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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 1
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Original Articles

Adaptive algorithm for an inverse electromagnetic scattering problem

Larisa Beilina Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, NorwayCorrespondence[email protected]
,
Marte P. Hatlo Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway
&
Harald E. Krogstad Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway
Pages 15-28 | Received 19 Feb 2008, Accepted 15 Apr 2008, Published online: 21 May 2009

References

  • Beilina , L . 2002 . Adaptive FEM method for an inverse scattering problem . J. Inverse Prob. Inform. Technol. , 1 : 73 – 116 .
  • Beilina , L . 2003 . “ Adaptive Finite Element/Difference Methods for Time-dependent Inverse Scattering Problems ” . In PhD thesis , Department of Computational Mathematics, Chalmers University of Technology .
  • Beilina , L . 2003 . Adaptive Hybrid Finite Element/Difference methods: application to inverse elastic scat- tering . J. Inverse Prob. Inform. Technol. , 6 : 535 – 618 .
  • Beilina , L and Clason , C . 2006 . An adaptive hybrid fem/fdm method for an inverse scattering problem in scanning acoustic microscopy . J. SIAM Sci. Comp. , 28 : 382 – 402 .
  • Beilina , L and Johnson , C . 2001 . “ A Hybrid FEM/FDM Method for an inverse scattering problem ” . In Numerical Mathematics and Advanced Applications–ENUMATH 2001 , Springer-Verlag .
  • Beilina , L and Johnson , C . 2005 . A posteriori error estimation in computational inverse scattering . J. Math. Models Methods Appl. Sci. , 15 : 23 – 37 .
  • Becker , R and Rannacher , R . 2001 . An Optimal Control Approach to a posteriori Error Estimation in Finite Element Methods . Acta Numer. , 37 : 1 – 225 .
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  • Engquist , B and Majda , A . 1977 . Absorbing boundary conditions for the numerical simulation of waves . Math. Comp. , 31 : 629 – 651 .
  • Beilina , L , Samuelsson , K and Åhlander , K . Efficiency of a hybrid method for the wave equation . International Conference on Finite Element Methods, Gakuto International Series Mathematical Sciences and Applications . 2001 . Gakkotosho CO., Ltd .
  • Beilina , L , Hatlo , MP and Krogstad , HE . 2007 . Error estimates in inverse electromagnetic scattering. Technical Report N10 , Norway : NTNU .
  • Nocedal , J . 1991 . Updating quasi-newton matrices with limited storage . J. Math. Comp. , 35 : 773 – 782 .
  • Pironneau , O . 1984 . Optimal Shape Design for Elliptic Systems , Berlin : Springer Verlag .

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