Free Access
| Issue |
ESAIM: M2AN
Volume 41, Number 6, November-December 2007
|
|
|---|---|---|
| Page(s) | 1001 - 1020 | |
| DOI | https://doi.org/10.1051/m2an:2007049 | |
| Published online | 15 December 2007 | |
- M. Ainsworth, Dispersive properties of high order Nédélec/edge element approximation of the time-harmonic Maxwell equations. Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 362 (2004) 471–491. [CrossRef] [MathSciNet] [Google Scholar]
- M. Ainsworth and J. Coyle, Hierarchic finite element bases on unstructured tetrahedral meshes. Int. J. Numer. Meth. Engng. 58 (2003) 2103–2130. [CrossRef] [Google Scholar]
- M. Ainsworth, J. Coyle, P.D. Ledger and K. Morgan, Computation of Maxwell eigenvalues using higher order edge elements in three-dimensions. IEEE Trans. Magn. 39 (2003) 2149–2153. [CrossRef] [Google Scholar]
- M.A. Armstrong, Basic Topology. Springer-Verlag, New York (1983). [Google Scholar]
- D. Arnold, R. Falk and R. Winther, Finite element exterior calculus, homological techniques, and applications. Acta Numer. 15 (2006) 1–155. [CrossRef] [MathSciNet] [Google Scholar]
- D. Boffi, M. Costabel, M. Dauge and L.F. Demkowicz, Discrete compactness for the hp version of rectangular edge finite elements. ICES Report 04–29 (2004). [Google Scholar]
- A. Bossavit, Computational Electromagnetism. Academic Press, New York (1998). [Google Scholar]
- A. Bossavit, Generating Whitney forms of polynomial degree one and higher. IEEE Trans. Magn. 38 (2002) 341–344. [CrossRef] [Google Scholar]
- A. Bossavit and F. Rapetti, Whitney forms of higher degree. Preprint. [Google Scholar]
- V. Girault and P.A. Raviart, Finite element methods for Navier-Stokes equations. Springer-Verlag, Berlin (1986). [Google Scholar]
- J. Gopalakrishnan, L.E. Garcia-Castillo and L.F. Demkowicz, Nédélec spaces in affine coordinates. ICES Report 03–48 (2003). [Google Scholar]
- R.D. Graglia, D.R. Wilton and A.F. Peterson, Higher order interpolatory vector bases for computational electromagnetics. IEEE Trans. on Ant. and Propag. 45 (1997) 329–342. [CrossRef] [Google Scholar]
- R. Hiptmair, Canonical construction of finite elements. Math. Comp. 68 (1999) 1325–1346. [Google Scholar]
- R. Hiptmair, High order Whitney forms. Prog. Electr. Res. (PIER) 32 (2001) 271–299. [CrossRef] [Google Scholar]
- G.E. Karniadakis and S.J. Sherwin, Spectral hp element methods for CFD. Oxford Univ. Press, London (1999). [Google Scholar]
- J.M. Melenk, On condition numbers in hp-FEM with Gauss-Lobatto-based shape functions. J. Comput. Appl. Math. 139 (2002) 21–48. [CrossRef] [MathSciNet] [Google Scholar]
- P. Monk, Finite Element Methods for Maxwell's Equations. Oxford University Press (2003). [Google Scholar]
-
J.C. Nédélec, Mixed finite elements in
. Numer. Math. 35 (1980) 315–341.
[CrossRef]
[MathSciNet]
[Google Scholar]
- F. Rapetti and A. Bossavit, Geometrical localization of the degrees of freedom for Whitney elements of higher order. IEE Sci. Meas. Technol. 1 (2007) 63–66. [CrossRef] [Google Scholar]
- J. Schöberl and S. Zaglmayr, High order Nédélec elements with local complete sequence properties. COMPEL 24 (2005) 374–384. [CrossRef] [MathSciNet] [Google Scholar]
- J. Stillwell, Classical topology and combinatorial group theory, Graduate Text in Mathematics 72. Springer-Verlag (1993). [Google Scholar]
- J.P. Webb and B. Forghani, Hierarchal scalar and vector tetrahedra. IEEE Trans. on Magn. 29 (1993) 1495–1498. [CrossRef] [Google Scholar]
- H. Whitney, Geometric integration theory. Princeton Univ. Press (1957). [Google Scholar]
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