Skip to main content
Log in

An asymptotic regularization method for coefficient identification of a generalized nonhomogeneous Helmholtz equation

  • Published:
Japan Journal of Industrial and Applied Mathematics Aims and scope Submit manuscript

Abstract

We apply an asymptotic regularization method to solve a coefficient identification problem for a generalized nonhomogeneous Helmholtz equation. Convergence of the method is shown.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D.D. Any and L.K. Vy, Coefficient identification for an inhomogeneous Helmholtz equation by asymptotic regularization. Inverse Problems,8 (1992), 509–523.

    Article  MathSciNet  Google Scholar 

  2. J. Chen, and W. Han and F. Schulz, A regularization method for coefficient identification of an nonhomogeneous Helmholtz equation. Inverse Problems,10 (1994), 1115–1121.

    Article  MATH  MathSciNet  Google Scholar 

  3. M. Chipot, Variational Inequalities and Flow in Porous Media. Springer-Verlag, New York, 1984.

    MATH  Google Scholar 

  4. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory. Springer-Verlag, New York, 1993.

    Google Scholar 

  5. K.H. Hoffmann and J. Sprekels, On the identification of elliptic problems by asymptotic regularization. Numer. Funct. Anal. Optim.,7 (1984/85), 157–178.

    Article  MATH  MathSciNet  Google Scholar 

  6. K.H. Hoffmann and J. Sprekels, The method of asymptotic regularization and restricted parameter identification problems in variational inequalities. Free Boundary Problems: Applications and Theory, IV (eds. A. Bossavit, A. Damlamian and M. Fremond), Research Notes in Mathematics,121, Pitman Advanced Publishing Program. London, 1985.

    Google Scholar 

  7. K.H. Hoffmann and J. Sprekels, On the identification of parameters in general variational inequalities by asymptotic regularization. SIAM J. Math. Anal.,17 (1986), 1198–1217.

    Article  MATH  MathSciNet  Google Scholar 

  8. J.L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires. Dunod-Gauthier Villars, Paris, 1969.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Chen, J., Han, W. & Schulz, F. An asymptotic regularization method for coefficient identification of a generalized nonhomogeneous Helmholtz equation. Japan J. Indust. Appl. Math. 13, 51–61 (1996). https://doi.org/10.1007/BF03167298

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03167298

Key words

Navigation