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Theoretical Relations Between Domain Decomposition and Dynamic Substructuring

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Applied Parallel Computing. State of the Art in Scientific Computing (PARA 2004)

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Abstract

Domain decomposition methods used for solving linear systems are strongly related to dynamic substructuring methods commonly used to build a reduced model. In this study we investigate some theoretical relations between the methods. In particular we discuss the conceptual similarities between the Schur Complement solvers and the Craig-Bampton substructuring techniques, both for their primal and dual form.

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© 2006 Springer-Verlag Berlin Heidelberg

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Rixen, D.J. (2006). Theoretical Relations Between Domain Decomposition and Dynamic Substructuring. In: Dongarra, J., Madsen, K., Waśniewski, J. (eds) Applied Parallel Computing. State of the Art in Scientific Computing. PARA 2004. Lecture Notes in Computer Science, vol 3732. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558958_40

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  • DOI: https://doi.org/10.1007/11558958_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29067-4

  • Online ISBN: 978-3-540-33498-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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