2019
DOI: 10.1615/int.j.uncertaintyquantification.2019029046
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Numerical Approximation of Elliptic Problems With Log-Normal Random Coefficients

Abstract: In this work, we consider a non-standard preconditioning strategy for the numerical approximation of the classical elliptic equations with log-normal random coefficients. In [45], a Wick-type elliptic model was proposed by modeling the random flux through the Wick product. Due to the lower-triangular structure of the uncertainty propagator, this model can be approximated efficiently using the Wiener chaos expansion in the probability space. Such a Wick-type model provides, in general, a second-order approximat… Show more

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