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- W2769366842 abstract "The present article is dedicated to the solution of elliptic boundary value problems on random domains. We apply a high-precision second order shape Taylor expansion to quantify the impact of the random perturbation on the solution. Thus, we obtain a representation of the solution with third order accuracy in the size of the perturbation's amplitude. The major advantage of this approach is that we end up with purely deterministic equations for the solution's moments. In particular, we derive representations for the first four moments, i.e., expectation, variance, skewness and kurtosis. These moments are efficiently computable by means of boundary integral equations. Numerical results are presented to validate the presented approach." @default.
- W2769366842 created "2017-12-04" @default.
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- W2769366842 date "2018-03-01" @default.
- W2769366842 modified "2023-10-14" @default.
- W2769366842 title "The second order perturbation approach for elliptic partial differential equations on random domains" @default.
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- W2769366842 doi "https://doi.org/10.1016/j.apnum.2017.11.002" @default.
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