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- W2963402958 abstract "In this article, we consider elliptic diffusion problems on random domains with non-smooth diffusion coefficients. We start by illustrating the problems that arise from a non-smooth diffusion coefficient by recapitulating the corresponding regularity analysis. Then, we propose an alternative approach to address this problem by means of a perturbation method. Based on the assumption that the diffusion coefficient can be decomposed into a possibly deterministic, analytic part and a rough random perturbation, we derive approximation results in terms of the perturbations amplitude for the approximation of quantities of interest of the solution. Numerical examples are given in order to validate and quantify the theoretical results." @default.
- W2963402958 created "2019-07-30" @default.
- W2963402958 creator A5069886499 @default.
- W2963402958 date "2019-11-01" @default.
- W2963402958 modified "2023-09-27" @default.
- W2963402958 title "A note on the domain mapping method with rough diffusion coefficients" @default.
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- W2963402958 doi "https://doi.org/10.1016/j.apnum.2019.06.013" @default.
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