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Comparison of Discontinuous Galerkin and Continuous Finite Element Methods in Analysis of a 2-D Magnetostatic Problem

Darko Ninković, Slobodan Savić, Milan M. Ilić

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Abstract

The discontinuous Galerkin (DG) method, which potentially offers various advantages over the classical continuous finite element method (FEM), is used for solving a two-dimensional (2-D) magnetostatic problem of finding the magnetic vector potential in an electromagnet. When numerical model parameters are set correctly, as expected, the results obtained by the DG approach are in very good agreement with results obtained by the continuous FEM analysis.

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What this paper is about

The discontinuous Galerkin (DG) method, which potentially offers various advantages over the classical continuous finite element method (FEM), is used for solving a two-dimensional (2-D) magnetostatic problem of finding the magnetic vector potential in an electromagnet. When numerical model parameters are set correctly, as expected, the results obtained by the DG approach are in very good agreement with results obtained by the continuous FEM analysis.

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Available abstract

The discontinuous Galerkin (DG) method, which potentially offers various advantages over the classical continuous finite element method (FEM), is used for solving a two-dimensional (2-D) magnetostatic problem of finding the magnetic vector potential in an electromagnet. When numerical model parameters are set correctly, as expected, the results obtained by the DG approach are in very good agreement with results obtained by the continuous FEM analysis.

Key concepts: Finite element method, Discontinuous Galerkin method, Galerkin method, Electromagnet, Mathematical analysis, Mixed finite element method, Mathematics, Applied mathematics

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