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An iterative approach for cone complementarity problems for nonsmooth dynamics

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Abstract

Aiming at a fast and robust simulation of large multibody systems with contacts and friction, this work presents a novel method for solving large cone complementarity problems by means of a fixed-point iteration. The method is an extension of the Gauss-Seidel and Gauss-Jacobi method with overrelaxation for symmetric convex linear complementarity problems. The method is proved to be convergent under fairly standard assumptions and is shown by our tests to scale well up to 500,000 contact points and more than two millions of unknowns.

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Authors and Affiliations

  1. Mathematics and Computer Science Division, Argonne National Laboratory, 9700 South Cass Avenue, Argonne, IL, 60439, USA

    Mihai Anitescu

  2. Dipartimento di Ingegneria Industriale, Università degli Studi di Parma, 43100, Parma, Italy

    Alessandro Tasora

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  1. Mihai Anitescu
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  2. Alessandro Tasora
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Correspondence to Mihai Anitescu.

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Anitescu, M., Tasora, A. An iterative approach for cone complementarity problems for nonsmooth dynamics. Comput Optim Appl 47, 207–235 (2010). https://doi.org/10.1007/s10589-008-9223-4

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  • DOI: https://doi.org/10.1007/s10589-008-9223-4

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