Worst case scenario analysis for elliptic problems with uncertainty

Worst case scenario analysis for elliptic problems with uncertainty

Babuška, I.; Nobile, F.; Tempone, R. "Worst case scenario analysis for elliptic problems with uncertainty", Numerische Mathematik, Volume 101, Issue 2, pp 185-219, August 2005
Babuška, I.; Nobile, F.; Tempone, R.
Worst case scenario analysis for elliptic problems with uncertainty
2005
This work studies linear elliptic problems under uncertainty. The major emphasis is on the deterministic treatment of such uncertainty. In particular, this work uses the Worst Scenario approach for the characterization of uncertainty on functional outputs (quantities of physical interest). Assuming that the input data belong to a given functional set, eventually infinitely dimensional, this work proposes numerical methods to approximate the corresponding uncertainty intervals for the quantities of interest. Numerical experiments illustrate the performance of the proposed methodology.
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