Worst case scenario analysis for elliptic problems with uncertainty

I. Babuška, F. Nobile, Raul Tempone

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)185-219
Number of pages35
JournalNumerische Mathematik
Volume101
Issue number2
DOIs
StatePublished - Aug 1 2005

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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