An iterative procedure for solving FEM-BEM equations

A new very efficient iterative FEM-BEM hybrid procedure for solving stationary and steady state electromagnetic fields is proposed. The value of the magnetic vector potential is obtained from the integral equation on the boundary of the exterior domain for a given value of the normal derivative. Sol...

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Main Authors: Florea Ioan Hantila, Iosif Nemoianu, Mihai Maricaru, Ioana Hantila, Paula Palade
Format: Article
Language:English
Published: Editura Universităţii din Oradea 2009-05-01
Series:Journal of Electrical and Electronics Engineering
Subjects:
Online Access:http://electroinf.uoradea.ro/reviste%20CSCS/documente/JEEE_2009/Articole_pdf_JEEE_EE_nr_1/JEEE_2009_Nr_1_EE_Hantila_An_Iterative.pdf
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author Florea Ioan Hantila
Iosif Nemoianu
Mihai Maricaru
Ioana Hantila
Paula Palade
author_facet Florea Ioan Hantila
Iosif Nemoianu
Mihai Maricaru
Ioana Hantila
Paula Palade
author_sort Florea Ioan Hantila
collection DOAJ
description A new very efficient iterative FEM-BEM hybrid procedure for solving stationary and steady state electromagnetic fields is proposed. The value of the magnetic vector potential is obtained from the integral equation on the boundary of the exterior domain for a given value of the normal derivative. Solving the interior problem using FEM with Dirichlet boundary conditions given by BEM proves to be very useful. Specific sparse matrix procedures may be used. It can be proven that a large enough value of the magnetic permeability assures the method convergence. Applying the fixed point polarization method to the nonlinear field problems allows the use of an arbitrary value of the magnetic permeability. Several illustrative examples are also presented.
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spelling doaj.art-b5af31ff95c84de0bc7e5165f94295222022-12-21T17:31:06ZengEditura Universităţii din OradeaJournal of Electrical and Electronics Engineering1844-60352009-05-01215255An iterative procedure for solving FEM-BEM equationsFlorea Ioan HantilaIosif NemoianuMihai MaricaruIoana HantilaPaula PaladeA new very efficient iterative FEM-BEM hybrid procedure for solving stationary and steady state electromagnetic fields is proposed. The value of the magnetic vector potential is obtained from the integral equation on the boundary of the exterior domain for a given value of the normal derivative. Solving the interior problem using FEM with Dirichlet boundary conditions given by BEM proves to be very useful. Specific sparse matrix procedures may be used. It can be proven that a large enough value of the magnetic permeability assures the method convergence. Applying the fixed point polarization method to the nonlinear field problems allows the use of an arbitrary value of the magnetic permeability. Several illustrative examples are also presented.http://electroinf.uoradea.ro/reviste%20CSCS/documente/JEEE_2009/Articole_pdf_JEEE_EE_nr_1/JEEE_2009_Nr_1_EE_Hantila_An_Iterative.pdfFEM-BEMhybrid iterative methodsparse matrix proceduresferromagnetic shielding efficiency
spellingShingle Florea Ioan Hantila
Iosif Nemoianu
Mihai Maricaru
Ioana Hantila
Paula Palade
An iterative procedure for solving FEM-BEM equations
Journal of Electrical and Electronics Engineering
FEM-BEM
hybrid iterative method
sparse matrix procedures
ferromagnetic shielding efficiency
title An iterative procedure for solving FEM-BEM equations
title_full An iterative procedure for solving FEM-BEM equations
title_fullStr An iterative procedure for solving FEM-BEM equations
title_full_unstemmed An iterative procedure for solving FEM-BEM equations
title_short An iterative procedure for solving FEM-BEM equations
title_sort iterative procedure for solving fem bem equations
topic FEM-BEM
hybrid iterative method
sparse matrix procedures
ferromagnetic shielding efficiency
url http://electroinf.uoradea.ro/reviste%20CSCS/documente/JEEE_2009/Articole_pdf_JEEE_EE_nr_1/JEEE_2009_Nr_1_EE_Hantila_An_Iterative.pdf
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