Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
Simulation and the Monte Carlo Method
Simulation and the Monte Carlo Method
Programming the Finite Element Method
Programming the Finite Element Method
Random Data: Analysis and Measurement Procedures
Random Data: Analysis and Measurement Procedures
Toward simulation-based design
Finite Elements in Analysis and Design - Special issue: The fifteenth annual Robert J. Melosh competition
User-Friendly Parallel Computations with Econometric Examples
Computational Economics
Getting more from your multicore: exploiting OpenMP from an open-source numerical scripting language
Concurrency and Computation: Practice & Experience
Hierarchical parallelisation for the solution of stochastic finite element equations
Computers and Structures
Efficient component-wise and solver-based intrusive SFEM analysis of complex structures
Finite Elements in Analysis and Design
Efficient stochastic structural analysis using Guyan reduction
Advances in Engineering Software
General purpose software for efficient uncertainty management of large finite element models
Finite Elements in Analysis and Design
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This contribution describes how the uncertainty associated with structures can be modeled and analyzed, in context with state-of-the-art FE software and modern computing infrastructure. Uncertainty modeling with high-dimensional random variables and random fields motivates the adoption of advanced Monte Carlo methods for reliability analysis. On the implementation side, object-orientation and parallelization have been embraced to ensure flexibility and performance. A novel, Matlab-based toolkit, COSSAN-X, embodying these characteristics, is presented. The application to a satellite under harmonic excitation and a turbine blade under centrifugal loading indicates the importance of considering spatial fluctuations and the scalability with respect to realistic FE models.