Stochastic Finite and Boundary Elements

by Gautam Dasgupta, Columbia Univ, New York, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

The random coefficients in partial differential equations, which govern the responses of stochastic thermo-mechanical systems, (Dasgupta, 1991), pose a computational challenge. The large nondeterministic deviations can only be captured from Monte Carlo simulations, (Nakagiri, 1980) and (Shinozuka, 1972). Only the 'inversion' of the uncoupled thermal and elastodynamic operators pertaining to a uniform continuum is deemed adequate for coupled system stochasticity problems by boundary elements employing stationary iterations, (Dasgupta, 1991). In stochastic finite element the convection like terms, in the light of Tatarski's wave consideration, (Tatarski, 1961), are captured via stochastic strain-displacement matrices.

Subject Headings: Boundary element method | Stochastic processes | Finite element method | Strain | Monte Carlo method | Mathematics | Differential equations

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