# The BC-method in Multidimensional Spectral Inverse Problem: Theory and Numerical Illustrations

M. I. Belishev; V. Yu. Gotlib; S. A. Ivanov

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 2, page 307-327
- ISSN: 1292-8119

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topBelishev, M. I., Gotlib, V. Yu., and Ivanov, S. A.. "The BC-method in Multidimensional Spectral Inverse Problem: Theory and Numerical Illustrations." ESAIM: Control, Optimisation and Calculus of Variations 2 (2010): 307-327. <http://eudml.org/doc/197346>.

@article{Belishev2010,

abstract = {
This work is devoted to numerical experiments for multidimensional
Spectral Inverse Problems. We check the efficiency of the algorithm
based on the BC-method, which exploits relations between Boundary
Control Theory and Inverse Problems. As a test, the problem for an
ellipse is considered. This case is of interest due to the fact
that a field of normal geodesics loses regularity on a nontrivial
separation set. The main result is that the BC-algorithm works
quite successfully in spite of this complication. A theoretical
introduction to the BC-method is included.
},

author = {Belishev, M. I., Gotlib, V. Yu., Ivanov, S. A.},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Multidimensional inverse problem / Spectral data;
Recovering of a density / Boundary control theory / BC-method /
Geometrical optics / Numerical testing .; boundary control method; multidimensional spectral inverse problem; algorithm},

language = {eng},

month = {3},

pages = {307-327},

publisher = {EDP Sciences},

title = {The BC-method in Multidimensional Spectral Inverse Problem: Theory and Numerical Illustrations},

url = {http://eudml.org/doc/197346},

volume = {2},

year = {2010},

}

TY - JOUR

AU - Belishev, M. I.

AU - Gotlib, V. Yu.

AU - Ivanov, S. A.

TI - The BC-method in Multidimensional Spectral Inverse Problem: Theory and Numerical Illustrations

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 2

SP - 307

EP - 327

AB -
This work is devoted to numerical experiments for multidimensional
Spectral Inverse Problems. We check the efficiency of the algorithm
based on the BC-method, which exploits relations between Boundary
Control Theory and Inverse Problems. As a test, the problem for an
ellipse is considered. This case is of interest due to the fact
that a field of normal geodesics loses regularity on a nontrivial
separation set. The main result is that the BC-algorithm works
quite successfully in spite of this complication. A theoretical
introduction to the BC-method is included.

LA - eng

KW - Multidimensional inverse problem / Spectral data;
Recovering of a density / Boundary control theory / BC-method /
Geometrical optics / Numerical testing .; boundary control method; multidimensional spectral inverse problem; algorithm

UR - http://eudml.org/doc/197346

ER -

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