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Some boundary control problems and computation for the linear elastostatic kirchhoff plate on an exterior domain

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Boundary Control and Boundary Variation

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 178))

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Abstract

Boundary control of a distributed parameter system on an exterior unbounded domain arises naturally in applications. The questions of existence and uniqueness of solutions for such exterior boundary value problems are very different from those posed on the bounded domains. Also, computationally the unboundedness of the exterior domain causes numerical difficulty. The boundary integral equation and boundary element methods are well suited to tackle such problems. In this paper, we first formulate a combined simple-double layer solution to the elastostatic Kirchhoff plate equation on an exterior domain, and then use boundary elements to compute numerical solutions of linear-quadratic boundary control problems. Computer graphics results are illustrated and discussed.

Supported in part by the United States Air Force Office of Scientific Research Grant 870334

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References

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, 77843, College Station, TX

    Goong Chen & Jianxin Zhou

Authors
  1. Goong Chen
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  2. Jianxin Zhou
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Jean Paul Zoléesio

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© 1992 International Federation for Information Processing

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Chen, G., Zhou, J. (1992). Some boundary control problems and computation for the linear elastostatic kirchhoff plate on an exterior domain. In: Zoléesio, J.P. (eds) Boundary Control and Boundary Variation. Lecture Notes in Control and Information Sciences, vol 178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006689

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  • DOI: https://doi.org/10.1007/BFb0006689

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55351-9

  • Online ISBN: 978-3-540-47029-8

  • eBook Packages: Springer Book Archive

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