EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Volume 37 / No 2 (March/April 2003) ESAIM: M2AN, 37 2 (2003) 291-318 References
Free Access
Issue
ESAIM: M2AN
Volume 37, Number 2, March/April 2003
Page(s) 291 - 318
DOI https://doi.org/10.1051/m2an:2003027
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]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you