Stochastic Mixed Finite Difference Method

by P. D. Spanos, Rice Univ, Houston, United States,
B. A. Zeldin, Rice Univ, Houston, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

Some aspects of numerical solutions of stochastic mechanics problems are considered. The Finite Difference method for discretization of stochastic continuous media problems is discussed. The Neumann expansion and pertubation methods used for solving the associated system of algebraic equations are analyzed. Their dependence on the mesh size of the discretization is investigated. It is shown that a mixed formulation using both strain and stress as independent variables improves the performance of these methods and reduces their dependence on the mesh size.

Subject Headings: Finite element method | Stochastic processes | Finite difference method | Stress strain relations | Stress analysis | Numerical methods | Mathematics

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