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Year: 2021


Type: Article



Title: Accuracy Investigation of FDM, FEM and MoM for a Numerical Solution of the 2D Laplace’s Differential Equation for Electrostatic Problems


Author: Glushica, Bojan
Author: Kuhar, Andrijana
Author: Arnautovski Toseva, Vesna



Abstract: Laplace’s differential equation is one of the most important equations which describe the continuity of a system in various fields of engineering. As a system gets more complex, the need for solving this equation numerically rises. In this paper we present an accuracy investigation of three of the most significant numerical methods used in computational electromagnetics by applying them to solve Laplace’s differential equation in a two-dimensional domain with Dirichlet boundary conditions. We investigate the influence of discretization on the relative error obtained by applying each method. We point out advantages and disadvantages of the investigated computational methods with emphasis on the hardware requirements for achieving certain accuracy.


Publisher: Association on Communications, Information, Electronic and Energy Systems


Relation: The Journal of CIEES



Identifier: oai:repository.ukim.mk:20.500.12188/25720
Identifier: http://hdl.handle.net/20.500.12188/25720
Identifier: 10.48149/jciees.2021.1.2.5
Identifier: http://journal.ciees.eu/index.php/ojs/article/download/17/14
Identifier: http://journal.ciees.eu/index.php/ojs/article/download/17/14
Identifier: 1
Identifier: 2
Identifier: 26
Identifier: 30



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Accuracy Investigation of FDM, FEM and MoM for a Numerical Solution of the 2D Laplace’s Differential Equation for Electrostatic Problems202123