Worst case scenario analysis for elliptic problems with uncertainty

• 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.

Nyckelord

boundary-value-problems

sensitivity-analysis

verification

adaptivity

validation

domain

error

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)