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An optimization technique for the solution of the Signorini problem using the boundary element method

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Abstract.

We present an optimization technique for the numerical solution of the Signorini problem for the Laplacian via boundary element discretization. The discretized problem is a mixed linear complementarity problem with potential and flux at the contact region as complementary variables. This complementarity problem is reformulated as a bilinear optimization program, which we solve with an interior point algorithm. Numerical results for a test problem and a comparison with another solution technique are given.

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Authors and Affiliations

  1. Institute of Mathematics, Federal University of Rio de Janeiro, 21945 970, Rio de Janeiro, RJ, Brazil e-mail: anatoli@dmm.im.ufrj.br, , , , , , BR

    A. Leontiev

  2. Mathematical Department, State University of Norte Fluminense, 28015 620, Campos dos Goytacazes, RJ, Brazil e-mail: wilma@uenf.br, , , , , , BR

    W. Huacasi

  3. Mechanical Engineering Program, COPPE/Federal University of Rio de Janeiro, 21945 970, Rio de Janeiro, RJ, Brazil e-mail: jose@com.ufrj.br, , , , , , BR

    J. Herskovits

Authors
  1. A. Leontiev
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  2. W. Huacasi
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  3. J. Herskovits
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Received February 9, 2001

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Leontiev, A., Huacasi, W. & Herskovits, J. An optimization technique for the solution of the Signorini problem using the boundary element method. Struct Multidisc Optim 24, 72–77 (2002). https://doi.org/10.1007/s00158-002-0215-1

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  • DOI: https://doi.org/10.1007/s00158-002-0215-1

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