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Generalized Pulse—Spectrum Technique for Solving Inverse Problems in Microwave Heating

Published online by Cambridge University Press:  28 February 2011

Y. M. Chen  and
Franklin F. Y. Wang
Y. M. Chen
Affiliation:
Department of Applied Mathematics and Statistics, SUNY at Stony Brook, Stony Brook, NY 11794
Franklin F. Y. Wang
Affiliation:
Department of Materials Science and Engineering, SUNY at Stony Brook, Stony Brook, NY 11794
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Abstract

The Generalized Pulse—Spectrum Technique (GPST), a versatile, efficient and stable Newton-like iterative numerical inversion algorithm with Tikhonov regularization. GPSThas been been successfully applied to many practical inverse problems, including the inverse problems of equations of the diffusion type. Methodology in applying GPST for solving the inverse problems in microwave heating of ceramic samples is described.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 189: Symposium L – Microwave Processing of Materials II , 1990 , 207
Copyright
Copyright © Materials Research Society 1991

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References

REFERENCES

1. Kuczynski, G. C., Z. Metallkunde 67, 606 (1976).Google Scholar
2. Landauer, R., J. Appl. Phys. 23, 779–784 (1952).Google Scholar
3. Reich, H. J., Ordung, P. F., Krauss, H. L., and Skalnik, J. G., Microwave Theory and Techniques, Van Nostrand, NJ (1953), p. 64–110.Google Scholar
4. Tsien, D. S. and Chen, Y. M., Computation Methods in Nonlinear Mechanics, Univ. of Texas, Austin (1974), p.935–943.Google Scholar
5. Tikhonov, A. N. and Arsenin, V. Y., Solution of III - Posed Problems, John Wiley & Sons, NY (1977).Google Scholar
6. Chen, Y. M. and Liu, J. Q., J. Comput. Phys. 43, 315–326 (1981).Google Scholar
7. Liu, J. Q. and Chen, Y. M., SIAM J. Sci. Comput. 5, 255–269 (1984).Google Scholar
8. Chen, Y. M. and Liu, J. Q., J. Comput. Phys. 53, 429–442 (1984).Google Scholar
9. Tang, Y. N. and Chen, Y. M., Advances in Computer Methods for Partial Differential Equations - V, ed. by Vichnevetsky, R. and Stepleman, R., IMACS (1984), p. 433–439.Google Scholar
10. Liu, X. Y. and Chen, Y. M., SIAM J. Sci. Stat. Comput. 8, 436–445 (1987).Google Scholar
11. Tang, Y. N., Chen, Y. M., Chen, W. H., and Wasserman, M. L., Appl. Numer. Math. 5, 529–539 (1989).Google Scholar
12. Chen, Y. M., Zhu, J. P., Chen, W. H., and Wasserman, M. L., IMACS Trans. Scientific Computing -'88 V. 1.1 & 1.2: Numerical and Applied Mathematics, ed. by Ames, W. F. and Brezinski, C. (1990).Google Scholar
13. Zhu, J. P. and Chen, Y. M.,“GPST for history matching in 1-parameter 3-D 3-phase simulator models (in preparation).Google Scholar