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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References
Roy, R.: Craig. Coupling of substructures for dynamic analyses: an overview. In: Structures, Structural Dynamics and Material Conference, Atlanta, April 3-6, 41st AIAA/ASME/ASCE/AHS/ASC. AIAA-2000-1573 (2000)
Fransen, S.H.: Data Recovery Methodologies for Reduced Dynamic Substructure Models with Internal Loads. Am. Inst. Aero. Astro. J. 42(10), 2130–2142 (2004)
Gosselet, P., Rey, C., Rixen, D.J.: On the initial estimate of interface forces in FETI methods. Int. J. Num. Meth. Eng. 192, 2749–2764 (2003)
Farhat, C., Roux, F.X.: Implicit parallel processing in structural mechanics. Computational Mechanics Advances 2(1), 1–124 (1994)
Géradin, M., Rixen, D.: Mechanical Vibrations. In: Theory and Application to Structural Dynamics, 2nd edn., Wiley & Sons, Chichester (1997)
Craig, R.R., Bampton, M.C.C.: Coupling of substructures for dynamic analysis. Am. Inst. Aero. Astro. J. 6(7), 1313–1319 (1968)
Rixen, D.: A Dual Craig-Bampton Method for Dynamic Substructuring. J. Comp. App. Math. 168(1-2), 383–391 (2004)
Rixen, D.: Encyclopedia of Vibration, chapter Parallel Computation, pp. 990–1001. Academic Press, London (2002) isbn 0-12-227085-1
Bennighof, J.K., Lehoucq, R.B.: An automated multilevel substructuring method for eigenspace computation in linear elastodynamics. SIAM J. Sc. Computing (2002), http://www.cs.sandia.gov/ rlehoucq/papers.html
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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
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