Free Access
Volume 37, Number 2, March/April 2003
Page(s) 291 - 318
Published online 15 November 2003
  1. A. Alonso and A. Valli, An optimal domain decomposition preconditioner for low-frequency time-harmonic Maxwell equations, Math. Comp. 68 (1999) 607-631. [Google Scholar]
  2. H. Ammari, A. Buffa and J.-C. Nédélec, A justification of eddy currents model for the Maxwell equations. SIAM J. Appl. Math. 60 (2000) 1805-1823. [CrossRef] [MathSciNet] [Google Scholar]
  3. C. Amrouche, C. Bernardi, M. Dauge and V. Girault, Vector potentials in three-dimensional nonsmooth domains. Math. Methods Appl. Sci. 21 (1998) 823-864. [CrossRef] [MathSciNet] [Google Scholar]
  4. A. Bermúdez, R. Rodríguez and P. Salgado, A finite element method with Lagrange multipliers for low-frequency harmonic Maxell equations. SIAM J. Numer. Anal. 40 (2002) 1823-1849. [CrossRef] [MathSciNet] [Google Scholar]
  5. A. Bossavit and J. Vérité, The TRIFOU code: Solving the 3-D eddy-currents problem by using H as state variable. IEEE Trans. Mag. 19 (1983) 2465-2470. [CrossRef] [Google Scholar]
  6. A. Bossavit, Two dual formulations of the 3-D eddy-currents problem. COMPEL 4 (1985) 103-116. [CrossRef] [MathSciNet] [Google Scholar]
  7. A. Bossavit, A rationale for edge elements in 3-D field computations. IEEE Trans. Mag. 24 (1988) 74-79. [Google Scholar]
  8. A. Bossavit, The computation of eddy-currents in dimension 3 by using mixed finite elements and boundary elements in association. Math. Comput. Modelling 15 (1991) 33-42. [CrossRef] [Google Scholar]
  9. A. Bossavit, Électromagnétisme, en vue de la modélisation. Springer-Verlag, Paris, Berlin, Heidelberg (1993). [Google Scholar]
  10. F. Brezzi and M. Fortin, Mixed and hybrid finite element methods. Springer, Berlin, Heidelberg, New York (1991). [Google Scholar]
  11. A. Buffa, Hodge decompositions on the boundary of a polyhedron: the multi-connected case. Math. Models Methods Appl. Sci. 11 (2001) 1491-1504. [CrossRef] [MathSciNet] [Google Scholar]
  12. A. Buffa, Traces for functional spaces related to Maxwell equations: an overview, in Proceedings of GAMM-Workshop, Kiel (2001). [Google Scholar]
  13. A. Buffa and P. Ciarlet Jr., On traces for functional spaces related to Maxwell's equation. Part I: An integration by parts formula in lipschitz polyhedra. Math. Methods Appl. Sci. 24 (2001) 9-30. [CrossRef] [MathSciNet] [Google Scholar]
  14. A. Buffa, M. Costabel and D. Sheen, On traces for H(curl,Ω) in Lipschitz domains. University of Pavia, IAN-CNR 1185 (2000). [Google Scholar]
  15. A. Buffa, M. Costabel and Ch. Schwab, Boundary element methods for Maxwell's equations on non-smooth domains. Numer. Math. (2001) (electronic) DOI 10.1007/s002110100372. [Google Scholar]
  16. M. Costabel, Symmetric methods for the coupling of finite elements and boundary elements, in The Mathematics of Finite Elements and Applications IV, Academic Press, London (1988). [Google Scholar]
  17. R. Dautray and J.L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques, Vol. 5. Masson, Paris, Milan, Barcelone (1988). [Google Scholar]
  18. G.N. Gatica and G.C. Hsiao, Boundary-field equation methods for a class of nonlinear problems. Longman (1995). [Google Scholar]
  19. V. Girault and P.A. Raviart, Finite element approximation of the Navier-Stokes equations: theory and algorithms. Springer, Berlin, Heidelberg, New York (1986). [Google Scholar]
  20. R. Hiptmair, Symmetric coupling for eddy current problems. SIAM J. Numer. Anal. 40 (2002) 41-65. [CrossRef] [MathSciNet] [Google Scholar]
  21. C. Johnson and J.C. Nédélec, On the coupling of boundary integral and finite element methods. Math. Comp. 35 (1980) 1063-1079. [CrossRef] [MathSciNet] [Google Scholar]
  22. W. McLean, Strongly elliptic systems and boundary integral equations. Cambridge University Press (2000). [Google Scholar]
  23. S. Meddahi, An optimal iterative process for the Johnson-Nedelec method of coupling boundary and finite elements. SIAM J. Numer. Anal. 35 (1998) 1393-1415. [CrossRef] [MathSciNet] [Google Scholar]
  24. S. Meddahi, A mixed-FEM and BEM coupling for a two-dimensional eddy current problem. Numer. Funct. Anal. Optim. 22 (2001) 675-696. [CrossRef] [MathSciNet] [Google Scholar]
  25. S. Meddahi and F.J. Sayas, A fully discrete BEM-FEM for the exterior Stokes problem in the plane. SIAM J. Numer. Anal. 37 (2000) 2082-2102. [CrossRef] [MathSciNet] [Google Scholar]
  26. S. Meddahi, J. Valdés, O. Menéndez and P. Pérez, On the coupling of boundary integral and mixed finite element methods. J. Comput. Appl. Math. 69 (1996) 127-141. [Google Scholar]
  27. J.C. Nédélec, Mixed finite elements in Formula . Numer. Math. 35 (1980) 315-341. [CrossRef] [MathSciNet] [Google Scholar]
  28. J.C. Nédélec, Acoustic and electromagnetic equations. Integral representations for harmonic problems. Springer-Verlag, New York (2001). [Google Scholar]
  29. J.E. Roberts and J.M. Thomas, Mixed and hybrid methods, in Handbook of Numerical Analysis, Vol. II, P.G. Ciarlet and J.L. Lions Eds., North-Holland, Amsterdam (1991) 523-639. [Google Scholar]

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