Stochastic Relaxation of Variational Integrals with Non-attainable Infima

Dennis D. Cox (), Petr Klouček (), Daniel R. Reynolds and Pavel Šolín ()
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Dennis D. Cox: Rice University, Department of Statistics
Petr Klouček: Rice University, Department of Computational and Applied Mathematics
Daniel R. Reynolds: Lawrence Livermore National Laboratory, Center for Applied Scientific Computing
Pavel Šolín: Rice University, Department of Computational and Applied Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 239-249 from Springer

Abstract: Summary We provide an example of a stochastic approach to relaxation of the variational integrals with non-attainable infima in one dimension. We provide an approximation for the coefficients of the Laplace transformation of the Probability Density Function. This approaximation yields the relaxing microstructures.

Keywords: Stochastic Differential Equation; Material Phase Change; Differential Inclusion; Variational Integral; Stochastic Relaxation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_21

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DOI: 10.1007/978-3-642-18775-9_21

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