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Continuum Shape Design Sensitivity of Electrostatic System

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Design Sensitivity Analysis and Optimization of Electromagnetic Systems

Abstract

The electrostatic system is composed of dielectric material , electric charge, and electrodes.

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References

  1. Choi, K.K., Kim, N.H.: Structural Sensitivity Analysis and Optimization 1: Linear Systems. Springer, New York (2005)

    Google Scholar 

  2. Haug, E.J., Choi, K.K., Komkov, V.: Design Sensitivity Analysis of Structural Systems. Academic Press, Orlando (1988)

    MATH  Google Scholar 

  3. Lai, W.M., Rubin, D., Krempl, E.: Introduction to Continuum Mechanics. Pergamon Press, Oxford (1978)

    MATH  Google Scholar 

  4. Neittaanmäki, P., Rudnicki, M., Savini, A.: Inverse Problems and Optimal Design in Electricity and Magnetism. Clarendon Press, Oxford (1996)

    MATH  Google Scholar 

  5. Korovkin, N.V., Chechurin, V.L., Hayakawa, M.: Inverse Problems in Electric Circuits and Electromagnetics. Springer, Boston (2007)

    MATH  Google Scholar 

  6. Hinze, M., Pinnau, R., Ulbrich, M., Ulbrich, S.: Optimization with PDE Constraints. Springer, Heidelberg (2009)

    MATH  Google Scholar 

  7. Choi, K.K., Seong, H.G.: Design component method for sensitivity analysis of built-up structures. J. Struct. Mech. 14, 379–399 (1986)

    Article  Google Scholar 

  8. Dems, K., Mróz, Z.: Variational approach by means of adjoint systems to structural optimization and sensitivity analysis—I: variation of material parameters within fixed domain. Int. J. Solids Struct. 19, 677–692 (1983)

    Article  MathSciNet  Google Scholar 

  9. Dems, K., Mróz, Z.: Variational approach by means of adjoint systems to structural optimization and sensitivity analysis—II: structure shape variation. Int. J. Solids Struct. 20, 527–552 (1984)

    Article  MathSciNet  Google Scholar 

  10. Woodson, H.H., Melcher, J.R.: Electromechanical Dynamics. Wiley, New York (1968)

    Google Scholar 

  11. Lee, K.H., Choi, C.Y., Park, I.H.: Continuum sensitivity analysis and shape optimization of Dirichlet conductor boundary in electrostatic system. IEEE Trans. Magn. 54, 9400804 (2018)

    Google Scholar 

  12. Lee, K.H., Seo, K.S., Choi, H.S., Park, I.H.: Multiple level set method for multi-material shape optimization in electromagnetic system. Int. J. Appl. Electromagn. Mech. 56, 183–193 (2018)

    Article  Google Scholar 

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Correspondence to Il Han Park .

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Park, I. (2019). Continuum Shape Design Sensitivity of Electrostatic System. In: Design Sensitivity Analysis and Optimization of Electromagnetic Systems. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-0230-5_3

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  • DOI: https://doi.org/10.1007/978-981-13-0230-5_3

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0229-9

  • Online ISBN: 978-981-13-0230-5

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