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Solving Inverse Problems by Space Mapping with Inverse Difference Method

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Scientific Computing in Electrical Engineering SCEE 2008

Part of the book series: Mathematics in Industry ((TECMI,volume 14))

Abstract

The surrogate methods have been used to ease the computational burden in various disciplines. In this work, a surrogate method based on space mapping is proposed to solve inverse problems. Even though the efficiency of space mapping and its variants has been demonstrated in numerous work, using it for inverse problems is addressed for the first time in this work. The efficiency of the proposed method is demonstrated solving the shape reconstruction of a conducting cylinder.

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References

  1. Bandler, J.W., Cheng, Q.S., Dakroury, S.A., Mohamed, S.A., Bakir, M.H., Madsen K., Sondergaard, J.: Space Mapping : The State of the Art. IEEE Trans. on Microwave Theory and Tech. 52, 337–361 (2004)

    Article  Google Scholar 

  2. Simsek, M., Sengor, N.S.: A New Modelling Method Based on Difference between Fine and Coarse Models Using Space Mapping. Abstract Book of 2nd Int. Workshop SMSMEO-06, 64–65 (2006)

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  3. Simsek, M.: Novel Methods for Surrogate Optimization and Modeling Using Space Mapping Techniques. Ph.D. Thesis Report 2, Istanbul Technical University (2007)

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  4. Rayas-Sánchez, J.E., Lara-Rojo, F., Martinez-Guerrero, E.: A Linear Inverse Space-Mapping (LSIM) Algorithm to Design Linear and Nonlinear RF and Microwave Circuits. IEEE Trans. on Microwave Theory and Tech. 53, 960–368 (2005)

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  5. Tezel, N.S., Şimşek, C.: Neural Network Approach to Shape Reconstruction of a Conducting Cylinder. Istanbul University, Journal of Electrical and Electronics Eng. 7, 299–304 (2004)

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  6. Haykin, S.: Neural Networks-A Comprehensive Foundation. Prentice Hall (1999)

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Correspondence to Murat Şimsek .

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Şimsek, M., Şengör, N.S. (2010). Solving Inverse Problems by Space Mapping with Inverse Difference Method. In: Roos, J., Costa, L. (eds) Scientific Computing in Electrical Engineering SCEE 2008. Mathematics in Industry(), vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12294-1_56

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