On the worst scenario method: Application to a quasilinear elliptic 2D-problem with uncertain coefficients

0365074 - ÚGN 2012 RIV CZ eng J - Journal Article
Harasim, Petr
On the worst scenario method: Application to a quasilinear elliptic 2D-problem with uncertain coefficients.
Applications of Mathematics. Roč. 56, č. 5 (2011), s. 459-480. ISSN 0862-7940. E-ISSN 1572-9109
Institutional research plan: CEZ:AV0Z30860518
Keywords : Worst scenario method * nonlinear differential equation * Kachanov method
Subject RIV: BA - General Mathematics
Impact factor: 0.480, year: 2011
http://am.math.cas.cz/am56-5/2.html

We apply a theoretical framework for solving a class of worst scenario problems to a problem with a nonlinear partial differential equation. The existence of the worst scenario is proved through the convergence of a sequence of approximate worst scenarios. Furthermore, it is shown that the Galerkin approximation of the state solution can be calculated by means of the Kachanov method.
Permanent Link: http://hdl.handle.net/11104/0200410