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| In recent years the topic of uncertainty quantification has become of great interest. Complex systems in physical, biological, social, engineering, and technology sciences can be formulated as random equations of various classes. For example the subsurface flow with uncertain permeability can be modelled as stationary diffusion problem with random coefficient.
In this talk we consider random operator equations with which we are able to capture a broader class of such random equations than only random elliptic partial differential equations. We investigate in this context the existence of a unique weak solution and, furthermore, we study the stochastic Galerkin method using generalized polynomial chaos in order to obtain an approximate solution. |
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