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Response Surfaces based on Polynomial Chaos Expansions

Bruno Sudret · Géraud Blatman · Marc Berveiller

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Probabilistic and Robust Engineering Design Advanced Multi-Objective Optimization Algorithms Gaussian Processes and Bayesian Inference

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This chapter contains sections titled: Introduction Building of a polynomial chaos basis Computation of the expansion coefficients Applications in structural reliability Conclusion Bibliography

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2000A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code 1991Stochastic Finite Elements: A Spectral Approach 1979A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code 1996Structural Reliability Methods 2010Adaptive sparse polynomial chaos expansion based on least angle regression 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis 1991Optimization algorithms for structural reliability 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure

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