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Journals & Magazines >IEEE Transactions on Magnetics >Volume: 43 Issue: 4

Efficient Linear Solvers for Mortar Finite-Element Method

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Tetsuji Matsuo; Yoshinori Ohtsuki; Masaaki Shimasaki
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Abstract:

Efficient linear solvers for mortar finite-element method are studied. An analysis of a brushless DC motor shows that proposed preconditioners improve the convergence to ...Show More

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Abstract:

Efficient linear solvers for mortar finite-element method are studied. An analysis of a brushless DC motor shows that proposed preconditioners improve the convergence to the solutions of linear systems with and without Lagrange multipliers
Published in: IEEE Transactions on Magnetics ( Volume: 43, Issue: 4, April 2007)
Page(s): 1469 - 1472
Date of Publication: 26 March 2007

ISSN Information:

DOI: 10.1109/TMAG.2007.891415
References is not available for this document.
Contents

I. Introduction

The mortar Finite-Element Method (FEM) [1], [2] is a domain decomposition approach that allows mesh nonconformity at the domain interfaces. It can provide an efficient formulation for analysis of rotating machinery using a sliding mesh [3]–[5].

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1.
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2.
F. B. Belgacem, "The mortar finite element method with Lagrangemultipliers", Numer. Math., vol. 84, pp. 173-197, 1999.
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3.
F. Rapetti, F. Bouillault, L. Santandrea, A. Buffa, Y. Maday and A. Razek, "Calculationof eddy currents with edge elements on non-matching grids in moving structures", IEEE Trans. Magn., vol. 36, pp. 1351-1355, Jul. 2000.
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A. Buffa, Y. Maday and F. Rapetti, "Asliding mesh-mortar method for a two dimensional eddy currents model for electricengines", Mod. Math. Anal. Numer., vol. 35, no. 2, pp. 191-228, 2001.
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O. J. Antunes, J. P. A. Bastos, N. Sadowski, A. Razek, L. Santandrea, F. Bouillault, et al., "Using hierarchic interpolation with mortar element methodfor electrical machines analysis", IEEE Trans. Magn., vol. 41, no. 5, pp. 1472-1475, May 2005.
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Y. Achdou, Y. Maday and O. B. Widlund, "Iterative substructuring preconditioners for mortar elementmethods in two dimensions", SIAM J. Numer. Anal., vol. 36, no. 2, pp. 551-580, 1999.
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7.
J. Gopalakrishnan and J. E. Pasciak, "Multigrid for the mortar finite elementmethod", SIAM J. Numer. Anal., vol. 37, no. 3, pp. 1029-1052, 2000.
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8.
M. Dryja, A. Gantner, O. B. Widlund and B. I. Wohlmuth, "Multilevel additive Schwarz preconditioner for nonconformingmortar finite element methods", J. Numer. Math., vol. 12, no. 1, pp. 23-38, 2004.
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H. C. Elman, "Preconditioners for saddle point problemsarising in computational fluid dynamics", Appl. Numer. Math., vol. 43, pp. 75-89, 2002.
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