Analysis of the domain mapping method for elliptic diffusion problems on random domains

Abstract

In this article, we provide a rigorous analysis of the solution to elliptic diffusion problems on random domains. In particular, based on the decay of the Karhunen-Loève expansion of the domain perturbation field, we establish decay rates for the derivatives of the random solution that are independent of the stochastic dimension. For the implementation of a… (More)
DOI: 10.1007/s00211-016-0791-4

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