Integral equations via saddle point problem for 2D electromagnetic problems

Nathalie Bartoli; Francis Collino

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2000)

  • Volume: 34, Issue: 5, page 1023-1049
  • ISSN: 0764-583X

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Bartoli, Nathalie, and Collino, Francis. "Integral equations via saddle point problem for 2D electromagnetic problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 34.5 (2000): 1023-1049. <http://eudml.org/doc/194019>.

@article{Bartoli2000,
author = {Bartoli, Nathalie, Collino, Francis},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {saddle point problems; radar cross section; integral equation; two-dimensional scattering; asymptotic analysis; algorithms; thin dielectric layer},
language = {eng},
number = {5},
pages = {1023-1049},
publisher = {Dunod},
title = {Integral equations via saddle point problem for 2D electromagnetic problems},
url = {http://eudml.org/doc/194019},
volume = {34},
year = {2000},
}

TY - JOUR
AU - Bartoli, Nathalie
AU - Collino, Francis
TI - Integral equations via saddle point problem for 2D electromagnetic problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2000
PB - Dunod
VL - 34
IS - 5
SP - 1023
EP - 1049
LA - eng
KW - saddle point problems; radar cross section; integral equation; two-dimensional scattering; asymptotic analysis; algorithms; thin dielectric layer
UR - http://eudml.org/doc/194019
ER -

References

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  2. [2] N. Bartoli, Higher Order Effective Boundary Conditions for Perfectly Conducting Scatterers Coated by a thin Dielectric Layer. PhD thesis, INSA, Toulouse (to appear). Zbl1029.78004
  3. [3] N. Bartoli and A. Bendali, Higher order effective boundary conditions for perfectly conducting scatterers coated by a thin dielectric layer and their boundary element solution (to be submitted). Zbl1029.78004
  4. [4] A. Bendali, Boundary element solution of scattering problems relative to a gêneralized impedance boundary condition, in Partial differential equations, Theory and numerical solution, W. Jâger, J. Necas, O. John, K. Najzar and J, Stara, Eds. Chapman & Hall/CRC, 406 (1999) 10-24. Zbl0937.78015MR1713870
  5. [5] A. Bendali and L. Vernhet, Résolution par éléments finis de frontière d'un problème de diffraction d'onde comportant une condition aux limites d'impédance généralisée. C. R. Acad. Sci. Paris, 321 (1995) 791-797. Zbl0837.65130MR1354727
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  8. [8] G. Chen and J. Zhou, in Boundary element Methods. Academic Press, London (1992). Zbl0842.65071MR1170348
  9. [9] F. Collino and B. Després, Integral equations via saddle point problems for time-harmonie Maxwell's equations. SIAM J. Appl. Math, (submitted). Zbl1016.65110
  10. [10] D. Colton and R. Kress, in Inverse Acoustic and Electromagnetic Scattering Theory, 93, Springer-Verlag (1992). Zbl0760.35053MR1183732
  11. [11] B. Després, Quadractic functional and integral equations for harmonie wave problems in exterior domains. RAIRO-Modél. Math. Anal. Numér. 31 (1997) 679-732. Zbl0890.65131MR1485752
  12. [12] V. Frayssé, L. Giraud and S. Gratton, A set of GMRES routines for real and complex arithmetics. Technical report, Cerfacs TR/PA/97/49, Toulouse, France (1997). Zbl1070.65527
  13. [13] V. Girault and P.A. Raviart, in Finite Element methods for Navier-Stohes Equations, Theory and Algorithms, 5, Springer-Verlag (1986). Zbl0585.65077MR851383
  14. [14] G.H. Golub and C.F. Van Loan, in Matrix Commutations, 3rd edn., Chap. 9-10, The Johns Hopkins University Press, Baltimore (1996). Zbl0865.65009
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  16. [16] Y. Saad, in Iterative methods for sparse linear Systems. PWS publishing (1995). Zbl1031.65047

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