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Continuation and multi-grid for nonlinear elliptic systems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1228)

Abstract

Recently the authors have developed and successfully applied a continuation technique for the numerical solution of parameter-dependent nonlinear elliptic boundary value problems. The method was integrated into an existing multi-grid package based on an adaptive finite element discretization. An extension to nonlinear systems of differential equations is considered. Since one important field of application is the VLSI device simulation we discuss this problem and present preliminary numerical results for a MOSFET device.

Keywords

  • Continuation Method
  • Device Simulation
  • Single Precision
  • Nonlinear Elliptic System
  • Continuation Technique

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

The work of the first author was supported by the Office of Naval Research under Grant N00014-82-K-0197. The second author was supported by the Air Force Office of Scientific Research under Grant AFOSR-84-0315.

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References

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© 1986 Springer-Verlag

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Bank, R.E., Mittelmann, H.D. (1986). Continuation and multi-grid for nonlinear elliptic systems. In: Hackbusch, W., Trottenberg, U. (eds) Multigrid Methods II. Lecture Notes in Mathematics, vol 1228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072639

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  • DOI: https://doi.org/10.1007/BFb0072639

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17198-0

  • Online ISBN: 978-3-540-47372-5

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