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A Priori Estimates for Multiphysics Models in Electric Circuit Design

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Progress in Industrial Mathematics at ECMI 2002

Part of the book series: The European Consortium for Mathematics in Industry ((TECMI,volume 5))

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Summary

We consider a linear electric network which contains a one-dimensional bipolar semiconductor device. The device is modeled by steady-state drift-diffusion equations. We prove a priori estimates which ensure existence of solutions to this coupled problem. A brief sketch of the existence proof is reported.

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References

  1. All, G., Bartel, A., Günther, M., Tischendorf, C.: Elliptic partial differential-algebraic multiphysics models in electrical network design. M3AS, 13: 9, 1261–1278 (2003).

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  2. Günther, M.: A PDAE model for interconnected linear RLC networks. Math. and Computer Modelling of Dynamical Systems, 7, 189–203 (2001).

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  3. Markowich, P.A.: The Stationary Semiconductor Device Equations. Springer-Verlag, Wien (1986).

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  4. Tischendorf, C.: Topological index calculation of differential-algebraic equations in circuit simulation. Surv. Math. Ind., 8, 187–199 (1999).

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© 2004 Springer-Verlag Berlin Heidelberg

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Alì, G., Bartel, A. (2004). A Priori Estimates for Multiphysics Models in Electric Circuit Design. In: Buikis, A., Čiegis, R., Fitt, A.D. (eds) Progress in Industrial Mathematics at ECMI 2002. The European Consortium for Mathematics in Industry, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09510-2_19

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  • DOI: https://doi.org/10.1007/978-3-662-09510-2_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07262-8

  • Online ISBN: 978-3-662-09510-2

  • eBook Packages: Springer Book Archive

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