Abstract
The group of the author have been proposing stochastic modeling for the simulation of earthquake phenomena. This paper presents the analysis theory of a stochastic model. While the stochastic model problem is formulated as a boundary value problem, the proposed analysis theory transforms the boundary value problem into an equivalent variational problem, in which the correlation between the input uncertainty of the model and the output variability of the responses needs not to be explicitly considered. This paper gives detailed explanations of the analysis theory and presents efficient numerical computation methods of a stochastic model problem based on the present analysis theory.
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