A novel method for solving multiscale elliptic problems with randomly perturbed data (Q2786361)

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scientific article; zbMATH DE number 5789902
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A novel method for solving multiscale elliptic problems with randomly perturbed data
scientific article; zbMATH DE number 5789902

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    22 September 2010
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    multiscale finite element method
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    elliptic equation
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    random perturbation
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    Neumann series
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    Monte Carlo method
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    parallel computation
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    algorithm
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    A novel method for solving multiscale elliptic problems with randomly perturbed data (English)
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    A method for an efficient solution of elliptic problems with multiscale features and randomly perturbed coefficients is proposed. The multiscale finite element method is used as a starting point and the authors derive an algorithm for solving a large number of multiscale problems in parallel. The method is intended to be used within a Monte Carlo framework where solutions corresponding to samples of the randomly perturbed data need to be computed.
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