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Concepts for a Dimension Independent Application of Multigrid Algorithms to Semiconductor Device Simulation

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Robust Multi-Grid Methods

Part of the book series: Notes on Numerical Fluid Mechanics ((NNFM,volume 23))

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Summary

The Solution of semiconductor device equations requires fast and flexible numerical algorithms. It is shown that a program construction based on multigrid methods combined with structured programming techniques helps to overcome the computational bottleneck apparent in 3 dimensional problems. In our approach, modified classical multigrid methods have been incorporated into a program using a tree structured data Organization. Thus, a space dimension independent formulation of grid transfer Operations and adaptive grid refinement techniques can be introduced. The program code is independent of the domain configuration as well as the problem dimension. This flexibility is inherent in the underlying data structure which is operated and manipulated by the program.

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Wolfgang Hackbusch

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© 1989 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Conradi, P., Schröder, D. (1989). Concepts for a Dimension Independent Application of Multigrid Algorithms to Semiconductor Device Simulation. In: Hackbusch, W. (eds) Robust Multi-Grid Methods. Notes on Numerical Fluid Mechanics, vol 23. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-86200-6_4

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  • DOI: https://doi.org/10.1007/978-3-322-86200-6_4

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-08097-6

  • Online ISBN: 978-3-322-86200-6

  • eBook Packages: Springer Book Archive

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