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A Space-Time Discontinuous Galerkin Method for Elastodynamic Analysis

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Discontinuous Galerkin Methods

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 11))

Abstract

We present a new space-time discontinuous Galerkin formulation for elastodynamics. The method allows for jumps in the field variables across inter-element boundaries with arbitrary orientation. The resulting method is locally conservative and admits a direct element-by-element solution procedure.

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References

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Author information

Authors and Affiliations

  1. University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA

    Lin Yin, Amit Acharya, Nahil Sobh, Robert B. Haber & Daniel A. Tortorelli

  2. Department of Theoretical & Applied Mechanics, USA

    Lin Yin, Nahil Sobh & Robert B. Haber

  3. Center for Simulation of Advanced Rockets, USA

    Lin Yin, Amit Acharya, Nahil Sobh, Robert B. Haber & Daniel A. Tortorelli

  4. Center for Process Simulation and Design, USA

    Nahil Sobh, Robert B. Haber & Daniel A. Tortorelli

  5. Department of Mechanical & Industrial Engineering, USA

    Daniel A. Tortorelli

Authors
  1. Lin Yin
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  2. Amit Acharya
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  3. Nahil Sobh
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  4. Robert B. Haber
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  5. Daniel A. Tortorelli
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Editor information

Editors and Affiliations

  1. School of Mathematics, University of Minnesota, 206 Church Street S.E., Minneapolis, MN, 55455, USA

    Bernardo Cockburn

  2. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    George E. Karniadakis  & Chi-Wang Shu  & 

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© 2000 Springer-Verlag Berlin Heidelberg

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Yin, L., Acharya, A., Sobh, N., Haber, R.B., Tortorelli, D.A. (2000). A Space-Time Discontinuous Galerkin Method for Elastodynamic Analysis. In: Cockburn, B., Karniadakis, G.E., Shu, CW. (eds) Discontinuous Galerkin Methods. Lecture Notes in Computational Science and Engineering, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59721-3_48

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  • DOI: https://doi.org/10.1007/978-3-642-59721-3_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64098-8

  • Online ISBN: 978-3-642-59721-3

  • eBook Packages: Springer Book Archive

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