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A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity

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In this paper we describe and analyse a numerical method that detects singular minimizers and avoids the Lavrentiev phenomenon for three dimensional problems in nonlinear elasticity. This method extends to three dimensions the corresponding one dimensional method of Ball and Knowles.

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Authors and Affiliations

  1. Department of Mathematics, University of Puerto Rico, 00931, Rio Piedras, Puerto Rico, USA

    Pablo V. Negrón Marrero

  2. Department of Mathematics, Heriot-Watt University, Riccarton, EH144AS, Edinburgh, Scotland

    Pablo V. Negrón Marrero

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  1. Pablo V. Negrón Marrero
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Negrón Marrero, P.V. A numerical method for detecting singular minimizers of multidimensional problems in nonlinear elasticity. Numer. Math. 58, 135–144 (1990). https://doi.org/10.1007/BF01385615

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