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Workgroup on Inverse Problems

Secretariat
Allianz-Gebäude (05.20)
Room 4C-20.2

Address
Kaiserstr. 93
Institute for Algebra and Geometry
76128 Karlsruhe

Office hours:
Mo. - Fr., 10:00 - 12:00 Uhr

Tel.: +49 (0)721 608 420 51

Fax.: +49 (0)721 608 469 68

Publications

  1. Convergence Analysis of a Coupled Finite Element and Expansion Method in Acoustic Scattering. (Mit P. Monk) IMA J. Num. Anal. 9 (1990), 425-447.
  2. Antenna Control and Optimization. (Mit T.S. Angell und R.E. Kleinman) Proc. of the IEEE 79 (1991), 1559-1568.
  3. An Approximation Problem in Inverse Scattering Theory. (Mit D. Colton) Appl. Analysis 41 (1991), 23-32.
  4. The Use of Polarization Effects in Electromagnetic Inverse Scattering Problems. (Mit D.L. Colton) Math. Meth. in the Apl. Sci. 15 (1992), 1-10.
  5. Three-Dimensional Earth Conductivity Inversion. (Mit Z. Xiong) JCAM 42 (1992), 109-122.
  6. Multicriteria Optimization in Antenna Design. (Mit T.S. Angell) Math. Meth. in the Appl. Sci. 15 (1992), 647-660.
  7. The Conductive Boundary Condition for Maxwell's Equations. (Mit T.S. Angell) SIAM J. Appl. Math. 52 (1992), 1597-1610.
  8. Remarks on Some Notions of Weak Solutions for the Helmholtz Equation. Appl. Anal. 47 (1992), 7-24.
  9. The Domain Derivative and Two Applications in Inverse Scattering Theory. Inverse Problems 9 (1993), 81-96.
  10. Uniqueness in Inverse Scattering. (Mit R. Kreß) Inverse Problems 9 (1993), 285-299.
  11. Diffraction by Periodic Structures. In: Inverse Problems in Mathematical Physics. (Hrg.: L. Päivärinta und E. Somersalo), Lecture Notes in Physics 422, Springer, 1993.
  12. Target Signatures for Imperfectly Conducting Obstacles at Fixed Frequency. (Mit D.L. Colton) Q. J. Mech. appl. Math. 47 (1994), 1-15.
  13. Uniqueness Theorems in Inverse Scattering Theory for Periodic Structures. Inverse Problems 10 (1994), 145-152.
  14. An Analysis of the Coupling of Finite Element and Nyström Methods in Acoustic Scattering. (Mit P. Monk) IMA J. Num. Anal. 14 (1994), 523-544.
  15. A Finite Element/Spectral Method for Approximating the Time Harmonic Maxwell System in Rn. (Mit P. Monk) SIAM J. Appl. Math. 55 (1995), 1324-1344.
  16. A Simple Method for Solving Inverse Scattering Problems in the Resonance Region.(Mit D. Colton) Inverse Problems 12 (1996), 383-393.
  17. Schiffer's Theorem in Inverse Scattering Theory for Periodic Structures. (Mit F. Hettlich) Inverse Problems 13 (1997), 351-361.
  18. A Bicriterial Optimization Problem of Antenna Design. (Mit A. Jüschke und J. Jahn) Comput. Optim. and Applic. 7 (1997), 261-276.
  19. Corrigendum to: ``A Finite Element/Spectral Method for Approximating the Time Harmonic Maxwell System in Rn. SIAM J. Appl. Math. 55 (1995), 1324-1344.'' (Mit P. Monk) SIAM J. Appl. Math. 58 (1998), 2024-2028.
  20. On Recovering Obstacles Inside Inhomogeneities. (Mit L. Päivärinta) Math. Meth. in the Appl. Sci. 21 (1998), 619-651.
  21. Characterization of the Scattering Obstacle by the Spectral Data of the Far Field Operator. Inverse Problems 14 (1998), 1489-1512.
  22. The Nyström Method for Solving a Class of Singular Integral Equations and Applications in 3D-Plate Elasticity. (Mit S. Ritter) Math. Meth. in the Appl. Sci. 22 (1999), 177-197.
  23. Factorization of the Far Field Operator for the Inhomogeneous Medium Case and an Application in Inverse Scattering Theory. Inverse Problems 15 (1999), 413-429.
  24. p7-ritter|A Linear Sampling Method for Inverse Scattering from an Open Arc. (Mit S. Ritter) Inverse Problems 16 (2000), 89-105.
  25. The Linear Sampling Method in Inverse Scattering Theory. (Mit D. Colton und P. Monk) In: Surveys on Solution Methods for Inverse Problems (Hrg.: D. Colton, H.W. Engl, A. Louis, J.R. McLaughlin, W. Rundell), Springer Vienna/New York, 2000.
  26. New Characterizations of Solutions in Inverse Scattering Theory. Applicable Analysis 76 (2000), 319-350.
  27. A Nyström Method for a Class of Integral Equations on the Real Line with Applications to Scattering by Diffraction Gratings and Rough Surfaces. (Mit A. Meier, T. Arens, S.N. Chandler-Wilde). J. Integral Equations And Applications 12 (2000), 281-321.
  28. The Linear Sampling Method in Inverse Obstacle Scattering for Impedance Boundary Conditions. (Mit N. Grinberg) Journal of Inverse and Ill-Posed Problems 10 (2002), 171-185.
  29. The MUSIC-Algorithm and the Factorization Method in Inverse Scattering Theory for Inhomogeneous Media. Inverse Problems 18 (2002), 1025-1040.
  30. A Finite Element Method for Approximating Electro-Magnetic Scattering from a Conducting Object (Mit P. Monk). Numerische Mathematik 92 (2002), 501-534.
  31. The Factorization Method in Inverse Scattering from Periodic Structures. (Mit T.\,Arens) Inverse Problems 19 (2003), 1195-1211.
  32. The Factorization Method for Obstacles with A-priori Separated Sound-Soft and Sound-Hard Parts. (Mit N.\,Grinberg) Mathematics and Computers in Simulation 66 (2004), 267-279.
  33. The Factorization Method for a Class of Inverse Elliptic Problems. Math. Nachrichten 278 (2005), 1-20.
  34. Schlecht gestellte Probleme - Oder wenn das Ungenaue genauer ist. (Mit U. Kirchgraber und D. Stoffer) Erscheint in: Mathematische Semesterberichte
  35. The Factorization Method for Maxwell's Equations. Erscheint in: Inverse Problems