Skip to main content

Utilization of CANM for magnetic field calculation

  • Conference paper
  • First Online:
  • 254 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1196))

Abstract

Iterative schemes based on continuous analogue of the Newton's method have been successfully used in computational modeling of various nonlinear physical problems. The paper concerns the utilization of this method to solve magnetostatic field equations. The extended convergence domain of the method makes possible to construct fast, reliable, robust iteration scheme for magnetic field calculations. Data illustrated convergence of the scheme are presented.

Authors are grateful to Russian Foundation for Basic Research RFBR (Grant 95-01-01467a) for support.

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Zhidkov E.P., Makarenko G.I., Puzynin I.V.: A continuous analog of Newton's method in nonlinear problem of physics. J.Part.Nucl. 4 1 (1973) 127–166

    Google Scholar 

  2. Dimova S.N., Kaschiev M.S., Koleva M.G., Vasileva D.P.: Numerical analysis of the blow up regimes of combustion of two-component nonlinear heat-conducting medium. Comput. Math.and Math.Phys. 35 (1995) 380–399

    Google Scholar 

  3. Ayrian E.A., Fedorov A.V., Yuldashev O.I., Zhidkov E.P.: One approach for coupling FEM and BEM. Proceedings of ISNA'92, Part III. Contributed Papers (1992) 12–19

    Google Scholar 

  4. Ayrian E.A., Zhidkov E.P., Fedorov A.V., Khoromskii B.N., Shelaev I.A., Yudin I.P., Yuldashev O.I.: Numerical algorithms for particle accelerator magnetic system calculations. J.Part.Nucl. 21 1 (1990) 251–307

    Google Scholar 

  5. Puzynin I.V. and Zhanlav T.: On convergency of iteration on the basis of Continuous analogue of Newton method. Comput. Math.and Math.Phys. 32 (1992) 846–856

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Lubin Vulkov Jerzy Waśniewski Plamen Yalamov

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ayrian, E.A., Fedorov, A.V. (1997). Utilization of CANM for magnetic field calculation. In: Vulkov, L., Waśniewski, J., Yalamov, P. (eds) Numerical Analysis and Its Applications. WNAA 1996. Lecture Notes in Computer Science, vol 1196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62598-4_76

Download citation

  • DOI: https://doi.org/10.1007/3-540-62598-4_76

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62598-8

  • Online ISBN: 978-3-540-68326-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics