Robust FEM/BEM coupling for magnetostatics on multiconnected domains

IEEE Transactions on Magnetics

Volumn 46, Issue 8, 2010, Pages 3177-3180

  Pusch, D ^a   Ostrowski, J ^a  

^a ABB CORPORATE RESEARCH   (Switzerland)

Author keywords

Boundary elements; finite elements; magnetostatics; multiconnected domains; permeability

Indexed keywords

BOUNDARY ELEMENT METHOD; MAGNETIC MATERIALS; MAGNETISM; MAGNETOSTATICS; MECHANICAL PERMEABILITY; SAILING VESSELS;

BOUNDARY ELEMENTS; FEM/BEM; MAGNETIC POTENTIALS; MAGNETIC VECTOR POTENTIALS; MAGNETOSTATIC PROBLEM; MULTICONNECTED DOMAINS;

FINITE ELEMENT METHOD;

EID: 77954859330     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2010.2044983     Document Type: Article

References (10)

1. M. Kuhn and O. Steinbach, "Symmetric coupling of finite and boundary elements for exterior magnetic field problems," Math. Meth. Appl. Sci., vol.25, pp. 357-371, 2002.
2. A. Frangi, P. Faure-Ragani, and L. Ghezzi, "Magneto-mechanical simulations by a coupled fast multipole method-finite element method and multigrid solvers," Comput. Struct., vol.83, no.10-11, pp. 718-726, 2005.
3. W. Hafla, A. Buchau, and W. M. Rucker, "Accuracy improvement in nonlinear magnetostatic field computations with integral equation methods and indirect total scalar potential formulations," COMPEL, vol.24, no.3, pp. 565-571, 2006.
4. P. Salgado and V. Selgas, "A symmetric BEM-FEM coupling for the three-dimensional magnetostatic problem using scalar potentials," Eng. Anal. Boundary Elements, vol.32, no.8, pp. 633-644, 2008.
5. M. Costabel, "Boundary integral operators on Lipschitz domains: Elementary results," SIAM J. Math. Anal., vol.19, pp. 613-626, 1988.
6. S. Balac and G. Caloz, "Magnetostatic field computations based on the coupling of finite element and integral representation methods," IEEE Trans. Magn., vol.38, no.2, pp. 393-396, 2002.
7. J. H. Bramble and J. E. Pasciak, "A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems," Math. Comput., vol.50, pp. 1-17, 1988.
8. W. Hackbusch, "A sparse matrix arithmetic based on β-matrices. I. Introduction to β-matrices," Computing, vol.63, no.2, pp. 89-108, 1999.
9. M. Bebendorf, "Approximation of boundary element matrices," Numerische Mathematik, vol.86, pp. 565-589, 2000.
10. J. Carrier, L. Greengard, and V. Rokhlin, "A fast adaptive multipole algorithm for particle simulations," SIAM J. Sci. Stat. Comput., vol.9, no.4, pp. 669-686, 1988.