Iterative solution techniques for hybrid finite-element spectral-element models

IEEE Transactions on Magnetics

Volumn 39, Issue 3 I, 2003, Pages 1717-1720

  De Gersem, Herbert ^a   Clemens, Markus ^a   Weiland, Thomas ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Coupled problems; Finite element (FE) methods; Iterative methods; Spectral element (SE) methods; Superconductive magnets

Indexed keywords

CURRENT DENSITY; FAST FOURIER TRANSFORMS; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MAGNETOSTATICS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; STIFFNESS MATRIX; SUPERCONDUCTING MAGNETS; TWO DIMENSIONAL; VECTORS;

BOUNDARY INTEGRAL; HYBRID FINITE-ELEMENT SPECTRAL-ELEMENT DISCRETIZATION; MAGNETIC VECTOR POTENTIAL; SCHUR COMPLEMENTS;

ITERATIVE METHODS;

EID: 0038519668     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2003.810544     Document Type: Article

References (10)

1. S. Brenner and L. Scott, The Mathematical Theory of Finite Element Methods. Berlin, Germany: Springer-Verlag, 1996.
2. H. De Gersem, M. Clemens, and T. Weiland, "Coupled finite-element, spectral-element discretization for models with circular inclusions and far-field domains," Proc. IEE Sci., Measure. Technol., vol. 149, no. 5, pp. 237-241, Sept. 2002.
3. H. De Gersem and K. Hameyer, "Harmonic boundary conditions for circular inclusions and their coupling to external circuits," Proc. IEE Sci., Measure. Technol., vol. 148, no. 6, pp. 257-262, Nov. 2001.
4. B. Fornberg, A Practical Guide to Pseudospectral Methods. Cambridge, U.K.: Cambridge Univ. Press, 1996.
5. E. Freeman and D. Lowther, "A novel mapping technique for open boundary finite element solutions to Poissons equations," IEEE Trans. Magn., vol. 24, pp. 2934-2936, Nov. 1988.
6. S. Kurz, S. Russenschuck, and N. Siegel, "Accurate calculation of fringe fields in the LHC main dipoles," IEEE Trans. Appl. Superconduct., vol. 10, pp. 85-88, Mar. 2000.
7. D. Lahaye, K. Hameyer, and S. Vandewalle, "An algebraic multilevel preconditioner for field-circuit coupled problems," IEEE Trans. Magn., vol. 38, pp. 413-416, Mar. 2002.
8. C. Paige and M. Saunders, "Solution of sparse indefinite systems of linear equations," SIAM J. Numer. Anal., vol. 12, no. 4, pp. 617-629, 1975.
9. V. Rischmüller, S. Kurz, and W. Rucker, "Parallelization of coupled differential and integral methods using domain decomposition," IEEE Trans. Magn., vol. 38, pp. 981-984, Mar. 2002.
10. B. Smith, P. Bjørstad, and W. Gropp, Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations. Cambridge, U.K.: Cambridge Univ. Press, 1996.