeling of electromagnetic problems. In reality, we are interested in the measurement of scalar quantities in electromagnetics, not vector quantities. Conventional electromagnetic simulation approaches are proving to be more mathematical than physical. Furthermore, the use of differential equations leads us along a different route for modeling fundamental physics. Since computers need discrete formulations, we can’t directly transform continuous differential equations into numerical algorithms. The algebraic topological method is a direct discrete and computationally ambitious technique that uses only physically measurable scalar quantities. This paper simulates a parallel plate capacitor using global variables and calculating and comparing the potentials with the analytical method. The measured results show a good agreement between the analytical and the algebraic topological methods.},
year = {2021}
}
TY - JOUR T1 - Electromagnetic Problems Modeling Using Algebraic Topological Method AU - Vikram Reddy Anapana AU - Venkata Kowshik Sivva AU - Pranav Sai AU - Venkatesh Gongolu AU - Lanka Mithin Chakravarthy Y1 - 2021/09/26 PY - 2021 N1 - https://doi.org/10.11648/j.ajea.20210902.11 DO - 10.11648/j.ajea.20210902.11 T2 - American Journal of Electromagnetics and Applications JF - American Journal of Electromagnetics and Applications JO - American Journal of Electromagnetics and Applications SP - 13 EP - 18 PB - Science Publishing Group SN - 2376-5984 UR - https://doi.org/10.11648/j.ajea.20210902.11 AB - We can solve electromagnetic problems using two main mathematical tools: vector calculus and differential equations. These tools command the computational electromagnetic domain. However, these tools are not always needed for the realistic modeling of electromagnetic problems. In reality, we are interested in the measurement of scalar quantities in electromagnetics, not vector quantities. Conventional electromagnetic simulation approaches are proving to be more mathematical than physical. Furthermore, the use of differential equations leads us along a different route for modeling fundamental physics. Since computers need discrete formulations, we can’t directly transform continuous differential equations into numerical algorithms. The algebraic topological method is a direct discrete and computationally ambitious technique that uses only physically measurable scalar quantities. This paper simulates a parallel plate capacitor using global variables and calculating and comparing the potentials with the analytical method. The measured results show a good agreement between the analytical and the algebraic topological methods. VL - 9 IS - 2 ER -
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