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Numerical approximation of non-homogeneous, non-convex vector variational problems

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Summary.

In this paper we study a numerical scheme for non-convex vector variational problems allowing for microstructure, based on the approximation of gradient Young measures. We present a convergence result and some numerical experiments.

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Authors and Affiliations

  1. Departamento de Matemáticas, ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain; e-mail: {earanda,ppedrega}@ind-cr.uclm.es , , , , , , ES

    Ernesto Aranda & Pablo Pedregal

Authors
  1. Ernesto Aranda
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  2. Pablo Pedregal
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Received March 26, 2000 / Revised version received November 13, 2000 / Published online March 20, 2001

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Aranda, E., Pedregal, P. Numerical approximation of non-homogeneous, non-convex vector variational problems. Numer. Math. 89, 425–444 (2001). https://doi.org/10.1007/PL00005473

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  • DOI: https://doi.org/10.1007/PL00005473